Practice Finding GCD using Prime Factorization - 8.7.2 | 8. Prime Numbers and GCD | Discrete Mathematics - Vol 3
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Finding GCD using Prime Factorization

8.7.2 - Finding GCD using Prime Factorization

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a prime number?

💡 Hint: Think about its definition.

Question 2 Easy

Calculate the GCD of 24 and 36 using prime factorization.

💡 Hint: First factor each number into primes.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the definition of GCD?

The smallest number that can divide two numbers
The greatest number that can divide two numbers
Any number that divides two numbers

💡 Hint: Think about the largest factor common to both.

Question 2

True or False: 28 is a prime number.

True
False

💡 Hint: Remember the definition of prime number.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If you were to compute the GCD of 210 and 45 using Euclid's Algorithm, what steps would you take?

💡 Hint: Use the remainder at each step.

Challenge 2 Hard

Prove why every prime number is coprime to any integer that is not a multiple of itself.

💡 Hint: Consider their definitions carefully.

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Reference links

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