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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does GCD stand for?
💡 Hint: Think about what the 'greatest' refers to.
Question 2
Easy
List a common factor of 12 and 8.
💡 Hint: Consider smaller numbers first.
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 main improvement discussed for the naive gcd algorithm?
- Immediate listing of all factors
- Single scan to find common factors
- Using recursion
💡 Hint: Think about how we can reduce redundant calculations.
Question 2
True or False: In the naive gcd method, we search up to the maximum of m and n.
- True
- False
💡 Hint: Why would checking beyond the smaller number be pointless?
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Calculate the GCD of 56 and 98 using the naive method and the optimized approach. Write both algorithms in Python.
💡 Hint: Implement both methods and test them with the same inputs. How do their results compare?
Question 2
Using the Euclidean algorithm, calculate the GCD of 48 and 180. Show each step taken.
💡 Hint: What happens to the larger number at each step?
Challenge and get performance evaluation