Practice First Version Of Euclid's Algorithm (3.4) - Euclid's algorithm for gcd
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First Version of Euclid's Algorithm

Practice - First Version of Euclid's Algorithm

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the gcd of 10 and 15?

💡 Hint: Think about the factors of each number.

Question 2 Easy

Explain why 1 is the gcd of any two numbers that are co-prime.

💡 Hint: Recall the definition of co-prime.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the main purpose of Euclid's algorithm?

To find factors of two numbers
To compute their greatest common divisor
To find the product of two numbers

💡 Hint: Think about what the algorithm directly achieves.

Question 2

Is the remainder method more efficient than the difference method in Euclid's algorithm?

True
False

💡 Hint: Recall the examples where both methods were compared.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given two numbers, 101 and 10, apply Euclid's algorithm and outline each step taken before finding the gcd.

💡 Hint: Calculate the difference or remainder at each step.

Challenge 2 Hard

Create a Python function for Euclid's algorithm, then test it with large integers like 123456 and 789012. Discuss the performance comparison with simpler methods.

💡 Hint: Focus on how recursion reduces the number of operations.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.