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8.7.1. Definition of GCD

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  1. 1.

    Find the GCD of 10 and 5.

    Hint

    Think about the largest number that can divide both.

  2. 2.

    Are the numbers 8 and 15 co-prime?

    Hint

    Calculate their GCD to confirm.

  3. 3.

    What does GCD stand for?

    • Greatest Common Divisor
    • Greatest Calculated Division
    • General Common Denominator
    Hint

    Think about the largest divisor of two numbers.

  4. 4.

    Are the numbers 14 and 25 co-prime?

    • True
    • False
    Hint

    Check if they share any common divisors.

  5. 5.

    If you were to apply Euclid's algorithm to find the GCD of 144 and 1024, describe each step taken and the final answer.

    Hint

    Keep track of your remainders carefully.

  6. 6.

    How would you use prime factorization to find the GCD of 60 and 48? Show all steps.

    Hint

    List out all prime factors and find the common ones.

Exercises

Total Questions

2

Estimated Time

4 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting

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Quiz

Total Questions

2

Estimated Time

4 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting

1 more question available

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Challenge Problems

Total Questions

2

Estimated Time

4 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting