8.7.4 - Properties of GCD
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Practice Questions
Test your understanding with targeted questions
What is the GCD of 20 and 30?
💡 Hint: Look for the largest number that divides both.
Is 12 a divisor of 36?
💡 Hint: Divide 36 by 12.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the GCD of 15 and 25?
💡 Hint: Think about common divisors.
True or False: GCD(a, b) = GCD(b, a).
💡 Hint: Consider how addition works.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Find the GCD of 128 and 72 using Euclid's algorithm and explain each step taken.
💡 Hint: Track remainders carefully.
Using Lame's theorem, demonstrate that Euclid's algorithm is polynomial time by showing the number of iterations needed.
💡 Hint: Link Fibonacci growth to logarithmic scales.
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