. 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?
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To get the maximum number column here we always find HCF and for minimum number we find LCM
So we use Euclid’s algorithm to find the HCF.
Here 616 > 32 so always divide greater number with smaller one
When we divide 616 by 32 we get quotient 19 and remainder 8
So we can write it as
616 = 32 x 19 + 8
Now divide 32 by 8 we get quotient 4 and no remainder
So we can write it as
32 = 8 x 4 + 0
As there are no remainder so our HCF is 8
So the maximum number of columns in which they can march is 8.
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