Practice Assuming M > N (3.4.1) - Euclid's algorithm for gcd - Data Structures and Algorithms in Python
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Assuming m > n

Practice - Assuming m > n

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the gcd of 12 and 8?

💡 Hint: List down the common factors.

Question 2 Easy

Explain why the gcd of any number and zero is the number itself.

💡 Hint: Think about divisor properties.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the first step in calculating gcd using Euclid's Algorithm?

List all factors
Check if n divides m
Subtract n from m

💡 Hint: Remember that division might lead to an immediate answer.

Question 2

True or False: The gcd of two numbers can be zero.

True
False

💡 Hint: Think about the property of divisibility.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove that the gcd function is commutative. That is, prove that gcd(m, n) = gcd(n, m).

💡 Hint: Consider how both numbers influence each other through division.

Challenge 2 Hard

Calculate the gcd of 252 and 105 using both the recursive and iterative methods. Compare steps taken.

💡 Hint: Track each call or loop carefully to see how numbers reduce.

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Reference links

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