if two positive integers a and b
are written as a = x3y3 and b hcf (a,b) is
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Answer:
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
.
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