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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationEasyLevel 10

What will be the HCF of (45) and (75)?

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Answer and explanation

Correct answer: (15)

Step 1: (45=3^2\times5) and (75=3\times5^2). Step 2: Take the smaller powers of the common prime factors (3) and (5). Step 3: (3\times5=15), so the HCF is (15).

Tags

real-numbershcfprime-factors

Frequently asked questions

What is the correct answer to this question?

(15)

Why is this the correct answer?

Step 1: (45=3^2\times5) and (75=3\times5^2). Step 2: Take the smaller powers of the common prime factors (3) and (5). Step 3: (3\times5=15), so the HCF is (15).

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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10 more MCQs
  1. 1If the product of two numbers is 3780 and their LCM is 315, what is their HCF?
  2. 2What is the HCF of (18) and (24) using prime factorisation?
  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)?
  6. 6What will be the LCM of (45) and (75)?
  7. 7Which is the HCF of (32) and (48)?
  8. 8Which is the LCM of (32) and (48)?
  9. 9What is the HCF of (27) and (36)?
  10. 10What is the LCM of (27) and (36)?
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