/**
 *  date : 2023-04-21 21:55:09
 */

#define NDEBUG
using namespace std;

// intrinstic
#include <immintrin.h>

#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cctype>
#include <cfenv>
#include <cfloat>
#include <chrono>
#include <cinttypes>
#include <climits>
#include <cmath>
#include <complex>
#include <cstdarg>
#include <cstddef>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <deque>
#include <fstream>
#include <functional>
#include <initializer_list>
#include <iomanip>
#include <ios>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <streambuf>
#include <string>
#include <tuple>
#include <type_traits>
#include <typeinfo>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

// utility
namespace Nyaan {
using ll = long long;
using i64 = long long;
using u64 = unsigned long long;
using i128 = __int128_t;
using u128 = __uint128_t;

template <typename T>
using V = vector<T>;
template <typename T>
using VV = vector<vector<T>>;
using vi = vector<int>;
using vl = vector<long long>;
using vd = V<double>;
using vs = V<string>;
using vvi = vector<vector<int>>;
using vvl = vector<vector<long long>>;

template <typename T, typename U>
struct P : pair<T, U> {
  template <typename... Args>
  P(Args... args) : pair<T, U>(args...) {}

  using pair<T, U>::first;
  using pair<T, U>::second;

  P &operator+=(const P &r) {
    first += r.first;
    second += r.second;
    return *this;
  }
  P &operator-=(const P &r) {
    first -= r.first;
    second -= r.second;
    return *this;
  }
  P &operator*=(const P &r) {
    first *= r.first;
    second *= r.second;
    return *this;
  }
  template <typename S>
  P &operator*=(const S &r) {
    first *= r, second *= r;
    return *this;
  }
  P operator+(const P &r) const { return P(*this) += r; }
  P operator-(const P &r) const { return P(*this) -= r; }
  P operator*(const P &r) const { return P(*this) *= r; }
  template <typename S>
  P operator*(const S &r) const {
    return P(*this) *= r;
  }
  P operator-() const { return P{-first, -second}; }
};

using pl = P<ll, ll>;
using pi = P<int, int>;
using vp = V<pl>;

constexpr int inf = 1001001001;
constexpr long long infLL = 4004004004004004004LL;

template <typename T>
int sz(const T &t) {
  return t.size();
}

template <typename T, typename U>
inline bool amin(T &x, U y) {
  return (y < x) ? (x = y, true) : false;
}
template <typename T, typename U>
inline bool amax(T &x, U y) {
  return (x < y) ? (x = y, true) : false;
}

template <typename T>
inline T Max(const vector<T> &v) {
  return *max_element(begin(v), end(v));
}
template <typename T>
inline T Min(const vector<T> &v) {
  return *min_element(begin(v), end(v));
}
template <typename T>
inline long long Sum(const vector<T> &v) {
  return accumulate(begin(v), end(v), 0LL);
}

template <typename T>
int lb(const vector<T> &v, const T &a) {
  return lower_bound(begin(v), end(v), a) - begin(v);
}
template <typename T>
int ub(const vector<T> &v, const T &a) {
  return upper_bound(begin(v), end(v), a) - begin(v);
}

constexpr long long TEN(int n) {
  long long ret = 1, x = 10;
  for (; n; x *= x, n >>= 1) ret *= (n & 1 ? x : 1);
  return ret;
}

template <typename T, typename U>
pair<T, U> mkp(const T &t, const U &u) {
  return make_pair(t, u);
}

template <typename T>
vector<T> mkrui(const vector<T> &v, bool rev = false) {
  vector<T> ret(v.size() + 1);
  if (rev) {
    for (int i = int(v.size()) - 1; i >= 0; i--) ret[i] = v[i] + ret[i + 1];
  } else {
    for (int i = 0; i < int(v.size()); i++) ret[i + 1] = ret[i] + v[i];
  }
  return ret;
};

template <typename T>
vector<T> mkuni(const vector<T> &v) {
  vector<T> ret(v);
  sort(ret.begin(), ret.end());
  ret.erase(unique(ret.begin(), ret.end()), ret.end());
  return ret;
}

template <typename F>
vector<int> mkord(int N,F f) {
  vector<int> ord(N);
  iota(begin(ord), end(ord), 0);
  sort(begin(ord), end(ord), f);
  return ord;
}

template <typename T>
vector<int> mkinv(vector<T> &v) {
  int max_val = *max_element(begin(v), end(v));
  vector<int> inv(max_val + 1, -1);
  for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i;
  return inv;
}

vector<int> mkiota(int n) {
  vector<int> ret(n);
  iota(begin(ret), end(ret), 0);
  return ret;
}

template <typename T>
T mkrev(const T &v) {
  T w{v};
  reverse(begin(w), end(w));
  return w;
}

template <typename T>
bool nxp(vector<T> &v) {
  return next_permutation(begin(v), end(v));
}

template <typename T>
using minpq = priority_queue<T, vector<T>, greater<T>>;

}  // namespace Nyaan

// bit operation
namespace Nyaan {
__attribute__((target("popcnt"))) inline int popcnt(const u64 &a) {
  return _mm_popcnt_u64(a);
}
inline int lsb(const u64 &a) { return a ? __builtin_ctzll(a) : 64; }
inline int ctz(const u64 &a) { return a ? __builtin_ctzll(a) : 64; }
inline int msb(const u64 &a) { return a ? 63 - __builtin_clzll(a) : -1; }
template <typename T>
inline int gbit(const T &a, int i) {
  return (a >> i) & 1;
}
template <typename T>
inline void sbit(T &a, int i, bool b) {
  if (gbit(a, i) != b) a ^= T(1) << i;
}
constexpr long long PW(int n) { return 1LL << n; }
constexpr long long MSK(int n) { return (1LL << n) - 1; }
}  // namespace Nyaan

// inout
namespace Nyaan {

template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &p) {
  os << p.first << " " << p.second;
  return os;
}
template <typename T, typename U>
istream &operator>>(istream &is, pair<T, U> &p) {
  is >> p.first >> p.second;
  return is;
}

template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
  int s = (int)v.size();
  for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i];
  return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v) {
  for (auto &x : v) is >> x;
  return is;
}

istream &operator>>(istream &is, __int128_t &x) {
  string S;
  is >> S;
  x = 0;
  int flag = 0;
  for (auto &c : S) {
    if (c == '-') {
      flag = true;
      continue;
    }
    x *= 10;
    x += c - '0';
  }
  if (flag) x = -x;
  return is;
}

istream &operator>>(istream &is, __uint128_t &x) {
  string S;
  is >> S;
  x = 0;
  for (auto &c : S) {
    x *= 10;
    x += c - '0';
  }
  return is;
}

ostream &operator<<(ostream &os, __int128_t x) {
  if (x == 0) return os << 0;
  if (x < 0) os << '-', x = -x;
  string S;
  while (x) S.push_back('0' + x % 10), x /= 10;
  reverse(begin(S), end(S));
  return os << S;
}
ostream &operator<<(ostream &os, __uint128_t x) {
  if (x == 0) return os << 0;
  string S;
  while (x) S.push_back('0' + x % 10), x /= 10;
  reverse(begin(S), end(S));
  return os << S;
}

void in() {}
template <typename T, class... U>
void in(T &t, U &...u) {
  cin >> t;
  in(u...);
}

void out() { cout << "\n"; }
template <typename T, class... U, char sep = ' '>
void out(const T &t, const U &...u) {
  cout << t;
  if (sizeof...(u)) cout << sep;
  out(u...);
}

struct IoSetupNya {
  IoSetupNya() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(15);
    cerr << fixed << setprecision(7);
  }
} iosetupnya;

}  // namespace Nyaan

// debug

#ifdef NyaanDebug
#define trc(...) (void(0))
#else
#define trc(...) (void(0))
#endif

#ifdef NyaanLocal
#define trc2(...) (void(0))
#else
#define trc2(...) (void(0))
#endif

// macro
#define each(x, v) for (auto&& x : v)
#define each2(x, y, v) for (auto&& [x, y] : v)
#define all(v) (v).begin(), (v).end()
#define rep(i, N) for (long long i = 0; i < (long long)(N); i++)
#define repr(i, N) for (long long i = (long long)(N)-1; i >= 0; i--)
#define rep1(i, N) for (long long i = 1; i <= (long long)(N); i++)
#define repr1(i, N) for (long long i = (N); (long long)(i) > 0; i--)
#define reg(i, a, b) for (long long i = (a); i < (b); i++)
#define regr(i, a, b) for (long long i = (b)-1; i >= (a); i--)
#define fi first
#define se second
#define ini(...)   \
  int __VA_ARGS__; \
  in(__VA_ARGS__)
#define inl(...)         \
  long long __VA_ARGS__; \
  in(__VA_ARGS__)
#define ins(...)      \
  string __VA_ARGS__; \
  in(__VA_ARGS__)
#define in2(s, t)                           \
  for (int i = 0; i < (int)s.size(); i++) { \
    in(s[i], t[i]);                         \
  }
#define in3(s, t, u)                        \
  for (int i = 0; i < (int)s.size(); i++) { \
    in(s[i], t[i], u[i]);                   \
  }
#define in4(s, t, u, v)                     \
  for (int i = 0; i < (int)s.size(); i++) { \
    in(s[i], t[i], u[i], v[i]);             \
  }
#define die(...)             \
  do {                       \
    Nyaan::out(__VA_ARGS__); \
    return;                  \
  } while (0)

namespace Nyaan {
void solve();
}
int main() { Nyaan::solve(); }

//

long long my_gcd(long long x, long long y) {
  long long z;
  if (x > y) swap(x, y);
  while (x) {
    x = y % (z = x);
    y = z;
  }
  return y;
}
long long my_lcm(long long x, long long y) {
  return 1LL * x / my_gcd(x, y) * y;
}
#define gcd my_gcd
#define lcm my_lcm

// totient function φ(N)=(1 ~ N , gcd(i,N) = 1)
// {0, 1, 1, 2, 4, 2, 6, 4, ... }
vector<int> EulersTotientFunction(int N) {
  vector<int> ret(N + 1, 0);
  for (int i = 0; i <= N; i++) ret[i] = i;
  for (int i = 2; i <= N; i++) {
    if (ret[i] == i)
      for (int j = i; j <= N; j += i) ret[j] = ret[j] / i * (i - 1);
  }
  return ret;
}

// Divisor ex) 12 -> {1, 2, 3, 4, 6, 12}
vector<long long> Divisor(long long N) {
  vector<long long> v;
  for (long long i = 1; i * i <= N; i++) {
    if (N % i == 0) {
      v.push_back(i);
      if (i * i != N) v.push_back(N / i);
    }
  }
  return v;
}

// Factorization
// ex) 18 -> { (2,1) , (3,2) }
vector<pair<long long, int> > PrimeFactors(long long N) {
  vector<pair<long long, int> > ret;
  for (long long p = 2; p * p <= N; p++)
    if (N % p == 0) {
      ret.emplace_back(p, 0);
      while (N % p == 0) N /= p, ret.back().second++;
    }
  if (N >= 2) ret.emplace_back(N, 1);
  return ret;
}

// Factorization with Prime Sieve
// ex) 18 -> { (2,1) , (3,2) }
vector<pair<long long, int> > PrimeFactors(long long N,
                                           const vector<long long> &prime) {
  vector<pair<long long, int> > ret;
  for (auto &p : prime) {
    if (p * p > N) break;
    if (N % p == 0) {
      ret.emplace_back(p, 0);
      while (N % p == 0) N /= p, ret.back().second++;
    }
  }
  if (N >= 2) ret.emplace_back(N, 1);
  return ret;
}

// modpow for mod < 2 ^ 31
long long modpow(long long a, long long n, long long mod) {
  a %= mod;
  long long ret = 1;
  while (n > 0) {
    if (n & 1) ret = ret * a % mod;
    a = a * a % mod;
    n >>= 1;
  }
  return ret % mod;
};

// Check if r is Primitive Root
bool isPrimitiveRoot(long long r, long long mod) {
  r %= mod;
  if (r == 0) return false;
  auto pf = PrimeFactors(mod - 1);
  for (auto &x : pf) {
    if (modpow(r, (mod - 1) / x.first, mod) == 1) return false;
  }
  return true;
}

// Get Primitive Root
long long PrimitiveRoot(long long mod) {
  if(mod == 2) return 1;
  long long ret = 1;
  while (isPrimitiveRoot(ret, mod) == false) ret++;
  return ret;
}

// Euler's phi function
long long phi(long long n) {
  auto pf = PrimeFactors(n);
  long long ret = n;
  for (auto p : pf) {
    ret /= p.first;
    ret *= (p.first - 1);
  }
  return ret;
}

// Extended Euclidean algorithm
// solve : ax + by = gcd(a, b)
// return : pair(x, y)
pair<long long, long long> extgcd(long long a, long long b) {
  if (b == 0) return make_pair(1, 0);
  long long x, y;
  tie(y, x) = extgcd(b, a % b);
  y -= a / b * x;
  return make_pair(x, y);
}

// Check if n is Square Number
// true : return d s.t. d * d == n
// false : return -1
long long SqrtInt(long long n) {
  if (n == 0 || n == 1) return n;
  long long d = (long long)sqrt(n) - 1;
  while (d * d < n) ++d;
  return (d * d == n) ? d : -1;
}

// return a number of n's digit
// zero ... return value if n = 0 (default -> 1)
int isDigit(long long n, int zero = 1) {
  if (n == 0) return zero;
  int ret = 0;
  while (n) {
    n /= 10;
    ret++;
  }
  return ret;
}

using namespace Nyaan;

ll calc(ll M, ll A, ll B, ll K) {
  if (gcd(A, B) != 1) {
    ll g = gcd(A, B);
    if (K % g != 0) return 0;
    M /= g, A /= g, B /= g, K /= g;
  }
  if (min(A, B) < K) return 0;
  ll ans = 0;
  rep(t, 2) {
    if (A < B && A == K) {
      // 左端は A
      // 右端は？
      ll R = max(M / A * A, M / B * B);
      ll num = M / A - 1;
      // 間に M/B 個の B の倍数が入る
      num -= M / B;
      if (R % A != 0 and R % B == 0) num++;
      ans += num;
    } else {
      // Ax - By = K
      auto [x, y] = extgcd(A, B);
      trc(A, x, B, y);
      y = -y;
      if (x <= 0 and y <= 0) x += B, y += A;
      x *= K, y *= K;
      trc(A, x, B, y);
      ll q = min(x / B, y / A);
      x -= q * B, y -= q * A;
      if (y == 0) x += B, y += A;
      trc(A, x, B, y);
      if (x * A <= M) {
        ans += (M - x * A + A * B) / (A * B);
      }
    }
    swap(A, B);
  }
  return ans;
}

ll naive(ll M, ll A, ll B, ll K) {
  vl v;
  for (ll x = A; x <= M; x += A) v.push_back(x);
  for (ll x = B; x <= M; x += B) v.push_back(x);
  v = mkuni(v);
  ll ans = 0;
  rep(i, sz(v) - 1) ans += v[i + 1] - v[i] == K;
  return ans;
}

void test() {
  rep1(A, 20) reg(B, A + 1, 21) reg(M, A, 30) rep1(K, 30) {
    ll an = naive(M, A, B, K);
    ll ac = calc(M, A, B, K);
    if (an != ac) {
      trc2(M, A, B, K);
      trc2(an, ac);
      exit(1);
    }
  }
  trc2("OK");
}

void q() {
  //test();
  inl(M, A, B, K);
  out(calc(M, A, B, K));
}

void Nyaan::solve() {
  int t = 1;
  in(t);
  while (t--) q();
}