Question

A . If two positive integers a and b are written as a = p3q2 and b = pq3; p, q are prime numbers, then HCF (a, b) is:

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Answer 1

Answer:

$hcf \: = \: p {q}^{2}$

Step-by-step explanation:

$a = {p}^{3} {q}^{2} \\ b = p {q}^{3} \\ hcf = p {q}^{2}$

Answer 2

Step-by-step explanation:

HCF(Highestcommonfactor):−(AlsocalledasGCD)HCFoftwo

numbersisthenumberwhichcomletelydivides(with0remainder)

boththenumbers.Forexample,HCFof14and21is7,HCF(54,27)is27.

Givena=x

3

y

2

,b=xy

3

Itcanbeobservedthatxy

2

isacommonfactorofbothaandb.

HenceHCF(a,b)=xy

2

.