Practice Department Of Computer Science And Engineering (3.1.2) - Euclid's algorithm for gcd
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Department of Computer Science and Engineering

Practice - Department of Computer Science and Engineering

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the gcd of 10 and 15?

💡 Hint: Find the largest common divisor of both numbers.

Question 2 Easy

If a = 12 and b = 8, what is gcd(a, b)?

💡 Hint: List the common factors of both numbers.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does gcd stand for?

General combined divisor
Greatest common divisor
Greatest count divisor

💡 Hint: Think about what 'g' stands for in the acronym.

Question 2

True or False: The value of gcd(m, n) can never exceed the smaller of m and n.

True
False

💡 Hint: Consider the definition of a divisor.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Implement a Python function that calculates the gcd of two numbers using both approaches and compares their performance with large integers.

💡 Hint: Use the time module in Python to assess performance.

Challenge 2 Hard

Consider the efficiency of the remainder-based Euclidean algorithm. Propose improvements or comparisons with other gcd methods.

💡 Hint: Think about scenarios where quick calculations matter.

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