CBSE Class 4 Maths HCF And LCM Worksheet

Question. The LCM of two numbers is 30 and their HCF is 5. One of the number is 10. The other is ?
a) 20
b) 25
c) 15
d) 5

Answer : C

Question. L.C.M. of two numbers is 120 and their H.C.F. is 10. Which of the following can be the sum of those two numbers ?
a) 140
b) 80
c) 60
d) 70

Answer : D

Question.What least number must be subtracted from 1936 so that the resulting number when divided by 9, 10 and 15 will leave in each case the same remainder 7 ?
a) 37
b) 36
c) 39
d) 30

Answer : C

Question. Two pipes of length 1.5 m and 1.2 m are to be cut into equal pieces without leaving any extra length of pipes. The greatest length of the pipe pieces of same size which can be cut from these two lengths will be ?
a) 0.13 metre
b) 0.4 metre
c) 0.3 metre
d) 0.41 metre

Answer : C

Question. The LCM of two numbers is 495 and their HCF is 5. If the sum of the numbers is 100, then their difference is ?
a) 10
b) 46
c) 70
d) 90

Answer : A

Question. The number between 4000 and 5000 that is divisible by each of 12, 18, 21 and 32 is ?
a) 4023
b) 4032
c) 4302
d) 4203

Answer : B

Question. Find the least number which when divided separately by 15, 20, 36 and 48 leaves 3 as remainder in each case ?
a) 183
b) 243
c) 483
d) 723

Answer : D

Question. The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32 and 35, is ?|
a) 1120
b) 4714
c) 5200
d) 5600

Answer : B

Question.The HCF of two numbers is 16 and their LCM is 160. If one of the number is 32, then the other number is ?
a) 48
b)80
c) 96
d) 112

Answer : B

Question.The least multiple of 7, which leaves the remainder 4, when divided by any of 6, 9, 15 and 18, is ?
a) 76
b) 94
c) 184
d) 364

Answer : D

Question. Let the least number of six digits which when divided by 4, 6, 10, 15 leaves in each case same remainder 2 be N. The sum of digits in N is ?
a) 3
b) 5
c) 4
d) 6

Answer : B

Question. What is the smallest number which leaves remainder 3 when divided by any of the numbers 5, 6 or 8 but leaves no remainder when it is divided by 9 ?
a) 123
b) 603
c) 723
d) 243

Answer : D

Question. The HCF and product of two numbers are 15 and 6300 respectively. The number of possible pairs of the numbers is ?
a) 4
b) 3
c) 2
d) 1

Answer : C

Question. The product of two numbers is 2160 and their HCF is 12. Number of such possible pairs is ?
a) 1
b) 2
c) 3
d) 4

Answer : B

Question. The LCM of two numbers is 44 times of their HCF. The sum of the LCM and HCF is 1125. If one number is 25, then the other number is ?
a) 1100
b) 975
c) 900
d) 800

Answer : A

Question. The smallest number, which when divided by 12 and 16 leaves remainder 5 and 9 respectively, is ?
a) 55
b) 41
c) 39
d) 29

Answer : B

Question. Two numbers are in the ratio 3 : 4. Their L.C.M. is 84. The greater number is ?
a) 21
b) 24
c) 28
d) 84

Answer : C

Question. HCF and LCM of two numbers are 7 and 140 respectively. If the numbers are between 20 and 45, the sum of the numbers is ?
a) 70
b) 77
c) 63
d) 56

Answer : C

Question. What is the greatest number that will divide 307 and 330 leaving remainders 3 and 7 respectively ?
a) 19
b) 16
c) 17
d) 23

Answer : A

Question. LCM of two numbers is 2079 and their HCF is 27. If one of the number is 189, the other number is ?
a) 297
b) 584
c) 189
d) 216

Answer : A

Question.The smallest perfect square divisible by each of 6, 12 and 18 is ?
a) 196
b) 144
c) 108
d) 36

Answer : D

Question. The LCM of two numbers is 4 times their HCF. The sum of LCM and HCF is 125. If one of the number is 100, then the other number is ?
a) 5
b) 25
c) 100
d) 125

Answer : B

Question. The least number, which is a perfect square and is divisible by each of the numbers 16, 20 and 24, is ?
a) 1600
b) 3600
c) 6400
d) 14400

Answer : B

Question. The LCM of two numbers is 520 and their HCF is 4. If one of the number is 52, then the other number is ?
a) 40
b) 42
c) 50
d) 52

Answer : A

Question. Find the least multiple of 23, which when divided by 18, 21 and 24 leaves the remainder 7, 10 and 13 respectively ?
a) 3013
b) 3024
c) 3002
d) 3036

Answer : A
 

Q.1 Fill in the blanks.

(1) The HCF of two or more numbers is the ................ numbers without leaving any remainder.

(2) If HCF of two numbers is 1 they are called ................ number that divides all numbers.

(3) The HCF of 3 and 7 is .................

(4) The LCM is the ................ of the common multiples of two or more numbers.

(5) LCM = Product of ................ factors ´ Product of factors that are not common.

(6) The LCM of 2 and 10 is .................

(7) The LCM of 6 and 8 is .................

(8) The HCF of 2 and 4 is ................ and LCM of 2 and 4 is .................

Q-2 Find HCF of the following pairs of numbers. 

(1) 98 and 126      (3) 18 and 36      (5) 95 and 105
(2) 5 and 9            (4) 21 and 27      (6) 198 and 180

Q.3 Find LCM of the following numbers by prime factorisation.
(1) 42 and 52          (3) 200 and 280      (5) 122 and 260
(2) 120 and 180      (4) 48 and 56          (6) 71 and 13

Q.4 If 153 is a multiple of 17, is 17 a factor of 153 ?

Q.5 If 13 is a factor of 39, is 13 a multiple of 39 ?

Q.6 If 17 is a factor of 51, is 17 a multiple of 51 ?

Q.7 If 351 is a multiple of 39, is 39 a factor of 351 ?
 

Please refer to attached file for CBSE Class 4 Maths HCF And LCM Worksheet