Question

if two positive integer a & b are written as a=p^2q^2 and b=pq^3 pand q are prime numbers then HCF(a,b) is​

Answer 1

Answer:

Since a = p x p x p x q x q,

Since a = p x p x p x q x q, b = p x q x q x q

Since a = p x p x p x q x q, b = p x q x q x qTherefore H.C.F of a and b = pq2

Answer 2

Answer:

Answer:

Given :

a = pq²& b = p³q, p & q are prime number.

The factors are as follows:

a = p¹ x q²

b = p³ x q¹

HCF (a,b) = pq²

Hence, p³q²

HCF= HCFof two or more numbers product of the greatest power of each common prime factor involved in the numbers with highest power.

hope it helps ✅✅