If two positive integers m and n are expressible in the form m-p q3 and n-p3 q2- where p- q are prime numbers- then HCFm- n-a p qb p q 2c p3 q2d p2 q2

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Mathematics

Euclid's Division Algorithm

If two positi...

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) =
(a) pq
(b) pq2
(c) p³q²
(d) p²q²

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Solution

Two positive integers are expressed as follows:

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

Hence the correct choice is (b).

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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) = (a) pq (b) pq2 (c) p3q2 (d) p2q2

Two positive integers are expressed as follows: 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 Hence the correct choice is (b).

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) =
(a) pq
(b) pq2
(c) p³q²
(d) p²q²

Two positive integers are expressed as follows:

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

Hence the correct choice is (b).