Bezout's Identity: Proof & Examples


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question 1 of 3

The greatest common divisor of 8 and 12 is _____.

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1. An efficient algorithm for finding the greatest common divisor is the _____.

2. From Bazout's identity, 8x + 12y = 4. The values for x and y are _____.

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About This Quiz & Worksheet

This quiz and worksheet combo quickly and efficiently tests your understanding of Bezout's identity. You will be quizzed on what this proof is and how to carry it out for a given set of integers.

Quiz & Worksheet Goals

Use this assessment to measure your knowledge of:

  • The remainder of a division equation
  • An efficient algorithm used to find the greatest common divisor
  • The values of x and y for a given equation involving Bezout's identity

Skills Practiced

  • Making connections - use understanding of the concept of Bezout's identity to work with greatest common divisors
  • Problem solving - use acquired knowledge to solve Bezout's identity practice problems
  • Information recall - access the knowledge you've gained regarding the algorithm used to find the greatest common divisor of a given equation

Additional Learning

For a deeper understanding of this mathematical topic, review the accompanying lesson called Bezout's Identity: Proof & Examples. It includes:

  • The most effective way to find a proof of Bezout's identity
  • Greatest common divisor example problems
  • The drawbacks of using test by division to find the greatest common divisor