Practice Basic Gcd Algorithm (2.1.2) - Improving naive gcd - Data Structures and Algorithms in Python
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Basic gcd algorithm

Practice - Basic gcd algorithm

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define what GCD stands for.

💡 Hint: Think about the largest factor that divides two numbers.

Question 2 Easy

What is the naive approach to finding GCD?

💡 Hint: Remember how we discussed listing factors.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the initial step in the naive GCD algorithm?

List all factors of m and n
Check if m is equal to n
Use recursion

💡 Hint: Think back to the beginning of our discussion on the GCD.

Question 2

True or False: We only need to search for common factors up to the maximum of the two numbers.

True
False

💡 Hint: Join with what you know about factors.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If m = 36 and n = 60, determine the GCD using the optimized algorithm and describe each step.

💡 Hint: List out the found factors and identify shared ones.

Challenge 2 Hard

Analyze the complexity difference in both naive and optimized GCD algorithms as m and n become large.

💡 Hint: Visualize the potential reduction in iterations.

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Reference links

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