## GCD WORKSHEETS

In this page GCD worksheets we are going have to some practice questions. For each question you have solution with detailed explanation.

Definition:

Greatest common divisor (GCD)  is the largest common factor of two or more numbers

To find the greatest common divisor of the given numbers or for algebraic expressions we have to follow the steps:

Step 1: List the prime factors of each of the given number. For algebraic expression we have to find factors of them.

Step 2: List the common factors of the given numbers or common factors.

Step 3: Multiply those common factors.

Let us have some  problems on this "GCD worksheets".

 (1) Find the greatest common divisor of   7 x² y z⁴ , 21 x² y⁵ z³ (2) Find the greatest common divisor of   x² y,  x³ y , x² y² (3) Find the greatest common divisor of   25 b c⁴ d³ , 35 b² c⁵ , 45 c³ d (4) Find the greatest common divisor of   35 x⁵ y³ z⁴ , 49 x² y z³ , 14 x y² z² (5) Find the GCD of the followingc² - d² , c (c - d) Solution (6) Find the GCD of the followingx⁴ - 27 a³ x , (x - 3a)² Solution (7) Find the GCD of the followingm² - 3 m - 18 , m² + 5 m + 6 Solution (8) Find the GCD of the followingx² + 14 x + 33 , x³ + 10 x² - 11 x Solution (9) Find the GCD of the followingx² + 3 x y + 2 y² , x² + 5 x y + 6 y² Solution (10) Find the GCD of the following2 x² - x - 1 , 4 x² + 8 x + 3 Solution (11) Find the GCD of the followingx² - x - 2 , x² + x - 6 , 3 x² - 13 x + 14 Solution (12) Find the GCD of the followingx³ - x² + x - 1 , x² + x - 6 , x⁴ - 1 Solution (13) Find the GCD of the following24 (6 x⁴ - x³ - 2 x²) , 20 (2 x⁶ + 3 x⁵ + x⁴) Solution (14) Find the GCD of the following(a - 1)⁵ (a + 3)² , (a - 2)² (a - 1)³ (a + 3)⁴ Solution (15) Find the GCD of the following pairs of polynomials using division algorithmx³ - 9 x² + 23 x - 15 ,  4 x² - 16 x + 12 Solution (16) Find the GCD of the following pairs of polynomials using division algorithm3 x³ + 18 x² + 33 x + 18 ,  3 x² + 13 x + 10 Solution (17) Find the GCD of the following pairs of polynomials using division algorithm2 x³ + 2 x² + 2 x + 2 ,  6 x³ + 12 x² + 6 x + 12 Solution (18) Find the GCD of the following pairs of polynomials using division algorithmx³ - 3 x² + 4 x - 12 , x⁴ + x³ + 4 x² + 4 x Solution Featured Categories

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