Practice Improvements In Gcd Calculation (2.1.3) - Improving naive gcd
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Improvements in gcd calculation

Practice - Improvements in gcd calculation

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

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

💡 Hint: List the factors of both numbers.

Question 2 Easy

Name the smallest GCD between any two numbers.

💡 Hint: Think about common factors.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the GCD of 10 and 25?

1
5
10

💡 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

💡 Hint: Think of how factors relate to the numbers.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

💡 Hint: Consider how division can reveal factors directly.

Challenge 2 Hard

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

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

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Reference links

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