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3 cards from this section. Quick, good the night before a test.
What does GCD stand for?
It's the largest factor that two numbers share.
Can Bezout's coefficients be negative?
Think about combining numbers with negatives.
What is the GCD of 8 and 12?
Think about the common factors of the numbers.
True or False: Bezout's coefficients can only be positive.
Consider what integers include.
Prove that if a number a has a multiplicative inverse mod N, then it must be coprime to N.
Think about the definitions and relationships.
Using the extended Euclidean algorithm, compute the Bezout coefficients for 170 and 45.
Remember to express each remainder as a combination of a and b.
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