Practice Proof of Euclid’s GCD Algorithm - 8.7.5 | 8. Prime Numbers and GCD | Discrete Mathematics - Vol 3
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8.7.5 - Proof of Euclid’s GCD Algorithm

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the GCD of 15 and 25?

💡 Hint: Find common factors of both numbers.

Question 2

Easy

Is 7 a prime number?

💡 Hint: Check divisibility.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the GCD of 48 and 18?

  • 12
  • 6
  • 24
  • 18

💡 Hint: Remember to apply the division process.

Question 2

True or False: All prime numbers are odd except 2.

  • True
  • False

💡 Hint: Recalling the definition of prime numbers.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Prove Euclid's algorithm by using a counterexample to show that if GCD(a, b) is the same as GCD(b, r), then the algorithm will function correctly.

💡 Hint: Consider specific values for a and b and their remainders to illustrate your point.

Question 2

Design an efficient algorithm to compute the GCD of 3 integers using the concept of pairwise GCD.

💡 Hint: Use the associative property of GCD.

Challenge and get performance evaluation