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?

Answer 1

Answer:

Step-by-step explanation:

Maximum number of columns= HCF of 616 and32

616=2x2x2x7x11

32=2x2x2x2x2

HCF=2x2x2=8

Therefore the maximum number of columns in which they can March is 8 columns

Answer 2

Let a = 616 , b = 32

By Euclid's Division lemma

a = bq+r

616 = 32 × 19 + 8

32 = 8 × 4 + 0

H.C.F = 8

So, number of rows in which they can march is 8 rows