HCF Worksheet – Class 6

Name: _____________________
Date: _____________________

A. Find the HCF

1. Find the HCF of 12 and 18 → ______
2. Find the HCF of 24 and 36 → ______
3. Find the HCF of 45 and 60 → ______
4. Find the HCF of 16 and 28 → ______
5. Find the HCF of 21 and 35 → ______

B. Find the HCF Using Prime Factorization

1. 18, 24 → ______
2. 36, 48 → ______
3. 20, 50 → ______
4. 42, 56 → ______
5. 30, 45 → ______

C. Word Problems

1. Two ropes are 24 m and 36 m long. They need to be cut into equal pieces without any leftover. Find the greatest length of each piece.
2. A farmer has 48 apples and 60 oranges. He wants to make fruit baskets with the same number of fruits in each basket. What is the maximum number of fruits in each basket?
3. Two ropes are 56 cm and 72 cm. They are cut into equal lengths without any remainder. Find the length of each piece.
4. There are 84 boys and 70 girls in a school. They need to be divided into groups with an equal number of students of each gender. Find the maximum number of students in each group.
5. Two ribbons are 90 cm and 150 cm long. Find the greatest length of each ribbon so that both can be cut into equal pieces.

D. Challenge Questions

1. Find the HCF of 64, 80, and 96 → ______
2. Find the HCF of 120 and 150 → ______
3. Find the HCF of 81, 54, and 27 → ______
4. Find the HCF of 144 and 180 → ______
5. Find the HCF of 105 and 175 → ______