9.7 - Summary
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Practice Questions
Test your understanding with targeted questions
What does GCD stand for?
💡 Hint: It's the largest factor that two numbers share.
Can Bezout's coefficients be negative?
💡 Hint: Think about combining numbers with negatives.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the GCD of 8 and 12?
💡 Hint: Think about the common factors of the numbers.
True or False: Bezout's coefficients can only be positive.
💡 Hint: Consider what integers include.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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