Question

please help me, anyone know to solve this problem?
''let a,b are integers and let p, and q be primes suppose gcd(a,p^2)=p, gcd(a,q^4)=q^4, gcd(b,p^3)=p^2 and gcd(b,q^5)=q^2. then which sttement is always true?
A) gcd(a,b)=pq^3
B) lcm(a,b)=pq^3
C) gcd(ab,(pq)^4)=p^3q^4
D) gcd(ab,(pq)^3)=p^2q^3
E) gcd(a^3,q^4)=q^3''
thanks.

Answer 1

my answer is (C)

Answer 2

tnz dr