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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationHard
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A class has (84) pencils and (126) erasers. They are to be divided into the maximum number of identical packets. How many packets can be made?

Answer and explanation

Correct answer: (42)

Step 1: The maximum number of identical packets is found using HCF. Step 2: (84=2^2\times3\times7) and (126=2\times3^2\times7), so HCF (=2\times3\times7=42). Step 3: For maximum equal distribution, use HCF.

Related tags

Real-NumbersHcfDistributionHcf 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?
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  5. 5What is the LCM of (40) and (60)?
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