In a seminar , the number of participants in physics , chemistery and biology are 60 , 84 , 108 respectively.find the miniuem number of rooms required if in each room the same number of participants are to be seated and all of them being in the same subject ?
Number of students of Physics = 60
Number of students of Chemistry = 84
Number of students of Biology = 108
For arranging equal number of students of same subject in one room and to keep the number of rooms minimum, we have to find out the HCF of 60, 84, 108.
HCF of 60, 84, 108 = 12
Total number of students = 60 + 84 + 108 = 252
Number of rooms required = Total number of students ÷ Number of students in each room
= 252 ÷ 12
= 21
Thus, 21 rooms are required.