The total numbers of sections are 16.
Step-by-step explanation:
Given:
Number of boys in school = 576
Number of girls in school = 448
To find: Total Number of sections such that each section has either boys or girls.
Height Common Factor ( HCF ) of both number gives the number of students in a section.
HCF of 576 and 448
576 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3
448 = 2 × 2 × 2 × 2 × 2 × 2 × 7
HCF = 2 × 2 × 2 × 2 × 2 × 2 = 64
Number of sections of Boys = 576/64 = 9
Number of sections of girls 448/64 = 7
Total Number of sections = 9 + 7 = 16
Therefore, The total numbers of sections are 16.
