Practice Euclid’s GCD Algorithm - 8.7.3 | 8. Prime Numbers and GCD | Discrete Mathematics - Vol 3
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Euclid’s GCD Algorithm

8.7.3 - Euclid’s GCD Algorithm

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the GCD of 24 and 36?

💡 Hint: Find the largest number that divides both 24 and 36.

Question 2 Easy

Are the numbers 9 and 28 co-prime?

💡 Hint: Check their common divisors.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the GCD of 15 and 10?

5
15
10

💡 Hint: List the factors of both numbers.

Question 2

True or False: The GCD of two numbers can be greater than either number.

True
False

💡 Hint: Think about the definition of GCD.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Using Euclid's algorithm, compute the GCD of 1071 and 462.

💡 Hint: Perform divisions of 1071 by 462 and keep finding remainders until you reach 0.

Challenge 2 Hard

Prove that the GCD of a number and itself is the number.

💡 Hint: Consider the definition of GCD.

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Reference links

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