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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationEasyLevel 12
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If (144=2^4\times3^2) and (216=2^3\times3^3), what is their HCF?

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Answer and explanation

Correct answer: (72)

Step 1: The common prime factors are (2) and (3). Step 2: The smaller powers are (2^3) and (3^2). Step 3: (8\times9=72), so the HCF is (72).

Related tags

Real-NumbersHcfGiven-Factorisation

Frequently asked questions

What is the correct answer to this question?

(72)

Why is this the correct answer?

Step 1: The common prime factors are (2) and (3). Step 2: The smaller powers are (2^3) and (3^2). Step 3: (8\times9=72), so the HCF is (72).

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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  1. 1If the product of two numbers is 3780 and their LCM is 315, what is their HCF?
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  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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