there are 371,424and 477 students in different classes going to a hill station for a picnic. buses are to be hiered to take these student to picnic sitefind the maximum no. of who can site in each buss carring equal no. of students

Answer :

we know there are  371  ,  424  and 477  students in different classes .

To find maximum  number of students sit on a bus ,and each bus carrying equal number of students , for that we have to find the Highest common factor of students in different class , As :

371   =   7 $\times$  53  

424   =   2  $\times$ 2  $\times$ 2  $\times$  53 

And 

477   =  3  $\times$   3  $\times$   53 

So,

H.C.F. ( 377  ,  424   , 477  )  =   53 
SO,
In each bus there will be 53 students , As that is maximum we can sited in a bus .                  ( Ans )