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Question -

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



Answer -

Solution:

Given,

Number of army contingent members=616

Number of army band members = 32

By Using Euclid’s algorithm to find their HCF,we get,

Since, 616>32, therefore,

616 = 32 × 19 + 8

Since, 8 ≠ 0, therefore, taking 32 as newdivisor, we have,

32 = 8 × 4 + 0

Now we have got remainder as 0, therefore, HCF(616, 32) = 8.

Hence, the maximum number of columns in whichthey can march is 8.

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