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Subjects
Class 10MathematicsReal NumbersHCF and LCM using prime factorisationEasyLevel 10
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Which value is the HCF of (54) and (81)?

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Answer and explanation

Correct answer: (27)

Step 1: (54=2\times3^3) and (81=3^4). Step 2: The common prime factor is (3), and the smaller power is (3^3). Step 3: (3^3=27), so the HCF is (27).

Related tags

Real-NumbersHcfPrime-Powers

Frequently asked questions

What is the correct answer to this question?

(27)

Why is this the correct answer?

Step 1: (54=2\times3^3) and (81=3^4). Step 2: The common prime factor is (3), and the smaller power is (3^3). Step 3: (3^3=27), so the HCF is (27).

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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  3. 3What is the LCM of (18) and (24) using prime factorisation?
  4. 4What is the HCF of (40) and (60)?
  5. 5What is the LCM of (40) and (60)?
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  7. 7What will be the LCM of (45) and (75)?
  8. 8Which is the HCF of (32) and (48)?
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