Question

An army contingent of 399 is to march behind an army band of 14 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

Answer:

Given:

An army contingent of 399  and

an army band of 14 members

To find: the maximum number of columns in which they can march

Thinking process:

  we are given the number of army people and the number of band people.Then, we have to find the maximum number of columns .Now, since the word 'maximum' is mentioned we can reach conclusion that we have to find the H.C.F of the twwo numbers .

we can use euclid's division algorithm

a= bq +r

H.C.F of 399 and 14

⇒ 399 = 14 * 28 +7

r ≠ 0 , hence proceed algorithm to 14 and 7

⇒ 14 = 7*2

r = 0 ,Hence, the H.C.F(399,14)= 7

Thus , the maximum number of columns in which they can march is 7

Answer 2

$\huge\bf\fbox\red{Answer:-}$

We can use,

Euclid's division algorithm,

a= bq + r

H.C.F of 399 and 14

→ 399 = 14 28 +7

r ≠ 0,

Hence proceed algorithm to 14 and 7,

→ 14 = 7 × 2

r = 0,

Hence,

The H.C.F (399, 14)= 7

Thus, the maximum number of columns in which they can march is 7.