# 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?

**Solution:**

Here, we have to pay attention to the point that the army band members and army contingent members have to march in the same number of columns and that the number of columns must be the maximum possible number.

The definition of HCF states - HCF is the highest number that can be divided exactly into each of two or more numbers. In other words, the HCF of two numbers is the highest number (maximum) that divides both numbers.

Thus, we have the find the HCF of the members in the army band and the army contingent.

HCF (616, 32) will give the maximum number of columns in which they can march. We use Euclid’s algorithm to find the H.C.F:

616 = (32 × 19) + 8

32 = (8 × 4) + 0

The HCF (616, 32) is 8.

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

**Video Solution:**

## 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?

### NCERT Solutions Class 10 Maths Chapter 1 Exercise 1.1 Question 3 - Chapter 1 Exercise 1.1 Question 3:

**Summary:**

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. The maximum number of columns in which they can march is 8.