Practice Chennai Mathematical Institute, Madras (3.1.3) - Euclid's algorithm for gcd
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Chennai Mathematical Institute, Madras

Practice - Chennai Mathematical Institute, Madras

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the gcd of 15 and 5?

💡 Hint: Look for the largest number that divides both.

Question 2 Easy

Which of the following is a factor of 12? (A) 3 (B) 4 (C) 6 (D) 8

💡 Hint: Divide 12 by each number.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does gcd stand for?

Greatest Common Divisor
Greatest Common Denominator
General Common Divisor

💡 Hint: Think about how it relates to fractions.

Question 2

When does the remainder method stop being applied?

True
False

💡 Hint: Recall what happens when you divide.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Calculate the gcd of 201 and 55 and explain the steps taken using both the subtraction and remainder methods.

💡 Hint: Document each iteration clearly.

Challenge 2 Hard

Create a Python program that will take two integers and return their gcd using recursion and the remainder method. Test it with multiple integer pairs.

💡 Hint: Check for base cases in your recursive function.

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Reference links

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