8.7.6 - Running Time of the Euclid GCD Algorithm
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Practice Questions
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Define GCD.
💡 Hint: Think about common divisors.
What is Euclid's algorithm used for?
💡 Hint: Consider its historical context.
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Interactive Quizzes
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What does GCD stand for?
💡 Hint: It’s related to division.
True or False: Euclid's algorithm is less efficient than naive primality testing.
💡 Hint: Think about their performance with large numbers.
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Challenge Problems
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Using Euclid's algorithm, calculate the GCD of 252 and 105, and discuss how each division step leads to the conclusion.
💡 Hint: Follow the division steps closely.
Using Lame’s theorem, determine how many iterations are needed if the second number is a Fibonacci number.
💡 Hint: Consider Fibonacci relationships.
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