Greatest Common Divisor and Division Quiz
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Questions and Answers

What is the definition of the greatest common divisor (GCD)?

  • The number performing the division
  • The number left over after division
  • The largest divisor that is common to all the numbers of a group (correct)
  • The result of a division operation

    • What are the four numerical elements involved in a division operation?

  • Coefficient, Variable, Constant, Exponent
  • Addend, Subtrahend, Product, Sum
  • Dividend, Divisor, Quotient, Remainder (correct)
  • Base, Power, Radical, Index

    • If the division of two numbers leaves a remainder of 0, what can be said about the divisor?

  • It is called a common divisor
  • It is not a factor of the dividend
  • It is called a greatest common divisor
  • It exactly divides the dividend (correct)

    • What is the GCD of 24 and 36?

    <p>$GCD(24, 36) = 12$</p> Signup and view all the answers

    What does the GCD of various groups of numbers share?

    <p>They share certain common properties</p> Signup and view all the answers

    What is the property of GCD that ensures the result does not change when the order of the elements being operated on is changed?

    <p>Commutative</p> Signup and view all the answers

    What method utilizes the prime factors of the numbers to determine their GCD?

    <p>Prime factorization method</p> Signup and view all the answers

    What is the GCD of 24 and 36 using Euclid's algorithm?

    <p>$12$</p> Signup and view all the answers

    Calculate the GCD of 56, 72, and 84 using the prime factorization method.

    <p>$12$</p> Signup and view all the answers

    What is the property of GCD that allows it to be individually operated on the elements of a group?

    <p>Distributive</p> Signup and view all the answers

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