Greatest Common Divisor (GCD) and Least Common Multiple (LCM)

Interactive exercise
Objective: Students will practice finding the Greatest Common Divisor (GCD) and the Least common Multiple (LCM) of two numbers. [br][br]The greatest common Divisor (GCD) is the largest number that divides two numbers evenly. The Least Common Multiple (LCM) is the smallest positive number that both numbers share as a multiple. [br][br]EXAMPLE NUMBER 24 AND 36 [br][br]1) Find the GCD of 24 and 36.[br]Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24[br]Factors of 36 is = 1, 2, 3, 4, 6, 9, 12, 18, 36[br][br]Answer is 12[br][br]2) Find the LCM of 24 and 36.[br][br]Multiples of 24: 24, 48, 72, 96, 120, ....[br]Multiples of 36: 36, 72, 108, 144, ...[br][br]Answer is 72[br][br]
What is the Greatest Common Divisor (GCD) of 10 and 12?[br]
What is the Least Common Multiple (LCM) of 15 and 20?[br]
What is the Greatest Common Divisor (GCD) of 24 and 36?[br]
This applet is an interactive exercise that helps students practice finding the Greatest Common Divisor (GCD) and the Least Common Multiple (LCM) of two numbers. [br]Students solve each problem and compare their answers to strengthen their understanding of these concepts. [br][br][br]This activity can be used to after introducing GCD and LCM in class. Students can complete the questions independently or work with a partner to explain how they found each answer. The activity reinforces problem-solving skills and prepares students for more advanced number theory topics.
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Information: Greatest Common Divisor (GCD) and Least Common Multiple (LCM)