#include<bits/allocator.h>
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx2,fma,bmi,bmi2,popcnt,lzcnt,tune=native")

#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define ull unsigned long long
#define int128 __int128_t
#define double long double
// #define gcd __gcd
// #define lcm(a, b) ((a)/gcd(a, b)*(b))
#define sqrt sqrtl
#define log2 log2l
#define log10 log10l
#define floor floorl
#define yes cout << "YES"
#define no cout << "NO"
#define trav(i, a) for (auto &i: (a))
#define all(a) (a).begin(), (a).end()
#define rall(a) (a).rbegin(), (a).rend()
#define sz(a) (int)a.size()
#define Max(a) *max_element(all(a))
#define Min(a) *min_element(all(a))
#define Find(a, n) (find(all(a), n) - a.begin())
#define Count(a, n) count(all(a), n)
#define Upper(a, n) (upper_bound(all(a), n) - a.begin())
#define Lower(a, n) (lower_bound(all(a), n) - a.begin())
#define next_perm(a) next_permutation(all(a))
#define prev_perm(a) prev_permutation(all(a))
#define sorted(a) is_sorted(all(a))
#define sum(a) accumulate(all(a), 0)
#define sumll(a) accumulate(all(a), 0ll)
#define Sort(a) sort(all(a))
#define Reverse(a) reverse(all(a))
#define Unique(a) Sort(a), (a).resize(unique(all(a)) - a.begin())
#define pb push_back
#define eb emplace_back
#define popcount __builtin_popcount
#define popcountll __builtin_popcountll
#define clz __builtin_clz
#define clzll __builtin_clzll
#define ctz __builtin_ctz
#define ctzll __builtin_ctzll
#define open(s) freopen(s, "r", stdin)
#define write(s) freopen(s, "w", stdout)
#define fileopen(s) open((string(s) + ".inp").c_str()), write((string(s) + ".out").c_str());
#define For(i, a, b) for (auto i = (a); i < (b); ++i)
#define Fore(i, a, b) for (auto i = (a); i >= (b); --i)
#define FOR(i, a, b) for (auto i = (a); i <= (b); ++i)
#define ret(s) return void(cout << s);

constexpr int mod = 1e9 + 7, mod2 = 998244353;
constexpr double eps = 1e-9;
const double PI = acos(-1);
constexpr ull npos = string::npos;
constexpr int dx[] = {1, 0, -1, 0, 1, 1, -1, -1}, dy[] = {0, 1, 0, -1, 1, -1, 1, -1};
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using cd = complex<double>;
mt19937 mt(chrono::system_clock::now().time_since_epoch().count());
mt19937_64 mt64(chrono::system_clock::now().time_since_epoch().count());
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ll> vll;
typedef vector<vll> vvll;
typedef vector<double> vdo;
typedef vector<vdo> vvdo;
typedef vector<string> vs;
typedef vector<pii> vpair;
typedef vector<vpair> vvpair;
typedef vector<bool> vb;
typedef vector<vb> vvb;
typedef vector<char> vc;
typedef vector<vc> vvc;
typedef vector<cd> vcd;
typedef priority_queue<int> pq;
typedef priority_queue<int, vi, greater<int>> pqg;
typedef priority_queue<ll> pqll;
typedef priority_queue<ll, vll, greater<ll>> pqgll;

ll add(ll a, ll b, int m) {a = (a >= m ? a % m: a);b = (b >= m ? b % m: b);a+=b;return a >= m ? a - m: a;}
ll sub(ll a, ll b, int m) {a = (a >= m ? a % m: a);b = (b >= m ? b % m: b);a-=b;return a < 0 ? a + m: a;}
ll mul(ll a, ll b, int m) {a = (a >= m ? a % m: a);b = (b >= m ? b % m: b);return a*b % m;}
ll bin_mul(ll a, ll b, ll m) {a = (a >= m ? a % m: a);b = (b >= m ? b % m: b);ll x = 0;while (b) {if (b & 1) x = (x + a) % m;a = (a + a) % m;b>>=1;}return x;}
ll bin_pow(ll a, ll b, ll m) {ll x = 1;a = (a >= m ? a % m: a); while (b) {if (b & 1) x = bin_mul(x, a, m);a = bin_mul(a, a, m);b>>=1;}return x;}
ll power(ll a, ll b, int m) {ll x = 1;a = (a >= m ? a % m: a); while (b) {if (b & 1) x = x*a % m;a = a*a % m;b>>=1;}return x;}
ll power(ll a, ll b) {ll x = 1;while (b) {if (b & 1) x = x*a;a = a*a;b>>=1;}return x;}
ll ceil(ll a, ll b) {return (a + b - 1)/b;}
ll to_int(const string &s) {ll x = 0; for (int i = (s[0] == '-'); i < sz(s); ++i) x = x*10 + s[i] - '0';return x*(s[0] == '-' ? -1: 1);}
bool is_prime(ll n) {if (n < 2) return 0;if (n < 4) return 1;if (n % 2 == 0 || n % 3 == 0) return 0;for (ll i = 5; i*i <= n; i+=6) {if(n % i == 0 || n % (i + 2) == 0) return 0;}return 1;}
bool is_square(ll n) {ll k = sqrt(n); return k*k == n;}
ll factorial(int n) {ll x = 1;for (int i = 2; i <= n; ++i) x*=i;return x;}
ll factorial(int n, int m) {ll x = 1;for (ll i = 2; i <= n; ++i) x = x*i % m;return x;}
bool is_power(ll n, ll k) {while (n % k == 0) n/=k;return n == 1ll;}
string str(ll n) {if (n == 0) return "0"; string s = ""; bool c = 0; if (n < 0) c = 1, n = -n; while (n) {s+=n % 10 + '0'; n/=10;} if (c) s+='-'; Reverse(s); return s;}
string repeat(const string &s, int n) {if (n < 0) return ""; string x = ""; while (n--) x+=s; return x;}
string bin(ll n) {string s = ""; while (n) {s+=(n & 1) + '0'; n>>=1;} Reverse(s); return s;}
void sieve(vector<bool> &a) {int n = a.size(); a[0] = a[1] = 0; for (int i = 4; i < n; i+=2) a[i] = 0; for (int i = 3; i*i < n; i+=2) {if (a[i]) {for (int j = i*i; j < n; j+=(i << 1)) a[j] = 0;}}}
void sieve(bool a[], int n) {a[0] = a[1] = 0; for (int i = 4; i < n; i+=2) a[i] = 0; for (int i = 3; i*i < n; i+=2) {if (a[i]) {for (int j = i*i; j < n; j+=(i << 1)) a[j] = 0;}}}
void sieve(vector<int> &a) {int n = a.size(); for (int i = 2; i < n; i+=2) a[i] = 2; for (int i = 3; i*i < n; i+=2) {if (!a[i]) {for (int j = i; j < n; j+=(i << 1)) a[j] = i;}} for (int i = 3; i < n; i+=2) {if (!a[i]) a[i] = i;}}
void sieve(int a[], int n) {for (int i = 2; i < n; i+=2) a[i] = 2; for (int i = 3; i*i < n; i+=2) {if (!a[i]) {for (int j = i; j < n; j+=(i << 1)) a[j] = i;}} for (int i = 3; i < n; i+=2) {if (!a[i]) a[i] = i;}}
vector<pii> factorize(int n) {vector<pii> a; for (int i = 2; i*i <= n; ++i) {if (n % i == 0) {int k = 0; while (n % i == 0) ++k, n/=i; a.emplace_back(i, k);}} if (n > 1) a.emplace_back(n, 1); return a;}
int rand(int l, int r) {return uniform_int_distribution<int>(l, r)(mt);}
ll rand(ll l, ll r) {return uniform_int_distribution<ll>(l, r)(mt64);}
int Log2(int n) {return 31 - __builtin_clz(n);}
ll Log2(ll n) {return 63 - __builtin_clzll(n);}
template<class T> void compress(vector<T> &a) {vector<T> b; for (T &i: a) b.push_back(i); sort(all(b)); b.resize(unique(all(b)) - b.begin()); for (T &i: a) i = lower_bound(all(b), i) - b.begin() + 1;}
template<class A, class B> bool ckmin(A &a, const B &b) {return a > b ? a = b, 1: 0;}
template<class A, class B> bool ckmax(A &a, const B &b) {return a < b ? a = b, 1: 0;}

template<class A, class B> istream& operator>>(istream& in, pair<A, B> &p) {in >> p.first >> p.second; return in;}
template<class A, class B> ostream& operator<<(ostream& out, const pair<A, B> &p) {out << p.first << ' ' << p.second; return out;}
template<class T> istream& operator>>(istream& in, vector<T> &a) {for (auto &i: a) in >> i; return in;}
template<class T> ostream& operator<<(ostream& out, const vector<T> &a) {for (auto &i: a) out << i << ' '; return out;}
template<class T> istream& operator>>(istream& in, vector<vector<T>> &a) {for (auto &i: a) in >> i; return in;}
template<class T> ostream& operator<<(ostream& out, const vector<vector<T>> &a) {for (auto &i: a) out << i << '\n'; return out;}
template<class T> istream& operator>>(istream& in, deque<T> &a) {for (auto &i: a) in >> i; return in;}
template<class T> ostream& operator<<(ostream& out, const deque<T> &a) {for (auto &i: a) out << i << ' '; return out;}
// istream& operator>>(istream& in, __int128_t &a) {string s; in >> s; a = 0; for (int i = (s[0] == '-'); i < sz(s); ++i) a = a*10 + s[i] - '0'; a*=(s[0] == '-' ? -1: 1); return in;}
// ostream& operator<<(ostream& out, __int128_t a) {string s = ""; if (a < 0) out << '-', a = -a; if (a == 0) s+='0'; while (a > 0) {s+=(int)(a % 10) + '0'; a/=10;} Reverse(s); out << s; return out;}

template<auto P_> class Mint {
    using S = decltype(P_); static_assert(is_same_v<S, int> || is_same_v<S, long long>);
    static_assert(P_ & 1 && 0 < P_ && P_ < ((S)1 << (sizeof(S) * 8 - 2)));
    using U = conditional_t<is_same_v<S, int>, unsigned, unsigned long long>; using D = conditional_t<is_same_v<S, int>, unsigned long long, __uint128_t>;
    inline constexpr static U uinv(U x) {U y = x; for(int i = is_same_v<S, int> ? 4 : 5; i--;) y *= 2 - x * y; return y;}
    constexpr static U P = P_, P2 = P << 1, R = -uinv(P), R2 = -(D)P % P; static_assert(P * R == -1);
    inline constexpr static U reduce(D x) {return (x + (U)x * R * (D)P) >> (sizeof(U) * 8);}
    inline constexpr Mint(U x, int) : v(x) {} U v;
public:
    inline constexpr static S mod() {return P;}
    inline constexpr Mint() : v(0) {}
    inline constexpr Mint(const Mint &x) : v(x.v) {}
    template<class T, enable_if_t<numeric_limits<T>::is_integer, int> = 0> inline constexpr Mint(T x) : v(reduce((D)R2 * (numeric_limits<T>::is_signed && x < 0 ? ((x + P < 0) && (x %= P), x + P) : ((sizeof(T) > sizeof(U) && x >= (T)1 << sizeof(U)) && (x %= P), x)))) {}
    inline constexpr S val() const {U x = reduce(v); return (x - P) >> (sizeof(U) * 8 - 1) ? x : x - P;}
    template<class T, enable_if_t<numeric_limits<T>::is_integer, int> = 0> explicit inline constexpr operator T() const {return val();}
    inline constexpr friend bool operator==(const Mint &x, const Mint &y) {return x.val() == y.val();}
    inline constexpr friend bool operator!=(const Mint &x, const Mint &y) {return x.val() != y.val();}
    inline constexpr Mint &operator=(const Mint &x) & {v = x.v; return *this;}
    inline constexpr Mint &operator++() & {return *this += 1;}
    inline constexpr Mint operator++(int) & {Mint x = *this; *this += 1; return x;}
    inline constexpr Mint &operator--() & {return *this -= 1;}
    inline constexpr Mint operator--(int) & {Mint x = *this; *this -= 1; return x;}
    inline constexpr Mint operator-() const {return Mint(v ? P2 - v : 0, 0);}
    inline constexpr Mint &operator+=(const Mint &x) & {v += x.v, (v - P2) >> (sizeof(U) * 8 - 1) || (v -= P2); return *this;}
    inline constexpr Mint &operator-=(const Mint &x) & {v -= x.v, v >> (sizeof(U) * 8 - 1) && (v += P2); return *this;}
    inline constexpr Mint &operator*=(const Mint &x) & {v = reduce((D)v * x.v); return *this;}
    inline constexpr Mint &operator/=(const Mint &x) & {return *this *= x.inv();}
    inline constexpr friend Mint operator+(Mint x, const Mint &y) {return x += y;}
    inline constexpr friend Mint operator-(Mint x, const Mint &y) {return x -= y;}
    inline constexpr friend Mint operator*(Mint x, const Mint &y) {return x *= y;}
    inline constexpr friend Mint operator/(Mint x, const Mint &y) {return x /= y;}
    template<class T, enable_if_t<numeric_limits<T>::is_integer, int> = 0> inline constexpr Mint qpow(T y) const {Mint x = *this, z = 1; while(y) {if(y & 1) z *= x; if(y >>= 1) x *= x;} return z;}
    template<class T, enable_if_t<numeric_limits<T>::is_integer, int> = 0> inline constexpr friend Mint qpow(const Mint &x, T y) {return x.qpow(y);}
    inline constexpr Mint inv() const {return qpow(P - 2);}
    inline constexpr friend Mint inv(const Mint &x) {return x.inv();}
    inline friend istream &operator>>(istream &is, Mint &x) {S y; is >> y, x = y; return is;}
    inline friend ostream &operator<<(ostream &os, const Mint &x) {return os << x.val();}
};
using mint = Mint<mod>;
int phi(int n) {
    int x = n;
    for (int i = 2; i*i <= n; ++i) if (n % i == 0) {
        x-=x/i;
        while (n % i == 0) n/=i;
    }
    if (n > 1) x-=x/n;
    return x;
}
int main() {
    ios_base::sync_with_stdio(0); cin.tie(NULL); cout.tie(NULL);
    cout << fixed << setprecision(10);
    int n, m, k; cin >> n >> m >> k;
    mint x = 0;
    vi a, b;
    for (int i = 1; i*i <= n; ++i) if (n % i == 0) {
        a.pb(i);
        if (i*i < n) a.pb(n/i);
    }
    for (int i = 1; i*i <= m; ++i) if (m % i == 0) {
        b.pb(i);
        if (i*i < m) b.pb(m/i);
    }
    vi c(sz(a)), d(sz(b));
    For(i,0,sz(a)) c[i] = phi(a[i]);
    For(i,0,sz(b)) d[i] = phi(b[i]);
    if (sz(a) & 1) c.pb(c.back());
    if (sz(b) & 1) d.pb(d.back());
    For(i,0,sz(a)) For(j,0,sz(b)){
        x+=mint(k).qpow(a[i]*b[j]*gcd(n/a[i], m/b[j]))*c[i^1]*d[j^1];
    }
    cout << x/(n*m);
    cerr << "\nProcess returned 0 (0x0)   execution time :  " << 1.0*clock()/CLOCKS_PER_SEC << " s";
    return 0;
}