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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationHardLevel 12
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If (a=2^3\times5\times7) and (b=2^2\times3\times5\times7^2), which prime factors will appear in their HCF?

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Answer and explanation

Correct answer: (2), (5), (7)

Step 1: HCF contains only primes present in both numbers. Step 2: (2), (5), and (7) are common, but (3) appears only in the second number. Step 3: Identify common primes before choosing powers.

Related tags

Real-NumbersHcfCommon-Primes

Frequently asked questions

What is the correct answer to this question?

(2), (5), (7)

Why is this the correct answer?

Step 1: HCF contains only primes present in both numbers. Step 2: (2), (5), and (7) are common, but (3) appears only in the second number. Step 3: Identify common primes before choosing powers.

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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