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

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

34
12
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

11720
10720
9720
8720

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
Find the least multiple of 23, which when divided by 18, 21 and 24 leaves remainders 7, 10 and 13 respestively.

3024
3002
3013
3036

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the HCF of 54, 288, 360

16
18
19
17

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Lets solve this question by factorization method.18=2×3²,288=2×2×2×2×2×3²,360=2³×3²×5So HCF will be minimum term present in all three, i.e.2×3²=18

Problems on H.C.F and L.C.M
The H.C.F. of two numbers is 11 and their L.C.M. is 693. If one of the numbers is 77,find the other.

109
79
99
89

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Other number = 11 X 693   = 99                              77                            

Problems on H.C.F and L.C.M
The least number,which when divided by 48,60,72,108 and 140 leaves 38,50,62,98 and 130 as remainder respectively, is :

15210
11115
15110
15120

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

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