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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
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 p 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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