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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationExpertLevel 11
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If the HCF of (162), (270), and (378) is found, what will be the power of (3) in it?

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Answer and explanation

Correct answer: (3)

Step 1: Compare the powers of (3). Step 2: (162=2\times3^4), (270=2\times3^3\times5), and (378=2\times3^3\times7), so the smallest power is (3). Step 3: HCF uses the smallest power.

Related tags

Real-NumbersHcfPrime-Power

Frequently asked questions

What is the correct answer to this question?

(3)

Why is this the correct answer?

Step 1: Compare the powers of (3). Step 2: (162=2\times3^4), (270=2\times3^3\times5), and (378=2\times3^3\times7), so the smallest power is (3). Step 3: HCF uses the smallest power.

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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  5. 5What is the LCM of (40) and (60)?
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  8. 8Which is the HCF of (32) and (48)?
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