In a school assembly in Chennai, students of Class A (number 24) and Class B (number 36) are to stand in rows so that each row has the same number of students and a row contains students of only one class. What is the maximum number of students that can stand in each row?

Question

Accepted Answer

12. Maximum per row = HCF(24, 36). 24 = 2^3 x 3, 36 = 2^2 x 3^2. HCF = 2^2 x 3 = 12.

In a school assembly in Chennai, students of Class A (number 24) and Class B (number 36) are to stand in rows so that each row has the same number of students and a row contains students of only one class. What is the maximum number of students that can stand in each row?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Fundamental Theorem of Arithmetic practice