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

Problems on H.C.F and L.C.M
Find the H.C.F of 12, 16, 18 and 24?

1
2
4
3

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The least number which should be added to 2497 so that sum is divisible by 5, 6, 4, 3?

27
21
25
23

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

LCM of 5,6,4,3 is 60.On dividing 2497 by 60 we get 37 as remainder.Therefore number to be added is 60 - 37 =23.

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

12
34
16
22

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 largest number of four digits which is exactly divisible by 27,18,12,15

10720
8720
11720
9720

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

LCM of 27-18-12-15 is 540.After dividing 9999 by 540 we get 279 remainder.So answer will be 9999-279 = 9720

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
18
48
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.

Problems on H.C.F and L.C.M
The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:

10
30
40
20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be 2x and 3x.Then, their L.C.M. = 6x.So, 6x = 48 or x = 8The numbers are 16 and 24.Hence, required sum = (16 + 24) = 40.

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

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