Practice Improvements in gcd calculation - 2.1.3 | 2. Improving naive gcd | Data Structures and Algorithms in Python
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the GCD of 8 and 12 using the naive method?

πŸ’‘ Hint: List the factors of both numbers.

Question 2

Easy

Name the smallest GCD between any two numbers.

πŸ’‘ Hint: Think about common factors.

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 is the GCD of 10 and 25?

  • 1
  • 5
  • 10

πŸ’‘ Hint: Consider common factors.

Question 2

True or False: The GCD of any two numbers is always less than or equal to the smaller number.

  • True
  • False

πŸ’‘ Hint: Think of how factors relate to the numbers.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Propose a method for calculating the GCD without iterative loops. What alternative could be used?

πŸ’‘ Hint: Consider how division can reveal factors directly.

Question 2

Write a Python program that compares the naive algorithm with the optimized algorithm for efficiency. Analyze the output.

πŸ’‘ Hint: Use Python's time library to evaluate the duration of each algorithm.

Challenge and get performance evaluation