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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does GCD stand for?
💡 Hint: It's the largest factor that two numbers share.
Question 2
Easy
Can Bezout's coefficients be negative?
💡 Hint: Think about combining numbers with negatives.
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 8 and 12?
- 4
- 2
- 1
💡 Hint: Think about the common factors of the numbers.
Question 2
True or False: Bezout's coefficients can only be positive.
- True
- False
💡 Hint: Consider what integers include.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that if a number a has a multiplicative inverse mod N, then it must be coprime to N.
💡 Hint: Think about the definitions and relationships.
Question 2
Using the extended Euclidean algorithm, compute the Bezout coefficients for 170 and 45.
💡 Hint: Remember to express each remainder as a combination of a and b.
Challenge and get performance evaluation