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

Problems on H.C.F and L.C.M
252 can be expressed as a product of primes as:

2 x 2 x 3 x 3 x 7
2 x 2 x 2 x 3 x 7
2 x 3 x 3 x 3 x 7
3 x 3 x 3 x 3 x 7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Clearly, 252 = 2 x 2 x 3 x 3 x 7.

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:

126
127
128
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 H.C.F. and L.C.M. of two numbers are 12 and 5040 respectively If one of the numbers is 144, find the other number

420
180
110
360

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Product of 2 numbers = product of their HCF and LCM144 * x = 12 * 5040x = (12*5040)/144 = 420

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
35
22
52

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.

Problems on H.C.F and L.C.M
The maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is:

91
1911
1001
910

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the Greatest Number that will devide 43, 91 and 183 so as to leave the same remainder in each case

7
4
9
13

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

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