#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<cmath>
//#include<cctype>
#include<climits>
#include<iostream>
#include<string>
#include<vector>
#include<map>
//#include<list>
#include<queue>
#include<deque>
#include<algorithm>
//#include<numeric>
#include<utility>
//#include<memory>
#include<functional>
#include<cassert>
#include<set>
#include<stack>
#include<random>

const int dx[] = {1, 0, -1, 0};
const int dy[] = {0, -1, 0, 1};
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef pair<int, int> pii;

ll mod_pow(ll x, ll p, ll MOD) {
    ll a = 1;
    while (p) {
        if (p%2) a = a*x%MOD;
        x = x*x%MOD;
        p/=2;
    }
    return a;
}

// mod_inverse
ll mod_inverse(ll a, ll m) {
    return mod_pow(a, m-2, m);
}

const int MOD = 1e9+7;

map<int, int> primeFactor(int n) {
    map<int, int> ret;
    for (int i = 2; i*i <= n; i++) {
        int cnt = 0;
        while (n%i == 0) {
            cnt++;
            n /= i;
        }
        if (cnt) ret.insert(pii(i, cnt));
    }
    if (n > 1) ret.insert(pii(n, 1));
    return ret;
}

vector<int> divisors(int n) {
    vector<int> ret;
    for (int i = 1; i*i <= n; i++) {
        if (n%i == 0) {
            ret.push_back(i);
            if (i*i < n) ret.push_back(n/i);
        }
    }
    sort(ret.begin(), ret.end());
    return ret;
}

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    ll H, W, K;
    cin >> H >> W >> K;
    vector<int> divH = divisors(H), divW = divisors(W);
    map<int, int> primeH = primeFactor(H), primeW = primeFactor(W);
    ll ans = 0;
    for (int gcdh : divH) for (int gcdw : divW) {
        ll k = mod_pow(K, W*H/gcdh/gcdw*__gcd(gcdh, gcdw), MOD);
        ll hnum = gcdh, wnum = gcdw;
        for (auto p : primeH) {
            if (hnum % p.first == 0) hnum -= hnum/p.first;
        }
        for (auto p : primeW) {
            if (wnum % p.first == 0) wnum -= wnum/p.first;
        }
        (ans += k*hnum%MOD*wnum%MOD) %= MOD;
    }
    (ans *= mod_inverse(W*H%MOD, MOD)) %= MOD;
    cout << ans << endl;
    return 0;
}