In a school ,108,162 and 270 students of classes 6,7 and 8 , respectively , are going for a picnic. If each bus has to carry largest but equal number of student from each class, find out the number of buses required. ?

There are 108, 162 and 270 students in class sixth, seventh and eighth repectively.Now, as each bus has to carry largest and equal number of students from each class.To find out the number of buses required, we will find the  maximum but equal number of students in each bus, by finding the HCF of108, 162, 270.Calculation of HCF:2  108,162,2703  54,81,1353  18,27,453  6,9,15    2,3,5 Therefore the HCF of 108,162,270 is2×3×3×3=54Thus, each bus will carry 54 students.Number of buses required will betotal number of studentsnumber of students in each bus=108+162+27054=54054=10.Hence, the number of buses required  is 10.

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