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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationEasy
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What is the HCF of 24 and 36?

Answer and explanation

Correct answer: 12

Use prime factorisation to find the highest common factor. We have 24 = 2³ × 3 and 36 = 2² × 3². The common primes are 2 and 3; taking the smaller exponent of each gives HCF = 2² × 3 = 4 × 3 = 12. Although 6 divides both numbers, 12 is the greatest common factor.

Related tags

HcfPrime FactorisationReal NumbersCommon FactorsHcf And Lcm Using Prime FactorisationHcf Lcm Using Prime FactorisationChapter 1 Real NumbersMathematics
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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 HCF of (45) and (75)?
  7. 7What will be the LCM of (45) and (75)?
  8. 8Which is the HCF of (32) and (48)?
  9. 9Which is the LCM of (32) and (48)?
  10. 10What is the HCF of (27) and (36)?
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