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If (a=2^8\times3^2\times5^2) and (b=2^5\times3^6\times5), what will be the power of (2) in their HCF?

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Answer and explanation

Correct answer: (5)

Step 1: HCF uses the smaller power of a common prime. Step 2: The powers of (2) are (8) and (5), so the smaller power is (5). Step 3: Do not add the powers; take only the smaller one.

Related tags

Real-NumbersHcfPrime-Power

Frequently asked questions

What is the correct answer to this question?

(5)

Why is this the correct answer?

Step 1: HCF uses the smaller power of a common prime. Step 2: The powers of (2) are (8) and (5), so the smaller power is (5). Step 3: Do not add the powers; take only the smaller one.

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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