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
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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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