# GCD1 Understanding Common Divisors

In this video, we learn how the meaning of common divisors. We also learn some of the properties of divisors of numbers. After watching the video, answer the exercise below. In the discussion, we will also learn about prime and composite numbers.

**Practice 1: **List the divisors of the following numbers.

a.) 9

b.) 15

c.) 48

d.) 81

e.) 120

**Practice 2: **List the common divisors of the following pairs of numbers.

a.) 16 and 24

b.) 48 and 96

c.) 35 and 50

d.) 12 and 18

e. 16 and 36

The answers to the exercises above are available below this text. Answer the exercises above before scrolling. You may also want to proceed to the **next lesson** which discusses Greatest Common Divisor (GCD).

*Answers to Practice **1*

*a.) Divisors of 9: 1, 3, 9*

*b.) Divisors of 15: 1, 3, 5, 15*

*c.) Divisors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48*

*d.) Divisors of 81: 1, 3, 9, 27, 81*

*e.) 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120*

*Answers to Practice **2*

*a.) common divisors of 16 and 24: 1, 2, 4, 8*

*b.) common divisors of 48 and 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48*

*c.) common divisors of 35 and 50: 1, 5*

*d.) common divisors of 12 and 18: 1, 2, 3, 6*

*e. common divisors of 16 and 36: 1, 2, 4*

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