There are 576 boys and 448 girls in a school that are to be divided into equal sections of either boys or girls alone. Find the total number of sections thus formed.
A)32
B)64
C)128
D)192

Question

Quizplus · Accepted Answer

The size of each section is to be selected in such a way, it divides both 576 and 488 exactly. So you have to find HCF of 576 boys and 448 girls. It is 64
576 = 2 x 2 x2 x 2x2x 2x 3x 3
448 = 2 x 2 x2 x 2x2x 2x 7
Highest Common Factors = 2 x 2 x2 x 2x2x 2 = 64
Key takeaway: The Highest Common Factor (HCF) is the largest positive integer that divides all the given numbers. Hence the HCF is the biggest size for forming groups.

There Are 576 Boys and 448 Girls in a School