Question

In a seminar number of participants in Hindi,  English and Mathematics are 60, 84 and 108 respectively. If the equal number of participants of the same subject are sitting in each room, then find the least number of required rooms.

Answer 1

Since the least numbers of a room are required.

So, number of participants in each room must be the H.C.F. of 60, 84, and 108.

60 = 2² × 3 × 5

84 = 2² × 3 × 7

and 108 = 2² × 3³

HCF of 60, 84 and 108 = 2² × 3 = 4 × 3 = 12

Therefore, in each room 12 participants can be seated