# Euclidean algorithm - Flowchart

"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. Read more

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. Read more

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## SDL Flowchart Symbols

Drawing the diagrams we try to find in help the powerful software and now we have the ConceptDraw PRO. The ability easily create the SDL diagrams is made possible thanks to unique Specification and Description Language (SDL) Solution from the Engineering Area of ConceptDraw Solution Park. This solution extends ConceptDraw PRO 2 libraries - SDL Connectors and SDL Diagrams that contain 70 predesigned SDL flowchart symbols. Read moreQUICK LINKS

## Entity Relationship Diagram Software for Mac

Great part of modern approaches to the database design are based on the use of different versions of ER-models. The important feature of entity-relationship model is that it can be visually represented as a graphical diagram. ER-models and Entity Relationship Diagrams are so popular due to the simplicity and the presentation clarity. The conceptual basis led to their widespread use in CASE-systems, which support automatic design of relational databases. The typical concepts for ER-models are entity, relation and attribute. Relation is a graphically represented association between two entities, that establishes certain rules and all instances of the linked entity types are subject to these rules. In common ER-model this association is always binary. For representing entity-relationship elements, there are used Crow’s foot and Chen notations. ConceptDraw PRO is a famous Entity Relationship Diagram software for Mac OSX which gives the ability to describe visually the databases with Chen’s and Crow’s Foot notation icons from Entity-Relationship Diagram (ERD) solution. Read moreQUICK LINKS

## Mathematics

Mathematics solution extends ConceptDraw PRO software with templates, samples and libraries of vector stencils for drawing the mathematical illustrations, diagrams and charts. Read more

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## SWOT Template

The SWOT and TOWS Matrix Diagrams solution from the ConceptDraw Solution Park gives a simple visual support for all steps of a SWOT analysis process, which is a popular strategic planning method used to evaluate the Strengths, Weaknesses, as well as Opportunities and Threats facing a project. Strengths are the project's characteristics giving it the advantages over the others, weaknesses are the characteristics placing the team at the disadvantage relatively to others, opportunities are the elements that the project can exploit to its advantage and threats are the elements that can cause the troubles. The results of a correctly performed SWOT analysis help to achieve effectively the main objective. The SWOT templates included to SWOT and TOWS Matrix Diagrams solution for ConceptDraw PRO visually support the identifying of internal and external factors that are favorable or unfavorable. Making the SWOT analysis and completing the SWOT Matrix by simple filling a SWOT template, you can then export it to large variety of available formats: PowerPoint presentation, PDF, image files, and others. Read moreGET MY CONCEPTDRAW SOFTWARE

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