if two positive integer a and b are written as a=x^3y^2 and b=xy^2 where x,y are the prime number then hcf (a,b)is
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HCF(Highest Common Factor):−(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
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