#include #include using namespace std; typedef long long ll; const ll mod = 1e9 + 7; ll modpow(ll a, ll b, ll p = 1e9+7){ if(b == 0) return 1; if(b % 2 == 0){ ll d = modpow(a, b/2, p); return (d*d) % p; }else{ return (a%p * modpow(a, b-1, p)) % p; } } struct ModComb{ vector po, inv; ll N; ModComb(ll n) : N(n), po(n), inv(n) { po[0] = 1; for(int i = 1; i < N; i++) po[i] = (po[i-1] * i) % mod; inv[N-1] = modpow(po[N-1], mod-2, mod); for(int i = N-2; i >= 0; i--) inv[i] = (inv[i+1] * (i+1)) % mod; } ll nCk(ll n, ll k){ if(k == 0) return 1; if(n < k) return 0; return (((po[n]*inv[n-k])%mod)*inv[k])%mod; } ll nPk(ll n, ll k){ if(k == 0) return 1; if(n < k) return 0; return (po[n]*inv[n-k])%mod; } ll nHk(ll n, ll k){ if(n == 0 && k == 0) return 1; return nCk(n+k-1, k-1); } }; ll gcd(ll a, ll b){ return b == 0 ? a : gcd(b, a%b); } int main(){ ll n, k; cin >> n >> k; vector v; ll x = gcd(n, k); for(int i = 2; i*i <= x; i++){ if(x%i == 0){ v.push_back(i); while(x%i == 0) x /= i; } } if(x != 1) v.push_back(x); ModComb mc(n+1); int siz = v.size(); ll ans = 0; for(int i = 1; i < 1<>j)&1) tmp *= v[j], cnt++; } ll x = cnt%2 == 0 ? -1 : 1; x *= mc.nCk(n/tmp, k/tmp); x = (x + mod) % mod; ans += x; ans %= mod; } cout << ans << endl; return 0; }