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[DOC File]Project Report
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The Euclidean algorithm can be summarized in the following flowchart. Given with . 1.5 The Euclidean Algorithm and Continued Fractions. The Euclidean Algorithm is equivalent to continued fractions. The Euclidean Algorithm is a recursive process defined as follow:; ; ; Each of these equations can be rewritten like this: divided by x1 ( (5-1)
euclidean algorithm gcd

[DOC File]Proof That Euclid’s Algorithm Works
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The Euclidean Algorithm is a time tested efficient method to find the GCD of two integers, and it can easily be programmed to compute the number of assembly phases for a gear as the following example shows.
what is the euclidean algorithm

[DOC File]Section 2 - Virginia
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Day 2 Fri. Sept. 27 Chap. 1 More examples of groups. Handouts: “Euclidean algorithm example” “Fundamental groups” Other examples of groups (Explain as much as seems needed.) Z Q R C. Q R C — called groups of units — Note that 0 is …
extended euclidean algorithm

Euclidean algorithm - Wikipedia
Extended Euclidean Algorithm. One of the consequences of the Euclidean Algorithm is as follows: Given integers a and b, there is always an integral solution to the equation. ax + by = gcd(a,b). Furthermore, the Extended Euclidean Algorithm can be used to find values of x and y to satisfy the equation above.
gcd algorithm

[DOC File]Gear Freq. Using Euclidean Algorithm
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The Euclidean Algorithm is a very useful algorithm for finding the greatest common divisor of any two given integers. Using the Euclidean Algorithm is a tedious task for pairs of large numbers because the algorithm requires a high number of steps to execute. ... Each of the examples cited above in some way involve reducing a question of n ...
gcd euclidean

[DOC File]Part one - Florida Atlantic University
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Use the Euclidean Algorithm to determine the . Solution: Note: The number of divisions needed to compute the gcd(a, b) in the Euclidean Algorithm is no more than 5 times the number of decimal digits for b. For example, when we found , b = 1095939 has 7 digits. Thus, the . Proof that the Euclidean Algorithm Produces the gcd(a, b)
euclid's algorithm

Euclidean algorithm examples