3. 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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Answer: 8 columns
Explanation:
Total no. Of members in the army contingent = 616 members
Total no. Of members in the army band = 32 members
To find out the maximum no. Of columns they can March, we should find the HCF of both these numbers.
Prime Factorization
616 = 2 x 2 x 2 x 7 x 11
32 = 2 x 2 x 2 x 2
Common Factors = 2 x 2 x 2
= 8
HCF = 8
Therefore, they can March in 8 columns
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