Question

If two numbers (positive) A and B can be expressed as A=xy3 and B=x4y2z, x, y being prime numbers then HCF of A and B isIf two numbers (positive) A and B can be expressed as A=xy3 and B=x4y2z, x, y being prime numbers then HCF of A and B is A. xy2xy2 B. x4y2zx4y2z C. x4y3x4y3 D. x4y3zx4y3z

Answer 1

Given : two numbers (positive) A and B can be expressed as A  = xy³ B = x⁴y²z  . x, y being prime numbers

To find : HCF of A & B

Solution :

A  = xy³

B = x⁴y²z

HCF = Highest common factor

A = xy³

= (xy²)y

B = x⁴y²z

= ( xy²)x³z

xy² is common factor in A & B

HCF = xy²

HCF of A and B is xy²

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