/** * @FileName a.cpp * @Author kanpurin * @Created 2020.06.17 20:11:24 **/ #include "bits/stdc++.h" using namespace std; typedef long long ll; template < typename T > T gcd(T a, T b) { return b ? gcd(b, a % b) : a; } constexpr int MOD = 1e9 + 7; struct mint { private: long long x; public: mint(long long x = 0) : x((MOD + x) % MOD) {} mint(std::string &s) { long long z = 0; for (int i = 0; i < s.size(); i++) { z *= 10; z += s[i] - '0'; z %= MOD; } this->x = z; } mint &operator+=(const mint &a) { if ((x += a.x) >= MOD) x -= MOD; return *this; } mint &operator-=(const mint &a) { if ((x += MOD - a.x) >= MOD) x -= MOD; return *this; } mint &operator*=(const mint &a) { (x *= a.x) %= MOD; return *this; } mint &operator/=(const mint &a) { long long n = MOD - 2; mint u = 1, b = a; while (n > 0) { if (n & 1) { u *= b; } b *= b; n >>= 1; } return *this *= u; } mint operator+(const mint &a) const { mint res(*this); return res += a; } mint operator-(const mint &a) const { mint res(*this); return res -= a; } mint operator*(const mint &a) const { mint res(*this); return res *= a; } mint operator/(const mint &a) const { mint res(*this); return res /= a; } friend std::ostream &operator<<(std::ostream &os, const mint &n) { return os << n.x; } bool operator==(const mint &a) const { return this->x == a.x; } }; struct Combination { private: int N; vector< mint > FACT, IFACT; mint pow(mint k, ll n) { mint res = 1; while (n > 0) { if (n & 1) { res *= k; } k *= k; n >>= 1; } return res; } public: Combination(int n) : N(n) { FACT.resize(n + 1); IFACT.resize(n + 1); FACT[0] = 1; IFACT[0] = 1; for (int i = 1; i <= n; i++) { FACT[i] = FACT[i - 1] * i; IFACT[i] = pow(FACT[i], MOD - 2); } } mint comb(int n, int r) { if (n < 0 || r < 0 || r > n) return 0; if (r > n / 2) r = n - r; return FACT[n] * IFACT[n - r] * IFACT[r]; } }; template < typename T > vector< pair< T, int > > prime_factorization(T n) { vector< pair< T, int > > res; for (T i = 2; i * i <= n; i++) { int cnt = 0; while (n % i == 0) { n /= i; cnt++; } if (cnt > 0) res.push_back({i, cnt}); } if (n > 1) res.push_back({n, 1}); return res; } int bitpopcount(ll n) { int res = 0; while (n) { if (n & 1) res++; n >>= 1; } return res; } int main() { int n, k; cin >> n >> k; ll g = gcd(n, k); if (g == 1) { cout << 0 << endl; } else { Combination cb(n); auto v = prime_factorization(g); vector< mint > dp(1 << v.size(), 0); mint ans = 0; for (int i = 1; i < 1 << v.size(); i++) { ll t = 1; for (int j = 0; j < v.size(); j++) { if (i & (1 << j)) { t *= v[j].first; } } dp[i] = cb.comb(n / t, k / t); if (bitpopcount(i) & 1) { ans += dp[i]; } else { ans -= dp[i]; } } cout << ans << endl; } return 0; }