We are given that 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. We need to fund the maximum number of columns in which they can march.
Members in army = 616
Members in band = 32.
Therefore, Maximum number of columns = H.C.F of 616 and 32.
By applying Euclid’s division lemma
616 = 32 x 19 + 8
32 = 8 x 4 + 0.
Therefore, H.C.F. = 8
Hence, the maximum number of columns in which they can march is 8