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

Problems on H.C.F and L.C.M
14. The least number which when diminished by 7 is divisible by 21, 28, 36 and 45 is?

1261
68
1267
1265

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:

1983
1683
1183
1383

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

L.C.M. of 5, 6, 7, 8 = 840.Required number is of the form 840k + 3Least value of k for which (840k + 3) is divisible by 9 is k = 2.Required number = (840 x 2 + 3) = 1683.

Problems on H.C.F and L.C.M
The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:

35 cm
45 cm
55 cm
25 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required length = H.C.F. of 700 cm, 385 cm and 1295 cm = 35 cm.

Problems on H.C.F and L.C.M
Find the greatest number which, while dividing 19, 83 and 67, gives a remainder of 3 in each case?

18
19
17
16

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The least number of four digits which is divisible by 4, 6, 8 and 10 is?

1085
1095
1075
1080

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:

36
48
18
24

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be 3x and 4x. Then, their H.C.F. = x. So, x = 4.So, the numbers 12 and 16.L.C.M. of 12 and 16 = 48.

MORE MCQ ON Problems on H.C.F and L.C.M

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