Question

If two positive integers m and n are expressible in the form m = pq³ and n = p³q², where p, q are prime numbers, then HCF (m, n) = 

Options

• pq

• pq2

• p³q²

• p²q²

Answer 1

Two positive integers are expressed as follows:

`m= pq^3`

`n = p^3,q^2`

p and q are prime numbers.

Then, taking the smallest powers of p and q in the values for m and n we get

HCF `(m,n)=pq^2`

Hence the correct choice is (b).