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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationHardLevel 10
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What is the greatest number that can exactly divide (168), (252), and (420)?

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Answer and explanation

Correct answer: (84)

Step 1: The greatest common divisor is the HCF. Step 2: (168=2^3\times3\times7), (252=2^2\times3^2\times7), and (420=2^2\times3\times5\times7), so HCF (=2^2\times3\times7=84). Step 3: Use only primes common to all numbers.

Related tags

Real-NumbersHcfCommon-Divisor

Frequently asked questions

What is the correct answer to this question?

(84)

Why is this the correct answer?

Step 1: The greatest common divisor is the HCF. Step 2: (168=2^3\times3\times7), (252=2^2\times3^2\times7), and (420=2^2\times3\times5\times7), so HCF (=2^2\times3\times7=84). Step 3: Use only primes common to all numbers.

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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