Let a and b be two positive integers such that a = p3q4 and b = p2q3 , where p and q areprime numbers. If HCF(a,b) = pmqn and LCM(a,b) = prqs, then (m+n)(r+s

Question

Let a and b be two positive integers such that a = p3q4 and b = p2q3 , where p and q areprime numbers. If HCF(a,b) = pmqn and LCM(a,b) = prqs, then (m+n)(r+s
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Solution 1

Sure, let's solve the problem step by step.

Step 1: Expressing a and b in terms of their prime factors: We are given that a = p^3 * q^4 and b = p^2 * q^3, where p and q are prime numbers.

Step 2: Finding the highest common factor (HCF) of a and b: To find the HCF, we need to determine the highest 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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