9 - Lecture – 57: Properties of GCD and Bezout’s Theorem
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Practice Questions
Test your understanding with targeted questions
What is the GCD of 24 and 36?
💡 Hint: Use the prime factorization method.
State Bezout’s theorem in your own words.
💡 Hint: Think about what linear combinations mean.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is Bezout's theorem?
💡 Hint: Think about what the theorem involves.
True or False: The multiplicative inverse of a number a modulo N exists if and only if GCD(a, N) = 1.
💡 Hint: Consider the relationship between inverses and GCD.
1 more question available
Challenge Problems
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Prove that for any integers a and b, there exist integers x and y such that ax + by = gcd(a, b).
💡 Hint: Use examples such as (252, 198) during your proof.
Given a = 13 and N = 24, find the multiplicative inverse modulo N.
💡 Hint: Use the extended Euclidean algorithm to compute this.
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