Question

There are 715 boys and 871 girls. The students
are to be arranged in groups so that each group
has same number of boys or girls. Find the
greatest number possible in each group. ( HCF)​

Answer 1

Solution :

the required number is the HCF of 715 boys and 871 girls

by long division method we have

_____

715) 871 ( 1

- 715

⠀ ___ _____

156 ) 715 ( 4

⠀⠀⠀⠀ - 624

⠀⠀⠀⠀___ _____

⠀⠀⠀⠀⠀91 ) 156 ( 1

⠀⠀⠀⠀⠀⠀⠀- 91

⠀⠀⠀⠀⠀⠀ ___ _____

⠀⠀⠀⠀⠀⠀⠀65 ) 91 ( 1

⠀⠀⠀⠀⠀⠀⠀⠀⠀ - 65

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀__ ____

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀26 ) 65 ( 2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀- 52

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀___ ___

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 13) 26 ( 2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ - 26

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠀ __

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀00

HCF of 715 and 871 is 13

hence the greatest number of students in each group is 13

➸ no. of group = 715/13 + 871/13

➸ 55 + 67

➸ 122

Answer 2

Answer:

answer is122

Explanation:

hope it will help you