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

Answer:

maximum number  of  columns   = 4

                                                           =  HCF of  12 & 4

Similarly , we will do in  this  question

maximum number  of  columns = HCF of 616 and 32

using  Euclid ,s  division algorithm

since 616≥ 32

we divide 616 by  32

32÷ 616 /  19

[-]     32  

        296

        288

[-]              

          8

since the  remainder is  not 0

we divide 32 by  8

8÷ 32  / 4

[-]   32  

         0    

hence the  HCF of 616 and  32 is 8

therefore,

Maximum number  of  columns =  HCF  of 61 and 32

                                                     =  8

Step-by-step explanation: