Euclidean Algorithm & Diophantine Equation: Examples & Solutions

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question 1 of 3

The largest integer number divisible into two integer numbers without producing a remainder is called the _____.

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1. The solutions of Diophantine equations are _____.

2. The Euclidean algorithm uses the _____.

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About This Quiz & Worksheet

Our informative quiz/worksheet combo tests you on the Diophantine equation and the Euclidean algorithm. Questions on this quiz check your understanding of what the solution to a Diophantine equation is called, the components of a Euclidean algorithm and a sample problem with a remainder.

Quiz & Worksheet Goals

This quiz will test your ability to:

  • Define the largest integer divisible into two integer numbers without a remainder
  • Explain what a Diophantine equation solution is considered
  • Identify the components of a Euclidean algorithm
  • Discuss the total number of solutions if a Diophantine equation solution is found
  • Solve an example problem involving a remainder

Skills Practiced

  • Information recall - access the knowledge you've gained regarding the components of a Euclidean algorithm
  • Knowledge application - use your knowledge to answer questions about how many solutions there are if a solution to a Diophantine equation can be found
  • Reading comprehension - ensure that you draw the most important information from the related math lesson
  • Problem solving - use acquired knowledge to solve a remainder practice problem

Additional Learning

For more information about this subject, check out our helpful lesson called Euclidean Algorithm & Diophantine Equation: Examples & Solutions. This lesson is designed to help you meet the following objectives:

  • Explain the term 'algorithm'
  • Describe an integer and a divisor
  • Detail when an algorithm stops
  • Identify a linear combination
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