10. There are 156, 208 and 260 students in groups A, B and C, respectively. Buses are to be hired to take them for a field trip. Find the minimum number of buses to be hired, if the same number of students should be accommodated in each bus.
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You should take H.C.F. of 156, 208 and 260.
=> HCF of 156 and 208
P.F. of 156 = 2×2×3×13
P.F. of 208 = 2×2×2×2×13
Therefore, H.C.F. of 156 and 208 = 2×2×13 = 52
=> Now , H.C.F. of 52 and 260
P.F. of 52 = 2×2×13
P.F. of 260 = 2×2×5×13
H.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.
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# Nikky
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You should take H.C.F. of 156, 208 and 260.
=> HCF of 156 and 208
P.F. of 156 = 2×2×3×13
P.F. of 208 = 2×2×2×2×13
Therefore, H.C.F. of 156 and 208 = 2×2×13 = 52
=> Now , H.C.F. of 52 and 260
P.F. of 52 = 2×2×13
P.F. of 260 = 2×2×5×13
H.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.
__________________________
Hope it helps u !!!
good night :))
# Nikky
VijayaLaxmiMehra1:
Good night :))
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