# Q3  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?

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

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

$616=32\times 19+8$

Since remainder $\neq$ 0 we again apply Euclid's Division Algorithm

Since 32 > 8

$32=8\times 4+0$

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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