NOTE: Answers to all questions are given at the end of this exercise.

**Question No. 1:**

**Find all the common factors of:**

**(a) 6 and 9**

**(b) 15 and 18**

**(c) 27 and 36**

**(d) 30 and 45**

**Question No. 2:**

**Find the HCF of the following:**

**(a) 12 and 30**

**(b) 15 and 75**

**(c) 16 and 40**

**(d) 24 and 64**

**(e) 24 and 108**

**(f) 28 and 56**

**(g) 36 and 243**

**(h) 324 and 128**

**Question No. 3:**

**Find the HCF of:**

**(a) 27, 63 and 208**

**(b) 84, 63 and 126**

**(c) 48, 72, and 132**

**(d) 30, 75, 90 and 135**

**(e) 36, 168, 144 and 252**

**(f) 2³ x 3² x 5 and 2² x 3⁴ x 5³**

**(g) 2 x 5² x 7 and 2³ x 3⁴ x 5³ x 7²**

**Question No. 4:**

**James wants to cover a floor 90 cm by 120 cm with square tiles of the same size. Given that he uses only whole tiles, find**

**(a) The largest possible length of the size of each tile;**

**(b) The number of tiles needed to cover the floor.**

**Question No. 5:**

**Paul has three pieces of rope with lengths of 140 cm, 168 cm and 210 cm. He wishes to cut the three pieces of rope into smaller pieces of equal length with no remainders.**

**(a) What is the greatest possible length of each of the smaller pieces of rope?**

**(b) How many of the smaller pieces of rope of equal length can he get?**

**Answers**

**(from left to right)**

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