Question

two positive integers a and b can be written as a=x3y2 and b=xy3 where x and y are prime numbers then find LCM a,b and HCF a,b​

Answer 1

Answer:

Correct option is

B

xy

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

.

Step-by-step explanation:

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