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?
Total no. of army contingent members = 616
No. of army band members = 32
To find max. numbers of the same columns in which the both groups march. We have to find it.
Their highest common factor. since, 616 > 32 then, by Euclid’s algorithm
616 = 32 × 19 + 8 (i)
Here 8 ≠ 0 then by again using Euclid algorithm
32 = 8 × 4 + 0 (ii)
Here, r =0 so we cannot proceed further. The divisor at this Stage is 8.
So the no. of columns is 8.
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