HCF Worksheet for Class 5

HCF Worksheet for Class 5

HCF Worksheet for Class 5

Highest Common Factor (HCF) Practice Worksheet

Name: _________________________
Class: 5
Roll No.: _____________________
Date: _________________________

Total Marks: 100

What is HCF?

The Highest Common Factor (HCF) is the greatest number that divides two or more numbers exactly without leaving any remainder.

Example:
Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 18 = 1, 2, 3, 6, 9, 18
HCF = 6

Section A: Find the HCF (20 Marks)

Find the HCF of the following numbers.

  1. 12 and 18 = _______
  2. 24 and 36 = _______
  3. 16 and 20 = _______
  4. 15 and 25 = _______
  5. 18 and 27 = _______
  6. 30 and 45 = _______
  7. 42 and 56 = _______
  8. 21 and 35 = _______
  9. 32 and 48 = _______
  10. 40 and 60 = _______

Section B: Find the HCF of Three Numbers (15 Marks)

  1. 12, 18 and 24 = _______
  2. 15, 30 and 45 = _______
  3. 8, 16 and 24 = _______
  4. 20, 30 and 50 = _______
  5. 14, 28 and 42 = _______

Section C: List the Factors and Find the HCF (15 Marks)

Example:

Factors of 12 = ______________________
Factors of 18 = ______________________
HCF = ______________________

  1. 10 and 15

Factors of 10 = ______________________
Factors of 15 = ______________________
HCF = ______________________

  1. 18 and 24

Factors of 18 = ______________________
Factors of 24 = ______________________
HCF = ______________________

  1. 21 and 28

Factors of 21 = ______________________
Factors of 28 = ______________________
HCF = ______________________

Section D: Fill in the Blanks (10 Marks)

  1. The HCF of 9 and 18 is _______.
  2. The HCF of 14 and 21 is _______.
  3. The HCF of 20 and 30 is _______.
  4. The HCF of 8 and 12 is _______.
  5. The HCF of 25 and 50 is _______.
  6. The HCF of 27 and 36 is _______.
  7. The HCF of 49 and 56 is _______.
  8. The HCF of 16 and 40 is _______.
  9. The HCF of 33 and 44 is _______.
  10. The HCF of 45 and 60 is _______.

Section E: Multiple Choice Questions (10 Marks)

  1. What is the HCF of 8 and 12?
    • a) 2
    • b) 3
    • c) 4
    • d) 6
  2. What is the HCF of 15 and 20?
    • a) 5
    • b) 10
    • c) 15
    • d) 20
  3. What is the HCF of 24 and 30?
    • a) 3
    • b) 6
    • c) 12
    • d) 24
  4. What is the HCF of 14 and 35?
    • a) 5
    • b) 6
    • c) 7
    • d) 14
  5. What is the HCF of 18 and 24?
    • a) 3
    • b) 4
    • c) 6
    • d) 12

Section F: Word Problems (20 Marks)

  1. A teacher has 24 red pencils and 36 blue pencils. She wants to divide them into equal groups with no pencils left over. What is the greatest number of groups she can make?

Answer: ______________________

  1. There are 18 apples and 30 oranges. They are to be packed into identical baskets with the same number of each fruit in every basket. What is the maximum number of baskets that can be made?

Answer: ______________________

  1. Two ropes are 20 m and 30 m long. They need to be cut into equal pieces of the greatest possible length. What will be the length of each piece?

Answer: ______________________

  1. A shopkeeper has 42 chocolates and 56 candies. He wants to make gift packs with the same number of chocolates and candies in each pack. What is the maximum number of gift packs he can make?

Answer: ______________________

Section G: Challenge Questions (10 Marks)

  1. Find the HCF of 48 and 72. _______
  2. Find the HCF of 60, 90 and 120. _______
  3. Find the HCF of 84 and 126. _______
  4. Find the HCF of 54, 72 and 90. _______
  5. Find the HCF of 96 and 144. _______

Answer Key – HCF Worksheet for Class 5

Section A: Find the HCF (20 Marks)

  1. HCF of 12 and 18 = 6
  2. HCF of 24 and 36 = 12
  3. HCF of 16 and 20 = 4
  4. HCF of 15 and 25 = 5
  5. HCF of 18 and 27 = 9
  6. HCF of 30 and 45 = 15
  7. HCF of 42 and 56 = 14
  8. HCF of 21 and 35 = 7
  9. HCF of 32 and 48 = 16
  10. HCF of 40 and 60 = 20

Section B: Find the HCF of Three Numbers (15 Marks)

  1. HCF of 12, 18 and 24 = 6
  2. HCF of 15, 30 and 45 = 15
  3. HCF of 8, 16 and 24 = 8
  4. HCF of 20, 30 and 50 = 10
  5. HCF of 14, 28 and 42 = 14

Section C: List the Factors and Find the HCF (15 Marks)

Example

Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 18 = 1, 2, 3, 6, 9, 18
HCF = 6

1. 10 and 15

Factors of 10 = 1, 2, 5, 10
Factors of 15 = 1, 3, 5, 15
HCF = 5

2. 18 and 24

Factors of 18 = 1, 2, 3, 6, 9, 18
Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24
HCF = 6

3. 21 and 28

Factors of 21 = 1, 3, 7, 21
Factors of 28 = 1, 2, 4, 7, 14, 28
HCF = 7

Section D: Fill in the Blanks (10 Marks)

  1. 9 and 18 = 9
  2. 14 and 21 = 7
  3. 20 and 30 = 10
  4. 8 and 12 = 4
  5. 25 and 50 = 25
  6. 27 and 36 = 9
  7. 49 and 56 = 7
  8. 16 and 40 = 8
  9. 33 and 44 = 11
  10. 45 and 60 = 15

Section E: Multiple Choice Questions (10 Marks)

  1. HCF of 8 and 12 = (c) 4
  2. HCF of 15 and 20 = (a) 5
  3. HCF of 24 and 30 = (b) 6
  4. HCF of 14 and 35 = (c) 7
  5. HCF of 18 and 24 = (c) 6

Section F: Word Problems (20 Marks)

1.

24 red pencils and 36 blue pencils

HCF (24, 36) = 12

Answer: 12 groups

2.

18 apples and 30 oranges

HCF (18, 30) = 6

Answer: 6 baskets

3.

Ropes of 20 m and 30 m

HCF (20, 30) = 10

Answer: 10 metres

4.

42 chocolates and 56 candies

HCF (42, 56) = 14

Answer: 14 gift packs

Section G: Challenge Questions (10 Marks)

  1. HCF of 48 and 72 = 24
  2. HCF of 60, 90 and 120 = 30
  3. HCF of 84 and 126 = 42
  4. HCF of 54, 72 and 90 = 18
  5. HCF of 96 and 144 = 48