9.1 - Introduction
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What is the GCD of 12 and 15?
💡 Hint: List the factors of both numbers.
State Bezout's Theorem in your own words.
💡 Hint: Think about what a linear combination means.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does GCD stand for?
💡 Hint: Think about what 'divisor' means.
True or False: Bezout's Theorem requires the integers to be positive.
💡 Hint: Remember that coefficients can be negative.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
If a = 198 and b = 252, find the GCD using the Extended Euclidean Algorithm and provide the Bezout coefficients.
💡 Hint: Follow the steps of the Extended Euclidean Algorithm carefully.
Prove that if GCD(a, b) = 1, then a and b are coprime by applying Bezout’s theorem.
💡 Hint: Use the definitions of gcd and linear combinations to show their relationship.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.