Question

An army contingent of 616 members is to March behind an army band of 32 members in parade the two group are to March in same number of columns in which they can march​ ?​​

Answer 1

Answer:

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.

Answer 2

Answer:

Find the average of 616 and 32 and that will be the answer and the HCF of 616 and 32 is 8 so 8 is the answer