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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.

12
34
22
16

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
The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:

128
127
126
125

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required number = H.C.F. of (1657 - 6) and (2037 - 5)= H.C.F. of 1651 and 2032 = 127.

Problems on H.C.F and L.C.M
The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:

268
689
1015
432

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required number = (L.C.M. of 12,16, 18, 21, 28) + 7= 1008 + 7= 1015

Problems on H.C.F and L.C.M
The greatest number of four digits that have 144 for their HCF is?

9936
9935
9930
9903

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The HCF of 2 numbers is 11 and LCM is 693.If one of numbers is 77.find the other number ?

100
98
99
97

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Product of two numbers= HCF x  LCM                        77 x a = 11 x 693Other number a  = (11×693)/77 = 99.

Problems on H.C.F and L.C.M
The H.C.F and L.C.M of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1 : 4 , then the larger of the two numbers is

12
84
48
108

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

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