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Class 10
Mathematics
Real Numbers
an army contingent of 616 members is to march behi...

Question:
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?

Answer:

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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Question:
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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Question: 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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Question:
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?