Practice Reminder Of Euclid's Algorithm (3.6.1) - Euclid's algorithm for gcd
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Reminder of Euclid's Algorithm

Practice - Reminder of Euclid's Algorithm

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does gcd stand for?

💡 Hint: Think about the largest number that divides others.

Question 2 Easy

Is the gcd of any two numbers greater than both numbers?

💡 Hint: Consider the definition of gcd.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the greatest common divisor of 60 and 48?

12
24
30

💡 Hint: Calculate the factors of both numbers.

Question 2

True or False: The gcd of two numbers is always greater than or equal to the smallest number.

True
False

💡 Hint: Consider the definition of gcd.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

When calculating the gcd of 404 and 218 using Euclid's algorithm, describe each step taken.

💡 Hint: Keep track of numbers and their remainders at each step.

Challenge 2 Hard

Create a Python implementation for gcd that uses both recursion and iteration, compare their run times for large inputs.

💡 Hint: Test with very large integers to see how performance varies.

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Reference links

Supplementary resources to enhance your learning experience.