import math
t=int(input())
MOD=10**9+7
for _ in range(t):
  n,k,h,y=map(int,input().split())
  r=[n,k,h]
  r.sort()
  ans=0
  p=math.gcd(r[0],r[1])
  k=r[0]//p
  q=r[1]//p
  a=pow(k,-1,q)
  b=(1-a*k)//q
  while a<0:
      a+=q
      b-=k
  while b<0:
      b+=k
      a-=q
  for i in range(0,y,r[2]):
    tmp=y-i
    if tmp%p:
      continue
    tmp=tmp//p
    ans=(ans+(b*tmp*p)//k-(-a*tmp*p)//q)%MOD
    if (b*tmp*p)%k:
      ans=(ans+1)%MOD
  print(ans)