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

Problems on H.C.F and L.C.M
The H.C.F. of 4 x 27 x 3125, 8 x 9 x 25 x 7 & 16 x 81 x 5 x 11 x 49 is

360
540
180
1260

ANSWER DOWNLOAD EXAMIANS APP

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

2683
1683
3683
4683

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

L.C.M. of 5,6,7,8 = 840.    Required number is of the form 840k + 3     Least 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
Two numbers are in the ratio of 15:11. If their H.C.F. is 13, find the numbers.

395, 343
295, 243
195, 143
95, 43

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the required numbers be 15.x and 11x.Then, their H.C.F. is x. So, x = 13.The numbers are (15 x 13 and 11 x 13) i.e., 195 and 143.

Problems on H.C.F and L.C.M
Find the lowest common multiple of 24, 36 and 40.

480
120
240
360

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

 2 | 24 - 36 - 40 -------------------- 2 | 12 - 18 - 20 -------------------- 2 | 6 - 9 - 10 ------------------- 3 | 3 - 9 - 5 ------------------- | 1 - 3 - 5 L.C.M. = 2 x 2 x 2 x 3 x 3 x 5 = 360.

Problems on H.C.F and L.C.M
Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively

133
129
131
127

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

In this type of question, its obvious we need to calculate the HCF, trick isHCF of (1661 - 10) and (2045 -13)= HCF (1651, 2032) = 127

Problems on H.C.F and L.C.M
Find the largest number which divides 62, 132 and 237 to leave the same remainder in each case.

48
52
35
22

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required number =  H.C.F. of (132 - 62), (237 - 132) and (237 - 62)                                      =  H.C.F. of 70, 105 and 175 = 35.

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

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