. An army contingent of 616 members is to march behind an army band of 32 members in a parade


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?

Best Answer

In order to find the maximum number of column in which army contingent can march. We have to find the largest number that divides 616 and 32.

Clearly, such a number is the HCF.

616 = 2 × 2 × 2 × 7 × 11 = 23 × 7 × 11

32 = 2 × 2 × 2 × 2 × 2 = 25  

H.C.F. = 23 = 8

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

 

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