Get Euclidean Algorithm Worksheet

The Euclidean Algorithm Worksheet is a valuable tool for understanding the process of finding the greatest common divisor (gcd) of two integers. This guide will provide step-by-step instructions on how to fill out the worksheet online, ensuring clarity and ease of use for all users.

Follow the steps to successfully complete the Euclidean Algorithm Worksheet

1. Click the ‘Get Form’ button to obtain the worksheet and access it in your preferred editor.
2. Begin by locating the section for entering the first pair of integers, labeled as 'a' and 'b'. Input the two integers you wish to analyze. For example, for the first example provided, enter '254' for 'a' and '32' for 'b'.
3. Follow the format of the Euclidean algorithm to compute the gcd. Write down each operation step by step, starting with the division of 'a' by 'b'. Continue this process until the remainder is zero, noting the last non-zero remainder as the gcd.
4. After determining the gcd, reverse the steps to express this gcd as a linear combination of 'a' and 'b'. Document the calculations to find integers 's' and 't' such that 'as + bt = gcd(a, b)'.
5. Once you finish with the calculations for one pair of integers, proceed to the next pair by repeating steps 2 through 4 as necessary.
6. After completing all pairs, review your work for accuracy. You can now save your changes in the editor, download the document, print it for physical use, or share it with others as needed.

Complete your Euclidean Algorithm Worksheet online now to enhance your understanding of this mathematical process.