Question

Refer to the attachment ❤️✨​

Answer 1

Question:

An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march?

Solution:

Maximum number of columns in which members of both army contingent can march is the HCF of 616 and 32.

» LCM of 616 = 2 × 2 × 2 × 7 × 11

HCF of 616 = 2

» LCM of 32 = 2 × 2 × 2 × 2 × 2

HCF of 32 = 2 × 2 = 4

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HCF of both 616 and 32 is

=> 2 × 4

=> 8

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The maximum number of columns in which members of both the contingent can march is 8

________ [ ANSWER ]

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Answer 2

Answer:-

✍First let us find the L.C.M of 32

i.e 2 × 2 × 2 × 2 × 2

✍L.C.M of 616

i.e 2 × 2 × 2 × 7 × 11

✍HCF of 32

i.e 2 × 2 = 4

✍HCF of 616

i.e 2

➡️Now, let us find the HCF of 32 amd 616 :-

2 × 4 = 8

Hence, the required answer is 8 columns.

Hope this helps you ___!!