Question

If two positive integers m and n are expressible in the form m= $pq^{3}$ and n= $p^{3}q^{2}$, where p,q are prime numbers,then HCF(m,n)=
(a) pq
(b) $pq^{2}$
(c) $p^{3}q^{2}$
(d) $p^{2}q^{2}$

Answer 1

SOLUTION :  

Option (a) is correct : pq²

Given :  

m = pq³  & n = p³q² , p & q are prime number.

The factors are as follows :  

m = p¹ × q³  

n = p³ × q²

HCF ( a,b) = pq²

Hence, the correct option is (a) pq²

★★HCF : HCF of two or more numbers =  product of the smallest power of each common prime factor involved in the numbers.

HOPE THIS ANSWER WILL HELP YOU...

Answer 2

The solution is provided in the attachment.
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