An army contingent of 616 members is to march behind an army band of 56 members in a parade. Two groups are to march in the same number of columns. What is the maximum number of columns in which they can march?
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Maximum number of columns which is common to both the groups = HCF (616, 32) HCF (616, 32): 616 = (32 x 19) + 8 32 = (8 x 4) + 0 Remainder in this case is zero. ∴ HCF (616, 32) = 8 Hence, the maximum number of columns = 8.
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