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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 number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

8
6
2
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required number = H.C.F. of (91 - 43), (183 - 91) and (183 - 43)                                 = H.C.F. of 48, 92 and 140 = 4.

Problems on H.C.F and L.C.M
The L.C.M. of two numbers is 45 times their H.C.F. If one of the numbers is 125 and the sum of H.C.F. and L.C.M. is 1150, the other number is:

220
225
215
235

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The least square number which divides 8, 12 and 18 is?

144
64
121
100

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 10, then their difference is:

46
70
10
90

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find he smallest number of five digits exactly divisible by 16, 24, 36 and 54 .

10368
9368
9868
10688

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:

80
120
40
200

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

 Let the numbers be 3x, 4x and 5x.Then, their L.C.M. = 60x.So, 60x = 2400 or x = 40. The numbers are (3 x 40), (4 x 40) and (5 x 40).Hence, required H.C.F. = 40.

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

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