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Practice Questions
Test your understanding with targeted questions related to the topic.
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.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
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.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
Analyze the complexity difference in both naive and optimized GCD algorithms as m and n become large.
💡 Hint: Visualize the potential reduction in iterations.
Challenge and get performance evaluation