Table Of Contents
Latest update [menu]
Version 1.1 updated.
Description [menu]
The Euclidean algorithm is usually used simply to find the greatest common divisor of two integers. (For a description of this algorithm, see the notes about additional topics in number theory.) The standard Euclidean algorithm gives the greatest common divisor and nothing else. However, if we keep track of a bit more information as we go through the algorithm, we can discover how to write the greatest common divisor as an integer linear combination of the two original numbers. In other words, we can find integers s and t such that
gcd(a, b) = sa + tb.
[Note that, since gcd(a, b) is usually less than both a and b, one of s or t will usually be negative.]
As a reminder, here are the steps of the standard Euclidean algorithm to find the greatest common divisor of two positive integers a and b:
Set the value of the variable c to the larger of the two values a and b, and set d to the smaller of a and b.
Find the remainder when c is divided by d. Call this remainder r.
If r = 0, then gcd(a, b) = d. Stop.
Otherwise, use the current values of d and r as the new values of c and d, respectively, and go back to step 2.
The extended Euclidean algorithm uses the same framework, but there is a bit more bookkeeping. Before we present a formal description of the extended Euclidean algorithm, let’s work our way through
an example to illustrate the main ideas.
How to install Extended Euclidean Algorithm APK for Android [menu]
Download Extended Euclidean Algorithm APK file (com.gokhankurt.extendedeuclid_2_1709769.apk) from SameAPK.com, then follow these steps:
Update Phone Settings
- Go to your phone Settings page
- Tap Security or Applications (varies with device)
- Check the Unknown Sources box
- Confirm with OK
Go to Downloads
- Open Downloads on your device by going to My Files or Files
- Tap the APK file you downloaded (com.gokhankurt.extendedeuclid_2_1709769.apk)
- Tap Install when prompted, the APK file you downloaded will be installed on your device.
How to install Extended Euclidean Algorithm APK on Windows 7/8/10 or MAC PC? [menu]
Download Extended Euclidean Algorithm APK file(com.gokhankurt.extendedeuclid_2_1709769.apk) from SameAPK.com to your PC (ex: /Users/xxx/Downloads/(com.gokhankurt.extendedeuclid_2_1709769.apk)), then follow these steps:
Using Emulator:
- Download And Install one Emulator Softwares (Ex: Bluestacks, GenyMotion, NoxPlayer)
- Simple install APK on PC by drag and drop file com.gokhankurt.extendedeuclid_2_1709769.apk on Emulator screen
Extended Euclidean Algorithm APK Pros & Cons [menu]
Pros
- This app is safe, it's not require high risk permissions
- Compatible with 32 bit device (most Emulator using 32bit arch CPU)
- Compatible with 64-bit device (some android device and current Bluestacks)
Cons
Everything is good.
