Question

2. if two positive integers a and b are written as
a = x^3y^2 and b=xy^3 Then find Hcf (a,b) is
​

Answer 1

Answer:

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

.

Answer 2

Explanation:

It is given that

$a = {x}^{3} {y}^{2} = x \times \: x \times x \: \times y \times y \\ b = x {y}^{3} = x \times y \times y \times y \\ then \: hcf_{(a \: and \: b)} = x \times y \times y = x {y}^{2}$

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