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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the GCD of 12 and 15?
💡 Hint: List the factors of both numbers.
Question 2
Easy
State Bezout's Theorem in your own words.
💡 Hint: Think about what a linear combination means.
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 does GCD stand for?
- Greatest Common Denominator
- Greatest Common Divisor
- General Combinatorial Division
💡 Hint: Think about what 'divisor' means.
Question 2
True or False: Bezout's Theorem requires the integers to be positive.
- True
- False
💡 Hint: Remember that coefficients can be negative.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation