Euclidean Algorithm and GCD Quiz
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Questions and Answers

Which mathematician is the Euclidean algorithm named after?

  • Euclid (correct)
  • Archimedes
  • Newton
  • Pythagoras

    • What is the Euclidean algorithm used for?

  • Computing the greatest common divisor (correct)
  • Solving quadratic equations
  • Simplifying fractions
  • Computing the least common multiple

    • Which of the following is true about the Euclidean algorithm?

  • It is a recent algorithm
  • It was developed by a team of mathematicians
  • It is based on the principle that the GCD of two numbers changes if the larger number is replaced by its difference with the smaller number (correct)
  • It can only be used for number-theoretic calculations

    • In what work did Euclid first describe the Euclidean algorithm?

    <p>The Elements</p> Signup and view all the answers

    What can the Euclidean algorithm be used to do?

    <p>Reduce fractions to their simplest form</p> Signup and view all the answers

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