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Problems on H.C.F and L.C.M

Problems on H.C.F and L.C.M
Find the greatest possible length which can be used to measure exactly the length 4 m 95 cm . , 9 m and 16 m 65 cm.

35 cm
55 cm.
42 cm.
45 cm.

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:

364
1045
777
1745

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

L.C.M. of 6, 9, 15 and 18 is 90.Let required number be 90k + 4, which is multiple of 7.Least value of k for which (90k + 4) is divisible by 7 is k = 4.Required number = (90 x 4) + 4 = 364.

Problems on H.C.F and L.C.M
Which of the following has the most number of divisors?

99
101
182
176

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Option A, 176 = 1 x 2 x 2 x 2 x 2 x 11.Option B, 182 = 1 x 2 x 7 x 13. Option C, 99 = 1 x 3 x 3 x 11. Option D, 101 = 1 x 101.Divisors of 99 are 1, 3, 9, 11, 33, 99.Divisors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88 and 176. Divisors of 182 are 1, 2, 7, 13, 14, 26, 91 and 182.Hence, 176 have the most number of divisors.

Problems on H.C.F and L.C.M
Reduce 4128/4386 to its lowest terms

14/13
16/17
13/18
13/17

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the highest common factor of 36 and 84.

34
22
16
12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

36 = 2² x 3²84 = 2² x 3 x 7H.C.F. = 2² x 3 = 12.

Problems on H.C.F and L.C.M
Find the least multiple of 13 which when divided by 6, 8 and 12 leaves 5, 7 and 11 as remainders respectively?

260
221
143
169

ANSWER DOWNLOAD EXAMIANS APP
MORE MCQ ON Problems on H.C.F and L.C.M

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