Question

3969 soldiers are to arranged in such a way that each row has as many soldiers as the number of rows. Find the number of row and number of soldiers in each row.​

Answer 1

there must be 63 rows and each row will have 63 soldiers to satisfy above mentioned condition

Answer 2

ANSWER

we have to find the HCF of 616 and 32

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.