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Class 10 Mathematics Real Numbers HCF and LCM using prime factorisationEasyLevel 10

What is the HCF of (27) and (36)?

Answer and explanation

Correct answer: (9)

Step 1: (27=3^3) and (36=2^2\times3^2). Step 2: The common prime factor is (3), and the smaller power is (3^2). Step 3: (3^2=9), so the HCF is (9).

Tags

real-numbershcfprime-factorisation

Frequently asked questions

What is the correct answer to this question?

(9)

Why is this the correct answer?

Step 1: (27=3^3) and (36=2^2\times3^2). Step 2: The common prime factor is (3), and the smaller power is (3^2). Step 3: (3^2=9), so the HCF is (9).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: HCF and LCM using prime factorisation.

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