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Home » 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?
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?
CBSE | Class 10 | Maths | NCERT | Real Numbers
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?

Given,

Number of army contingent members=616

Number of army band members = 32

When we find the HCF(616,32) then we get  maximum number of columns in which they can march.

We use Euclid’s algorithm to find their HCF

Since, 616>32 , therefore,

616=32\times 19+8

Since, 8 ≠ 0, therefore, taking 32 as new divisor, we have,

32=8\times 4+0

we have got remainder as 0,

therefore, HCF (616, 32) = 8.

maximum number of columns in which they  march is 8.

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