"""

"""

import sys
from sys import stdin
import math

def extGCD2(a,b):
    if b:
        d,y,x = extGCD(b,a % b)
        y -= a // b * x
        return d,x,y
    return a,1,0

def extGCD(a,b):
    g = math.gcd(a,b)
    x, y, u, v = 1, 0, 0, 1
    while b:
        k = a // b
        x -= k * u
        y -= k * v
        x, u = u, x
        y, v = v, y
        a, b = b, a % b
    return g ,x, y

TT = int(stdin.readline())
mod = 10**9+7
ans = 0

for loop in range(TT):

    N,K,H,Y = map(int,stdin.readline().split())
    A = [N,K,H]
    A.sort()
    A.reverse()
    ans = 0

    aa,bb = A[1],A[2]
    gg,xx,yy = extGCD(aa,bb)

    for i in range(0,Y // A[0] + 1):

        rem = Y - A[0] * i
        #print (rem)

        a,b,g,x,y = aa,bb,gg,xx,yy

        if rem % g != 0:
            continue

        x *= rem // g
        y *= rem // g

        lcm = a * b // g
        p = lcm // a
        q = lcm // b

        #xをp増やし、yをq減らす
        #xをp減らし、yをq増やす　ができる

        if x >= 0:
            move = x // p
            xa,ya = x - move * p , y + move * q
        else:
            move = (abs(x)+p-1) // p
            xa,ya = x + move * p , y - move * q

        if y >= 0:
            move = y // q
            xb,yb = x + move * p, y - move * q
        else:
            move = (abs(y)+q-1) // q
            xb,yb = x - move * p , y + move * q

        if ya < 0 or xb < 0:
            continue

        #print (rem , xa , ya , xb , yb)
        ans += max(0 , (xb - xa) // p + 1)
        ans %= mod

    print (ans)