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?

NCERT Class X
Mathematics - Mathematics

Chapter _Real Numbers

Answer 1

Here your answer goes

Step :-1

The above question We can Solve with Euclid Division Algorithm

a = bq + r

Given ,

616 and 32

Clearly , 616 is greater than 32

Step :- 2

Apply Euclid Division Algorithm

616 = 32 * 19 + 8

8 ≠ 0

Remainder  is not equal to zero

Again ,  Apply Euclid Division Algorithm

32 = 8* 4 + 0

0 = 0

At this stage remainder  is equal to zero

So , as there is no remainder HCF = 8

Therefore , the maximum number of Columns in Which they can march is 8

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