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.
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.
EXAMPLE NUMBER 24 AND 36
1) Find the GCD of 24 and 36.
Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24
Factors of 36 is = 1, 2, 3, 4, 6, 9, 12, 18, 36
Answer is 12
2) Find the LCM of 24 and 36.
Multiples of 24: 24, 48, 72, 96, 120, ....
Multiples of 36: 36, 72, 108, 144, ...
Answer is 72
What is the Greatest Common Divisor (GCD) of 10 and 12?
What is the Least Common Multiple (LCM) of 15 and 20?
What is the Greatest Common Divisor (GCD) of 24 and 36?
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.
Students solve each problem and compare their answers to strengthen their understanding of these concepts.
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.