Question

There are 576 boys And 448 girls in a school that are to be divided into equal sections f either boys or girls alone. fin the total no of sections thus formed

Answer 1

firstly take H.C.F of 576 and 448 that is 64. therefore there are 64 students in one classroom

Answer 2

Explanation:

A total of “576 boys And 448 girls” in a school that has been divided into ‘equal sections’ of “either boys or girls alone” by using the “Highest Common Factor” (HCF) division method.

HCF denotes the greatest number by which two numbers are divided so as to equally part them without any remainder.  

HCF of 576: $2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3$

HCF of 448: $2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 7$

HCF = 64

To find the number of sections from the HCF:

$\frac{576}{64}=9$

$\frac{448}{64}=7$

Total = 9+7=16

So, total 16 sections with 9 boys sections and 7 girls sections.