# 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) = - Mathematics

MCQ

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

• pq

• pq2

• p3q2

• p2q2

#### Solution

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 and q in the values for m and n we get

HCF (m,n)=pq^2

Hence the correct choice is (b).

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 1 Real Numbers
Q 9 | Page 59