1. If two positive integers a and b are written as a = x3y2 and b = xy3; where x, y are prime numbers, then HCF (a,b) is: a) xy b) xy2 c) x3y3 d) x2y2

Question

1. If two positive integers a and b are written as a = x3y2 and b = xy3; where x, y are prime numbers, then HCF (a,b) is: a) xy b) xy2 c) x3y3 d) x2y2
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Solution 1

The Highest Common Factor (HCF) is calculated by taking the lowest powers of common factors.

In this case, the common factors are x and y.

For a = x^3y^2, the powers of x and y are 3 and 2 respectively.

For b = xy^3, the powers of x and y are 1 and 3 respectively.

So, the HCF will be x^1y^2 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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