Question

if two positive integers a and b are written as a=x³y² and b=xy³: x,y are prime no.s , find HCF (a,b)
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Answer 1

Answer:

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Step-by-step explanation:

a=x

3

y

2

and b=xy

3

H.C.F will be the common numbers between a and b i.e. xy

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.