#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
using pairi = pair<ll, ll>;
#define fi first
#define se second

const ll INF = 4e18;
const ll MOD = 1e9 + 7;
const ll base = 31;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());

ll int_pow(ll a, ll base, ll mod = MOD) {
    ll res = 1; a %= mod;
    while (base) {
        if (base & 1) res = res * a % mod;
        a = a * a % mod; base >>= 1;
    } return res;
}
ll inv(ll n) {
    return int_pow(n, MOD - 2);
}

void solve() {
    ll ans = 0;
    ll h, w, k; cin >> h >> w >> k;

    vector<ll> dh, dw;
    for (ll i = 1; i * i <= h; i++) {
        if (h % i == 0) {
            dh.push_back(i);
            if (i * i != h) dh.push_back(h / i);
        }
    }
    for (ll i = 1; i * i <= w; i++) {
        if (w % i == 0) {
            dw.push_back(i);
            if (i * i != w) dw.push_back(w / i);
        }
    }

    sort(dh.rbegin(), dh.rend());
    sort(dw.rbegin(), dw.rend());
    ll nh = dh.size(), nw = dw.size();
    vector<ll> gh(nh), gw(nw);
    for (int i = 0; i < nh; i++) {
        gh[i] = h / dh[i];
        for (int j = 0; j < i; j++) {
            if (dh[j] % dh[i] == 0) gh[i] -= gh[j];
        }
    }
    for (int i = 0; i < nw; i++) {
        gw[i] = w / dw[i];
        for (int j = 0; j < i; j++) {
            if (dw[j] % dw[i] == 0) gw[i] -= gw[j];
        }
    }
    
    for (int i = 0; i < nh; i++) {
        for (int j = 0; j < nw; j++) {
            ll po = dh[i] * dw[j] % (MOD - 1) * __gcd(h / dh[i], w / dw[j]) % (MOD - 1);
            ll ad = gh[i] * gw[j] % MOD * int_pow(k, po) % MOD;
            ans = (ans + ad) % MOD;
        }
    }
    ans = ans * inv(h * w) % MOD;
    cout << ans;
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr); cout.tie(nullptr);
    
    cerr << "Program started.\n";
    auto start = chrono::steady_clock::now();
    string problem = "std";
    if (fopen((problem + ".INP").c_str(), "r")) {
        freopen((problem + ".INP").c_str(), "r", stdin);
        freopen((problem + ".OUT").c_str(), "w", stdout);
    }
    int testcase = 1; //cin >> testcase;
    while (testcase--) solve();
    auto end = chrono::steady_clock::now();
    cerr << "Program finished in " << chrono::duration_cast<chrono::milliseconds>(end - start).count() << " ms.";
}