There are 156, 208, 260 students in groups A, B and C respectively. Bu

1.	There are 156, 208, 260 students in groups A, B and C respectively. Buses are to be hired totake them to a deserted land near a colony, where people used to throw garbage. Thesestudents decided to develop a pond there. Find the minimum number of buses to be hired,if students of each group are accommodated separately and same number of students shouldbe accommodated in each bus.
Answer» Take H.C.F. of 156, 208 and 260. => HCF of 156 and 208 P.F. of 156 = 2×2×3×13P.F. of 208 = 2×2×2×2×13Therefore, H.C.F. of 156 and 208 = 2×2×13 = 52 => Now , H.C.F. of 52 and 260 P.F. of 52 = 2×2×13P.F. of 260 = 2×2×5×13H.C.F. = 2×2×13 = 52 ●Max. number of students per bus = 52 ●Total number of students = 156+208+260 = 624 students. ●No. of buses = 624/52 = 12 buses.

There are 156, 208, 260 students in groups A, B and C respectively. Buses are to be hired totake them to a deserted land near a colony, where people used to throw garbage. Thesestudents decided to develop a pond there. Find the minimum number of buses to be hired,if students of each group are accommodated separately and same number of students shouldbe accommodated in each bus.

Answer»

Take H.C.F. of 156, 208 and 260.

=> HCF of 156 and 208

P.F. of 156 = 2×2×3×13P.F. of 208 = 2×2×2×2×13Therefore, H.C.F. of 156 and 208 = 2×2×13 = 52

=> Now , H.C.F. of 52 and 260

P.F. of 52 = 2×2×13P.F. of 260 = 2×2×5×13H.C.F. = 2×2×13 = 52

●Max. number of students per bus = 52

●Total number of students = 156+208+260 = 624 students.

●No. of buses = 624/52 = 12 buses.