"In mathematics, the Euclidean algorithm, or Euclid's algorithm, is a method for computing the greatest common divisor (GCD) of two (usually positive) integers, also known as the greatest common factor (GCF) or highest common factor (HCF). ...
The GCD of two positive integers is the largest integer that divides both of them without leaving a remainder (the GCD of two integers in general is defined in a more subtle way).
In its simplest form, Euclid's algorithm starts with a pair of positive integers, and forms a new pair that consists of the smaller number and the difference between the larger and smaller numbers. The process repeats until the numbers in the pair are equal. That number then is the greatest common divisor of the original pair of integers.
The main principle is that the GCD does not change if the smaller number is subtracted from the larger number. ... Since the larger of the two numbers is reduced, repeating this process gives successively smaller numbers, so this repetition will necessarily stop sooner or later - when the numbers are equal (if the process is attempted once more, one of the numbers will become 0)." [Euclidean algorithm. Wikipedia]
The flowchart example "Euclidean algorithm" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Mathematics solution from the Science and Education area of ConceptDraw Solution Park.
The GCD of two positive integers is the largest integer that divides both of them without leaving a remainder (the GCD of two integers in general is defined in a more subtle way).
In its simplest form, Euclid's algorithm starts with a pair of positive integers, and forms a new pair that consists of the smaller number and the difference between the larger and smaller numbers. The process repeats until the numbers in the pair are equal. That number then is the greatest common divisor of the original pair of integers.
The main principle is that the GCD does not change if the smaller number is subtracted from the larger number. ... Since the larger of the two numbers is reduced, repeating this process gives successively smaller numbers, so this repetition will necessarily stop sooner or later - when the numbers are equal (if the process is attempted once more, one of the numbers will become 0)." [Euclidean algorithm. Wikipedia]
The flowchart example "Euclidean algorithm" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Mathematics solution from the Science and Education area of ConceptDraw Solution Park.
Euclid's algorithm flow chart
The vector stencils library "HR flowchart" contains 62 flowchart symbols.
Use it to draw your HR flowcharts, workflow diagrams and process charts with the ConceptDraw PRO diagramming and vector drawing software.
The flow chart symbols library "HR flowchart" is included in the HR Flowcharts solution from the Management area of ConceptDraw Solution Park.
Use it to draw your HR flowcharts, workflow diagrams and process charts with the ConceptDraw PRO diagramming and vector drawing software.
The flow chart symbols library "HR flowchart" is included in the HR Flowcharts solution from the Management area of ConceptDraw Solution Park.
Annotation
Card
Check / audit (diamond)
-hr-flowchart---vector-stencils-library.png--diagram-flowchart-example.png)
Check / audit (square)
-hr-flowchart---vector-stencils-library.png--diagram-flowchart-example.png)
Collate
Comment / note symbol (brace)
-hr-flowchart---vector-stencils-library.png--diagram-flowchart-example.png)
Communication link
Compare (diamond)
-hr-flowchart---vector-stencils-library.png--diagram-flowchart-example.png)
Compare (square)
-hr-flowchart---vector-stencils-library.png--diagram-flowchart-example.png)
Completed form
Concurrency symbol (fork / join)
-hr-flowchart---vector-stencils-library.png--diagram-flowchart-example.png)
Conditional selector
Control transfer
Data input / output
Database
Decision
Decision indicator - No
Decision indicator - Yes
Delay
Direct access storage
Disk storage
Display
Divided process (table view)
-hr-flowchart---vector-stencils-library.png--diagram-flowchart-example.png)
Document
Entity (rounded)
-hr-flowchart---vector-stencils-library.png--diagram-flowchart-example.png)
Event
Extract
Flow line
Internal storage
Junction symbol
Lined document
Lined / shaded process
Loop limit
Manual file
Manual input
Manual operation
Merge
Multi document
Multi process
Off-page reference - arrow
Off-page reference - incoming
Off-page reference - outgoing
On-page reference/ Inspection point
Or
Page
Paper tape
Predefined process
Prepare conditional
Process step
Reference point
Sequential access storage
Sort
Start (circle)
-hr-flowchart---vector-stencils-library.png--diagram-flowchart-example.png)
Start (ellipse)
-hr-flowchart---vector-stencils-library.png--diagram-flowchart-example.png)
Stickman pictogram
Stored data
Summary
Tagged document
Tagged process
Terminal point
Title block
Torso pictogram
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