Ex 1.1 , 3 (Introduction)
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?
Suppose 12 members will march behind 4 members
Maximum number of columns = 4
= HCF of 12 & 4
Similarly , we will do in this question
Ex 1.1 , 3
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?
Maximum number of columns = HCF of 616 and 32
Using Euclid’s division algorithm
Since 616 > 32
We divide 616 by 32
We divide 616 by 32
Since the remainder is not 0
We divide 32 by 8
Hence the HCF of 616 and 32 is 8
Therefore,
Maximum number of columns = HCF of 61 and 32
= 8

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.