import math
I=input
J=int
R=range
T=J(I())
P=998244353
L=100001
f=[1]*L
g=[1]*L
for i in R(1,L):
	f[i]=(f[i-1]*i)%P
	g[i]=(g[i-1]*pow(i,-1,P))%P
for t in R(T):
	X=I().split()
	H=J(X[0])
	W=J(X[1])
	a=H*W
	G=math.gcd(H,W)
	if G>3:
		a+=G*2
		if G>4 and H*W//G%3==0:
			a+=G*12
		if G%2==0:
			for i in R(2):
				s=0
				r=(G+i*3)%6
				j=6 if r==0 else r
				k=(G//2-j*5)//3
				while k>=0:
					s+=(f[j-1+k]*((g[j]*g[k])%P))%P
					j+=6
					k=(G//2-j*5)//3
				s=(s%P)*G%P
				a+=s*s
			if G%4==0:
				a+=16
	print(a%P)