CBSE Class 5 Mathematics HCF and LCM Worksheet

Question. The smallest square number divisible by 10, 16 and 24 is ?
a) 900
b) 1600
c) 2500
d) 3600

Answer : D

Question. The greatest number that divides 411, 684, 821 and leaves 3, 4 and 5 as remainders, respectively, is ?
a) 254
b) 146
c) 136
d) 204

Answer : C

Question. The number between 3000 and 4000 which is exactly divisible by 30, 36 and 80 is ?
a) 3625
b) 3250
c) 3500
d) 3600

Answer : D

Question. The H.C.F. of two numbers is 96 and their L.C.M. is 1296. If one of the number is 864, the other is ?
a) 132
b) 135
c) 140
d) 144

Answer : D

Question. The smallest number, which, when divided by 12 or 10 or 8, leaves remainder 6 in each case, is ?
a) 246
b) 186
c) 126
d) 66

Answer : C

Question. Three bells ring simultaneously at 11a.m. They ring at regular intervals of 20 minutes, 30 minutes, 40 minutes respectively. The time when all the three ring together next is ?
a) 2 p.m
b) 1 p.m
c) 1.15 p.m
d) 1.30 p.m

Answer : B

Question. The smallest number, which when increased by 5 is divisible by each of 24,32, 36 and 564, is ?
a) 869
b) 859
c) 4320
d) 427

Answer : B

Question. The greatest number, by which 1657 and 2037 are divided to give remainders 6 and 5 respectively, is ?
a) 127
b) 133
c) 235
d) 305

Answer : A

Question. Find the greatest number which will exactly divide 200 and 320 ?
a) 10
b) 20
c) 16
d) 40

Answer : D

Question. Three sets of English, Mathematics and Science books containing 336, 240, 96 books respectively have to be stacked in such a way that all the books are stored subject-wise and the height of each stack is the same. Total number of stacks will be ?
a) 14
b) 21
c) 22
d) 48

Answer : A

Question. The ratio of the sum to the LCM of two natural numbers is 7 : 12. If their HCF is 4, then the smaller number is ?
a) 20
b) 16
c) 12
d) 8

Answer : C

Question. The L.C.M. of two numbers is 20 times their H.C.F. The sum of H.C.F. and L.C.M. is 2520. If one of the number is 480, the other number is ?
a) 400
b) 480
c) 520
d) 600

Answer : D

Question. Sum of two numbers is 384. H.C.F. of the numbers is 48. The difference of the numbers is ?
a) 100
b) 192
c) 288
d) 336

Answer : C

Question. Three numbers which are coprime to one another are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is ?
a) 75
b) 81
c) 85
d) 89

Answer : C

Question. The sum of two numbers is 45. Their difference is 1/9 of their sum. Their L.C.M. is ?
a) 200
b) 250
c) 100
d) 150

Answer : C

Question. The least number, which when divided by 18, 27 and 36 separately leaves remainders 5,14, and 23 respectively, is ?
a) 95
b) 113
c) 149
d) 77

Answer : A

Question. The H.C.F. of two numbers, each having three digits , is 17 and their L.C.M. is 714. The sum of the numbers will be ?
a) 289
b) 391
c) 221
d) 731

Answer : C

Question. The LCM of two numbers is 12 times their HCF. The sum of the HCF and the LCM is 403. If one of the number is 93, then the other number is ?
a) 124
b) 128
c) 134
d) 138

Answer : A

Question. The least number which when divided by 4, 6, 8 and 9 leave zero remainder in each case and when divided by 13 leaves a remainder of 7 is ?
a)144
b) 72
c) 36
d) 85

Answer : B

Question.The LCM of two numbers is 864 and their HCF is 144. If one of the number is 288, the other number is ?
a) 576
b) 1296
c) 432
d) 144

Answer : C

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