9.4 - Extended Euclid’s Algorithm
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Practice Questions
Test your understanding with targeted questions
What is the GCD of 12 and 15?
💡 Hint: Find the largest integer that divides both numbers.
Can you express the GCD of 8 and 12 as a linear combination?
💡 Hint: Use integer coefficients to represent the combination.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does Bezout's theorem state?
💡 Hint: Think about how we discussed expressing the GCD.
True or False: The coefficients in Bezout's theorem are always positive.
💡 Hint: Consider the examples we went through.
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Challenge Problems
Push your limits with advanced challenges
Prove that if a is a multiple of N, then it cannot have a multiplicative inverse modulo N.
💡 Hint: Consider the definition of GCD.
Use the Extended Euclidean Algorithm to find the GCD of 101 and 10, and express it using Bezout's coefficients.
💡 Hint: Document each step in the algorithm carefully.
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