# Euclidean Algorithm & Diophantine Equation: Examples & Solutions Video

Instructions:

question 1 of 3

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

Create Your Account To Take This Quiz

As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Try it risk-free for 30 days. Cancel anytime

### 2. The Euclidean algorithm uses the _____.

Create your account to access this entire worksheet
Quizzes, practice exams & worksheets
Certificate of Completion
Create an account to get started

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