CBSE Class 4 Maths HCF and LCM Worksheet

Question. A milkman has 75 litres milk in one can and 45 litres in another. The maximum capacity of container which can measure milk of either container exact number of times is ?
a) 1 litre
b) 5 litres
c) 15 litres
d) 25 litres

Answer : C

Question. Two numbers are in the ratio 3 : 4. If their HCF is 4, then their LCM is ?
a) 48
b) 42
c) 36
d) 24

Answer : A

Question. The sum of two numbers is 216 and their HCF is 27. How many pairs of such numbers are there ?
a) 1
b) 2
c) 3
d) 0

Answer : B

Question. The HCF and LCM of two numbers are 13 and 455 respectively. If one of the number lies between 75 and 125, then, that number is ?
a) 78
b) 91
c) 104
d) 117

Answer : B

Question. The product of two numbers is 216. If the HCF is 6, then their LCM is ?
a) 72
b) 60
c) 48
d) 36

Answer : D

Question.Four runners started running simultaneously from a point on a circular track. They took 200 seconds, 300 seconds, 360 seconds and 450 seconds to complete one round. After how much time do they meet at the starting point for the first time ?
a) 1800 seconds
b) 3600 seconds
c) 2400 seconds
d) 4800 seconds

Answer : A

Question. The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is ?
a) 0
b) 1
c) 2
d) 3

Answer : C

Question. The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder is ?
a) 1677
b) 1683
c) 2523
d) 3363

Answer : B

Question. The product of two numbers is 4107. If the H.C.F. of the numbers is 37, the greater number is ?
a) 185
b) 111
c) 107
d) 101

Answer : B

Question. The ratio of two numbers is 3 : 4 and their HCF is 5. Their LCM is ?

a) 10
b) 60
c) 15
d) 12

Answer : B

Question. The LCM of four consecutive numbers is 60. The sum of the first two numbers is equal to the fourth number. What is the sum of four numbers ?
a) 17
b) 14
c) 21
d) 24

Answer : B

Question. The greatest number of four digits which when divided by 12, 16 and 24 leave remainders 2, 6 and 14 respectively is ?
a) 9974
b) 9970
c) 9807
d) 9998

Answer : A

Question. What is the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad ?
a) 840
b) 841
c) 820
d) 814

Answer : D

Question. The product of two 2–digit numbers is 2160 and their H.C.F. is 12. The numbers are ?
a) (12, 60)
b) (72, 30)
c) (36, 60)
d) (60, 72)

Answer : C

Question. The product of the LCM and HCF of two numbers is 24. The difference of the two numbers is 2. Find the numbers ?
a) 8 and 6
b) 8 and 10
c) 2 and 4
d) 6 and 4

Answer : D

Question. The smallest five digit number which is divisible by 12,18 and 21 is ?
a) 10224
b) 30256
c) 10080
d) 50321

Answer : C

Question. When a number is divided by 15, 20 or 35, each time the remainder is 8. Then the smallest number is ?
a) 428
b) 427
c) 328
d) 338

Answer : A

Question. The L.C.M. of three different numbers is 120. Which of the following cannot be their H.C.F. ?
a) 8
b) 12
c) 24
d) 35

Answer : C

Question. The sum of the H.C.F. and L.C.M of two numbers is 680 and the L.C.M. is 84 times the H.C.F. If one of the number is 56, the other is ?
a) 84
b) 12
c) 8
d) 96

Answer : D

Question. The number nearest to 10000, which is exactly divisible by each of 3, 4, 5, 6, 7 and 8, is ?
a) 9240
b) 9996
c) 10080
d) 10000

Answer : C

Please click on below link to download CBSE Class 4 Maths HCF and LCM Worksheet