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"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.
Euclid's algorithm flow chart
Euclid's algorithm flow chart, terminator, start, end, rectangle, process, action, decision, connector,
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.
Annotation, annotation,
Card, card,
Check / audit (diamond)
Check / audit (diamond), check, audit,
Check / audit (square)
Check / audit (square), check, audit,
Collate, collate,
Comment / note symbol (brace)
Comment / note symbol (brace), brace callout, comment, note,
Communication link
Communication link, communication link,
Compare (diamond)
Compare (diamond), compare,
Compare (square)
Compare (square), compare,
Completed form
Completed form, completed form, document,
Concurrency symbol (fork / join)
Concurrency symbol (fork / join), concurrency symbol,
Conditional selector
Conditional selector, conditional selector,
Control transfer
Control transfer, control transfer,
Data input / output
Data input / output, data input, data output,
Database, database,
Decision, decision,
Decision indicator - No
Decision indicator - No, decision indicator, no,
Decision indicator - Yes
Decision indicator - Yes, decision indicator, yes,
Delay, delay,
Direct access storage
Direct access storage, direct access storage,
Disk storage
Disk storage, disk storage,
Display, display,
Divided process (table view)
Divided process (table view), divided process,
Document, document,
Entity (rounded)
Entity (rounded), entity,
Event, event,
Extract, extract, part, device,
Flow line
Flow line, flow line, arrow, connector,
Internal storage
Internal storage, internal storage,
Junction symbol
Junction symbol, junction symbol,
Lined document
Lined document, lined document,
Lined / shaded process
Lined / shaded process, lined process, shaded process,
Loop limit
Loop limit, loop limit,
Manual file
Manual file, manual file,
Manual input
Manual input, manual input,
Manual operation
Manual operation, manual operation,
Merge, merge,
Multi document
Multi document, multi document,
Multi process
Multi process, multi process,
Off-page reference - arrow
Off-page reference - arrow, off-page reference,
Off-page reference - incoming
Off-page reference - incoming, off-page reference,
Off-page reference - outgoing
Off-page reference - outgoing, off-page reference,
On-page reference/ Inspection point
On-page reference/ Inspection point, on-page reference, inspection point,
Or, or,
Page, page,
Paper tape
Paper tape, paper tape,
Predefined process
Predefined process, subroutine, predefined process,
Prepare conditional
Prepare conditional, preparation, prepare conditional,
Process step
Process step, process step,
Reference point
Reference point, reference point,
Sequential access storage
Sequential access storage, sequential access storage,
Sort, sort,
Start (circle)
Start (circle), start,
Start (ellipse)
Start (ellipse), start,
Stickman pictogram
Stickman pictogram, stickman pictogram,
Stored data
Stored data, stored data,
Summary, summary,
Tagged document
Tagged document, tagged document, document,
Tagged process
Tagged process, tagged process,
Terminal point
Terminal point, terminal point,
Title block
Title block, title block,
Torso pictogram
Torso pictogram, torso pictogram,