Practice Greatest Common Divisor (GCD) - 8.7 | 8. Prime Numbers and GCD | Discrete Mathematics - Vol 3
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Greatest Common Divisor (GCD)

8.7 - Greatest Common Divisor (GCD)

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the GCD of 10 and 25?

💡 Hint: Find the largest number that divides both.

Question 2 Easy

Name two co-prime numbers.

💡 Hint: Look for numbers that share no divisors other than 1.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does GCD stand for?

Greatest Common Divisor
Greatest Common Denominator
General Common Divisor

💡 Hint: Recall its definition.

Question 2

True or False: If the GCD of two numbers is greater than 1, they are co-prime.

True
False

💡 Hint: Think about the definition of co-primality.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove that the GCD of any number and 0 is the number itself.

💡 Hint: Consider how division works.

Challenge 2 Hard

Employ Lame's theorem to find the GCD of two very large numbers, illustrating the process of using it.

💡 Hint: Track the remainders and relate them to the Fibonacci sequence.

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Reference links

Supplementary resources to enhance your learning experience.