Question

Julie is arranging 36 books and 54 magazines on a book shelf. If she puts the same amount and not mix them. What is the greatest number that she can put on each shelf? 5)

Answer 1

18

Explanation:

in this case, we need to find the HCF of 36 and 54 which is 18

this means that she can put 18 on 1 shelf

Answer 2

To determine the greatest number of books and magazines Julie can put on each shelf without mixing them, we need to find the highest common factor (HCF) of the given numbers.

The prime factorization of 36 is 2^2 * 3^2.

The prime factorization of 54 is 2 * 3^3.

To find the HCF, we take the highest power of each common prime factor. In this case, the HCF would be 2^2 * 3^2, which is 4 * 9 = 36.

Therefore, Julie can put a maximum of 36 books and 36 magazines on each shelf without mixing them.

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