Find The Maximum Number Of The Girl Whom 2923 Bags And 3239 Books Can We Distributed Is Such A Way That Each Girl Gets The The Same Number Of Bags And Books


Given: 2923 bags and 3239 books.

To find: We have to find the way in which these books and bags can be distributed to the girls such that each girl gets the same number of bags and books.

Solution: 

To find the maximum number of girls we need to calculate the HCF of 2923 and 3239.

So,

Calculating HCF of 2923 and 3239:

  • The prime factors of 2923 are: 37, 79
  • The prime factors of 3239 are: 41, 79

Common prime factors: 79

Product of all common prime factors = 79

HCF of 2923 and 3239 is: 79

So, the maximum number of the girls are 79.

Updated on: 10-Oct-2022

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