Practice Lecture - 03 (3.1.5) - Euclid's algorithm for gcd - Data Structures and Algorithms in Python
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Lecture - 03

Practice - Lecture - 03

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does GCD stand for?

💡 Hint: Think of what divides numbers evenly.

Question 2 Easy

What is the initial step for using Euclid's Algorithm?

💡 Hint: What do you do if they are not?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the main purpose of Euclid's Algorithm?

To list factors
To find GCD
To multiply numbers

💡 Hint: Focus on what gcd means.

Question 2

True or False: Euclid's Algorithm can only be executed in a recursive method.

True
False

💡 Hint: Think about the flexibility in coding.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Calculate the gcd of 123456 and 7890 using both the difference and the modulus versions of Euclid's Algorithm, and discuss which method is more efficient.

💡 Hint: Explore how the numbers change in each method.

Challenge 2 Hard

Propose a modification to Euclid's Algorithm that could optimize it further for large prime numbers. Explain your reasoning.

💡 Hint: Think of how primes behave in divisions.

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Reference links

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