A group of 616 students is to march behind an army band of 32 members in a parade. The two groups must march in the same number of columns. What can be the maximum number of columns in which they march?
A
3
B
8
C
12
D
4
Medium
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Solution
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Correct option is B)
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