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 1

Heya friend !

Here's your answer

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No . of members in army contingent = 616

No. of members in an army bond = 32

Find the maximum number of columns they can march =?

HCF of 616, 32

After finding HCF of both the numbers , you will get the answer .

that is 8.

# Hope it helps #

Answer 2

$\huge \underline \mathbb {SOLUTION:-}$

Given:

Number of army contingent members = 616

Number of army band members = 32

If the two groups have to march in the same column, we have to find out the highest common factor between the two groups. HCF(616, 32), gives the maximum number of columns in which they can march.

By Using Euclid’s algorithm to find their HCF, we get,

Since, 616>32, therefore,

616 = 32 × 19 + 8

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

32 = 8 × 4 + 0

Now we have got remainder as 0, therefore, HCF (616, 32) = 8.

• Hence, the maximum number of columns in which they can march is 8.