Use the Division Method, find the Highest Common Factor (HCF) for each of the following problems. Show your working step by step.
Question 1
Find the HCF of 56 and 42
Question 2
Calculate the HCF of 124 and 84
Question 3
Find the HCF of 315 and 195
Question 4
A carpenter has two wooden planks of lengths 168 cm and 120 cm. He needs to cut them into pieces of equal length without any wastage. What is the maximum possible length of each piece? Use the Division Method to solve this problem.
Question 5
Find the HCF of 231 and 147
Remember to divide the larger number by the smaller number first.
Question 6
A teacher wants to divide 170 pens and 255 pencils equally among students. Each student should get the same number of pens and the same number of pencils, with no supplies left over. What is the maximum number of students the teacher can accommodate? Use the Division Method to solve this problem.