Practice Properties of GCD - 8.7.4 | 8. Prime Numbers and GCD | Discrete Mathematics - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the GCD of 20 and 30?

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

Question 2

Easy

Is 12 a divisor of 36?

💡 Hint: Divide 36 by 12.

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 15 and 25?

  • 5
  • 15
  • 10

💡 Hint: Think about common divisors.

Question 2

True or False: GCD(a, b) = GCD(b, a).

  • True
  • False

💡 Hint: Consider how addition works.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Find the GCD of 128 and 72 using Euclid's algorithm and explain each step taken.

💡 Hint: Track remainders carefully.

Question 2

Using Lame's theorem, demonstrate that Euclid's algorithm is polynomial time by showing the number of iterations needed.

💡 Hint: Link Fibonacci growth to logarithmic scales.

Challenge and get performance evaluation