Practice Running Time of the Euclid GCD Algorithm - 8.7.6 | 8. Prime Numbers and GCD | Discrete Mathematics - Vol 3
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define GCD.

💡 Hint: Think about common divisors.

Question 2

Easy

What is Euclid's algorithm used for?

💡 Hint: Consider its historical context.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does GCD stand for?

  • Greatest Common Divisor
  • Greatest Common Denominator
  • General Common Divisor

💡 Hint: It’s related to division.

Question 2

True or False: Euclid's algorithm is less efficient than naive primality testing.

  • True
  • False

💡 Hint: Think about their performance with large numbers.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Using Euclid's algorithm, calculate the GCD of 252 and 105, and discuss how each division step leads to the conclusion.

💡 Hint: Follow the division steps closely.

Question 2

Using Lame’s theorem, determine how many iterations are needed if the second number is a Fibonacci number.

💡 Hint: Consider Fibonacci relationships.

Challenge and get performance evaluation