Question

An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups have to march in the same number of columns. Find the maximum number of columns in which they can march?​

Answer 1

Step-by-step explanation:

did u mean What is the maximum number of columns in which they can march? An army contingent of 616 members is to march behind an army band of 32 members in a parade. 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.

Answer 2

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HCF (616,32) is the maximum number of columns in which they can march.

Step 1: First find which integer is larger.

616>32

Step 2: Then apply the Euclid's division algorithm to 616 and 32 to obtain

616=32×19+8

Repeat the above step until you will get remainder as zero.

Step 3: Now consider the divisor 32 and the remainder 8, and apply the division lemma to get

32=8×4+0

Since the remainder is zero, we cannot proceed further.

Step 4: Hence the divisor at the last process is 8

So, the H.C.F. of 616 and 32 is 8.

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

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