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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationExpertLevel 10
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If (H) is the HCF of (99), (165), and (231), what is the value of (H)?

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Answer and explanation

Correct answer: (33)

Step 1: (99=3^2\times11), (165=3\times5\times11), and (231=3\times7\times11). Step 2: The common smaller powers are (3) and (11), so HCF (=33). Step 3: Choose only primes present in all three numbers.

Related tags

Real-NumbersHcfThree-Numbers

Frequently asked questions

What is the correct answer to this question?

(33)

Why is this the correct answer?

Step 1: (99=3^2\times11), (165=3\times5\times11), and (231=3\times7\times11). Step 2: The common smaller powers are (3) and (11), so HCF (=33). Step 3: Choose only primes present in all three 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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