Practice Improving Naive Gcd (2.1.1) - Improving naive gcd - Data Structures and Algorithms in Python
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Improving naive gcd

Practice - Improving naive gcd

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Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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?

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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?

Challenge 2 Hard

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?

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Reference links

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