Euclidean Algorithm GCD 1.0.4 Icon

Euclidean Algorithm GCD

nummolt Education
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1.0.4
version
Oct 13, 2020
release date
1.9 MB
file size
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About Euclidean Algorithm GCD Android App

Animated Euclidean Algorithm
Greatest Common Divisor.
Useful to reduce fractions

Visible Euclidean algorithm

GCD, also known as the greatest common factor (gcf), highest common factor (hcf), greatest common measure (gcm), or highest common divisor.

Dynamic and geometric representation of the algorithm.

Recursive algorithm
And Least Common Multiple deduced from GCD:
lcm(a,b) = a*b / gcd(a,b)

Useful to understand the gcd (Euclidean Algorithm) recursive code: (Java)

int gcd(int m, int n){
if(0==n){
return m;
}else{
return gcd(n,m%n);
}
}

Added Geometric visualization.
Algorithm executed by Dandelions coming from the nearby Mathematical Garden

Euclidean Algorithm History:
("The Pulverizer")

The Euclidean algorithm is one of the oldest algorithms in common use.
It appears in Euclid's Elements (c. 300 BC), specifically in Book 7 (Propositions 1–2) and Book 10 (Propositions 2–3).
Centuries later, Euclid's algorithm was discovered independently both in India and in China, primarily to solve Diophantine equations that arose in astronomy and making accurate calendars.
In the late 5th century, the Indian mathematician and astronomer Aryabhata described the algorithm as the "pulverizer", perhaps because of its effectiveness in solving Diophantine equations.

Acknowledgements:
Joan Jareño (Creamat) (Addition of lcm)

Other Information:

Requires Android:
Android 4.0.3+ (Ice Cream Sandwich MR1, API 15)
Other Sources:

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This version of Euclidean Algorithm GCD Android App comes with one universal variant which will work on all the Android devices.

Variant
5
(Oct 13, 2020)
Architecture
Unlimited
Minimum OS
Android 4.0.3+ (Ice Cream Sandwich MR1, API 15)
Screen DPI
nodpi (all screens)
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