Question

there are 16 boys and 24 girls.if they will be grouped separately in teams with the same number,what is the biggest number of children in a group

Answer 1

Answer:

Greatest Common Factor:

The problem asked for the biggest possible number of children in a group. Given: 16 boys, 24 girls. The problem can be solved by finding the greatest common factor of 16 and 24. Answer: 8 children.

Answer 2

Given : There are 16 boys and 24 girls.

To find : If they will be grouped separately in teams with the same number, what is the biggest number of children in a group?

Solution :

We can simply solve this mathematical problem by using the following mathematical process.

Here, we just need to calculate the HCF (Highest Common Factor) of the total number of boys and the total number of girls, to get the greatest number of children in a group.

So,

HCF of 16 and 24 :

• 16 = 2×2×2×2
• 24 = 2×2×2×3
• Common factors = 2,2,2
• HCF = 2×2×2 = 8

So, the greatest number of children in a group = 8

(which implies there will be 2 groups of boys and 3 groups of girls)

Hence, the greatest number of children in a group is 8