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?

Answer 1

Answer:https://brainly.in/question/40248218

Step-by-step explanation:

Answer 2

Answer:

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

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