# HCF and LCM Worksheets for Class 5 Maths

Download free pdf of HCF and LCM Worksheets for Class 5 Maths. Students can easily get all the Class 5 Maths Worksheets and Exercises in Free Printable ( PDF Format) as per the latest syllabus and examination pattern in CBSE and NCERT pattern. Below you will find all the HCF and LCM related sums that are asked in 3rd Grade Mathematics Exams Across Indian Schools.

## H.C.F and L.C.M Worksheets for Class 5 in PDF

### H.C.F and L.C.M Worksheets for Class 5 ( Solved And Unsolved)

Q.1 Find the HCF by finding all the factors:

a) 24, 32, 56
b) 36, 48, 96
c) 31, 37, 33
d) 99, 33

SOLUTION:

a)
Factors of 24 are = 1, 2, 3, 4, 6, 8, 12, 24
Factors of 32 are = 1, 2, 4, 8, 16, 32
Factors of 56 are = 1, 2, 4, 7, 8, 14, 28, 56
Common factors are = 1, 2, 4, 8
HCF = 8
ANSWER : HCF of 24, 32, and 56 is 8

b)
Factors of 36 are = 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 48 are = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 96 are = 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Common factors are= 1, 2, 3, 4, 6, 12
HCF = 12
ANSWER: The HCF of 36, 48 and 96 is 12

c)
Factors of 31 are = 1, 31
Factors of 37 are = 1, 37
Factors of 33 are = 1, 3, 11, 33
Common Factor = 1
HCF = 1
ANSWER: The HCF of 31, 37 and 33 is 1

d)
Factors of 99 are = 1, 3, 9, 11, 33, 99
Factors of 33 are = 1, 3, 11, 33
Common Factors are = 1, 3, 11, 33
HCF = 33
ANSWER: The HCF of 99 and 33 is 33

Q.2 Find the HCF by the prime factorization method.

a) 27, 30
b) 12, 25, 36
c) 14, 35, 49

Solutions

a) 27 = 3 X 9 = 3 X 3 X 3
30 = 2 X 15= 2 X 3 X 5
HCF = 3
Answer: The HCF of 27, 30 is 3

b) 12 = 2 X 6 = 2 X 2 X 3 X 1
25 = 5 X 5 X 1
36 = 2 X 18 = 2 X 2 X 9 = 2 X 2 X 3 X 3 X 1
HCF = 1
ANS : The HCF of 12, 25, 36 is 1

c) 14 = 2 X 7
35 = 5 X 7
49 = 7 X 7
HCF = 7
ANS: The HCF of 14, 35, 49 is 7

Q.3 Find the HCF by the long division method

a) 48, 68
b) 98, 78
c) 65, 135

a) The HCF of 46 and 68 is 4
b) The HCF of 98 and 78 is 2
c) The HCF of 65 and 135 is 5

Q.4 Find the L.C.M. of the following:
(a) 54, 60 and 90
(b) 34, 21 and 14
(c) 34, 119 and 196

Q.5 Find the L.C.M. of 20, 32 and 40.

Q.6 Find the L.C.M. of 24 and 30.

Q.7 Find the L.C.M. of
(a) 15 and 20
(b) 24 and 3
(c) 48 and 72
(d) 30 and 45
(e) 18 and 54
(f) 30 and 42

Q.8 Find the greatest number which divides 304 to leave a remainder of 4 and which also divides 298 to leave a remainder of 4.

Q.9 A cinema runs its movies in two different halls 24/7. One movie runs for 80 minutes and the second one runs for 120 minutes. Both movies start at 1.00 p.m. When will the movies begin again at the same time?

Q.10 Which of the following are multiples of 8?
72, 98, 104, 120, 164

Q.11 Ring all the multiples of 15 from the numbers below:
65, 45, 35, 75, 55, 95, 105

Q.12 Find the HCF of the following numbers :
(a) 18, 48         (b) 30, 42         (c) 18, 60         (d) 27, 63
(e) 36, 84         (f) 34, 102         (g) 70, 105, 175
(h) 91, 112, 49         (i) 18, 54, 81         (j) 12, 45, 75

Q.13 What is the HCF of two consecutive
(a) numbers? (b) even numbers? (c) odd numbers?

Q.14 Find the smallest number which when divided by 15 and 24 leaves a remainder of 13.

Q.15 The chairs in a hall can be arranged in rows of 48 and 60.Find the least number of chairs in the hall.

Q.16 Kamal has 6 cans of regular Coke and 15 cans of Diet Coke. He wants to create some identical refreshment tables that will operate during the Delhi football game. He also doesn’t want to have any Coke left over. What is the greatest number of refreshment tables that Kamal can stock?

Q.17 At a family reunion, each of Sana’s aunts and uncles is getting photographed once. The aunts are taking pictures in groups of 5 and the uncles are taking pictures in groups of 10. If Sana has the same total number of aunts and uncles, what is the minimum number of aunts that Sana must have?

Q.18 Ram and Sham are shelving books at a public library. Ram shelves 5 books at a time, whereas Sham shelves 6 at a time. If they end up shelving the same number of books, what is the smallest number of books each could have shelved

Q.19 For a dinner party, Abraham is creating individual servings of starters. He has 9 carrot sticks and 18 cucumber sticks. If he wants each serving to be identical, with no food left over, what is the greatest number of servings Abraham can create?