Practice Using Recursion (3.4.2.3) - Euclid's algorithm for gcd - Data Structures and Algorithms in Python
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Using Recursion

Practice - Using Recursion

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define GCD in your own words.

💡 Hint: Think about factors.

Question 2 Easy

What is the outcome of gcd(15, 10)?

💡 Hint: List out the factors.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does GCD stand for?

Greatest Common Distinct
Greatest Common Divisor
General Common Denominator

💡 Hint: Think about common divisors.

Question 2

True or False: Euclid's algorithm can be used to find the GCD of more than two numbers.

True
False

💡 Hint: Consider extending the logic of two numbers.

3 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Design a Python program that takes a list of integers and returns their GCD using Euclid's algorithm.

💡 Hint: Utilize reduce to combine results, applying the gcd function iteratively.

Challenge 2 Hard

Prove that the GCD computed using both the difference method and the remainder method yield the same result for any two integers.

💡 Hint: You can use examples to illustrate your proof.

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Reference links

Supplementary resources to enhance your learning experience.