"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.
Example Basic Flowchart. Flowchart Examples
This sample shows the Flowchart that displays the process of the achievement the consensus, in other words solving for the acceptable solution. This Flowchart has start point. The rectangles on it represent the steps of the process and are connected with arrows that show the sequence of the actions. The diamonds with yes/no shows the decisions. The Flowcharts are widely used in marketing, business, analytics, government, politics, engineering, architecture, science, manufacturing, administration, etc.Credit Card Order Process Flowchart. Flowchart Examples
This sample was created in ConceptDraw DIAGRAM diagramming and vector drawing software using the Flowcharts solution from the Diagrams area of ConceptDraw Solution Park. This sample shows the Flowchart of the Credit Card Order Process. On this diagram are used the flowchart symbols that represents the processes and documents. The flowchart symbols are connected with arrows.Swim Lane Diagrams
Swim Lane Diagrams are the kind of process flow diagrams and effective tool for documenting the business processes required for any business company for its productive work, for easy defining the weak points, reasons of defects, or delays during the process. Swim Lane Diagram is based on the IDEF3 standard and was developed primarily for using in projecting. Its name derives from the use of horizontal or vertical lanes. The blocks that denote the parts of the processes are arranged within definite lanes according to the belonging to responsible worker. So the process of any complexity is visually divided into the parts and represented with indication the responsibility for execution of each part. This significantly facilitates the comprehension of its work. Use the ConceptDraw DIAGRAM software and predesigned vector objects from the Swim Lanes library of Business Process Mapping Solution included to ConceptDraw Solution Park to easy develop Swim Lanes Flowcharts and Diagrams, for modeling and documenting the business processes in a simple and visual graphic form.Flowchart Symbols Accounting. Activity-based costing (ABC) flowchart
The Accounting Flowcharts are helpful and popular kind of flowcharts in a field of business, finance and accounting. The ConceptDraw DIAGRAM diagramming software enhanced with Accounting Flowcharts solution from the Finance and Accounting area of ConceptDraw Solution Park is extremely comfortable for visually explaining the accounting processes and for designing Accounting Flowcharts and Accounting Process Flow Diagrams of any complexity. The library of vector design elements included to Accounting Flowcharts solution provides you with major accounting flowchart symbols, which make the drawing process incredibly easy and convenient. The use of them for designing of such sort of Accounting Flowcharts as the Activity-based costing (ABC) flowcharts will simplify the drawing process and will allow to make these flowcharts in a few minutes in ConceptDraw DIAGRAM. Design easily your own ABC flowcharts to demonstrate in details the relations and logics of activity-based distribution the costs between the company's units and departments.How To Use Collaboration Tool in Project Management
Collaboration tool for project management enables you to give a new role to knowledge management and document sharing within your team.Flowchart Examples and Templates
ConceptDraw DIAGRAM ector diagramming software and ConceptDraw Solution Park provide a wide variety of diagrams, organizational charts, business charts and flowchart examples, templates and samples. You are free to choose any example or template you are interested in from the ConceptDraw STORE, then use it to simplify your work at the designing professional-looking flowcharts and diagrams. As for flowcharts, turn your attention for the Flowcharts solution from the "Diagrams" area of ConceptDraw Solution Park, Process Flowcharts and Cross-Functional Flowcharts solutions from the Business Processes area, Accounting Flowcharts and Audit Flowcharts solutions from the Finance and Accounting area, which are completely devoted to flowcharts creation and provide an enormous collection of helpful flowchart templates and samples. Each of them is specially developed, well thought-out, dedicated to a certain thematic and carries a specific purpose. You need only to determine with your needs and to decide which one corresponds them the best and suits for you.- Flow Chart For Greatest Common Division Of Two Numbers
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