#include <stdio.h>
#include <atcoder/all>
#include <bits/stdc++.h>
using namespace std;
using namespace atcoder;
using mint = modint998244353;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf32 1000000001
#define Inf64 4000000000000000001

mint get(long long a,long long b,long long c){
	long long g = gcd(b,c);
	a /= g;
	b /= g;
	c /= g;
	//cout<<a<<','<<b<<','<<c<<endl;
	if(a/b==c)return 0;
	if(b>c){
		mint ret = c;
		ret -= a/b;
		ret *= 2;
		return ret;
		
	}
	else{
		return get(((a+c-1)/c)*c,c,b) + 1;
	}
}

int main(){
	
	int _t;
	cin>>_t;
	
	rep(_,_t){
		
		long long a,b,c;
		cin>>a>>b>>c;
		
		if(a%b==0&&a%c==0){
			cout<<1<<endl;
			continue;
		}
		
		mint ans = 0;
		ans += 1;
		
		long long x = ((a+b-1)/b)*b;
		long long y = ((a+c-1)/c)*c;
		if(x<=y){
			if(x!=a)ans++;
			ans += get(x,b,c);
		}
		else{
			if(y!=a)ans++;
			ans += get(y,c,b);
		}
		
		cout<<ans.val()<<endl;
		
	}
	
	
	return 0;
}