Question

if two positive integers a and b is written as a = X power 3 y power 2 and b = xz power 2 x z are prime number then HCF a b is​

Answer 1

Answer:

2

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

.