## 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 sa

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?

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2 years 2021-07-19T03:05:41+00:00 2 Answers 0 views 0

Step-by-step explanation:

Hence, the maximum number of columns in which they can march is 8

Step-by-step explanation:

## Given:–

Number of member in an army = 616

Number of members in band = 32

## To find out:–

The maximum number of columns in which they can march

## Solution:–

The maximum number of columns in which they can march = HCF (32, 616)

So can use Euclid’s algorithm to find the HCF

[By applying Division lemma, a = bq + r]

Since 616 > 32, applying Euclid’s Division Algorithm we have

616 = 32 * 19 + 8

Since remainder ≠ 0

we again apply Euclid’s Division Algorithm

Since 32 > 8

32 = 8 * 4 + 0

Since remainder = 0 we conclude, 8 is the HCF of 616 and 32.

The maximum number of columns in which they can march is 8

🙂