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Subjects
Class 10MathematicsReal NumbersHCF and LCM using prime factorisationHard
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If the HCF of two numbers is (21) and their LCM is (462), which pair is possible?

Answer and explanation

Correct answer: (42) and (231)

Step 1: (42=21\times2) and (231=21\times11). Step 2: Since (2) and (11) are coprime, HCF is (21) and LCM is (21\times2\times11=462). Step 3: Factor out the HCF and check whether the remaining numbers are coprime.

Related tags

Real-NumbersPair-SelectionHcf-LcmHcf And Lcm Using Prime FactorisationHcf Lcm Using Prime FactorisationReal NumbersMathematicsClass 10 Mcq
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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)?
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