Practice Week - 01 (3.1.4) - Euclid's algorithm for gcd - Data Structures and Algorithms in Python
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Week - 01

Practice - Week - 01

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does GCD stand for?

💡 Hint: Think about what the largest number that can divide two integers is.

Question 2 Easy

In simple terms, what is Euclid's algorithm used for?

💡 Hint: It's a method that captures an old mathematical concept.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does GCD stand for?

Global Common Divisor
Greatest Common Divisor
General Common Division

💡 Hint: Think about the meaning of greatest in terms of division.

Question 2

True or False: Euclid's algorithm can only work with positive integers.

True
False

💡 Hint: Consider the nature of numbers involved in division.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Design an algorithm that modifies Euclid's approach to compute GCD for multiple numbers in a list.

💡 Hint: Think about how you can chain the function calls together!

Challenge 2 Hard

Devise a scenario with two large numbers where the naive approach takes several iterations while the remainder approach quickly finds the GCD. Explain the numbers involved and the steps taken.

💡 Hint: Draw out what numbers you would choose to observe these discrepancies.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.