"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.
HelpDesk
How to Create a Timeline Diagram in ConceptDraw PRO
A Timeline is a chart which displays a project plan schedule in chronological order. A Timeline is used in project management to depict project milestones and visualize project phases, and show project progress. The graphic form of a timeline makes it easy to understand critical project milestones, such as the progress of a project schedule. Timelines are particularly useful for project scheduling or project management when accompanied with a Gantt chart. It captures the main of what the project will accomplish and how it will be done. making a project timeline is one of the most important skills a project manager needs have. Making comprehensive, accurate timelines allows you getting every project off in the best way. ConceptDraw PRO allows you to draw a timeline charts using special library.HelpDesk
How to Track Your Project Plan vs. the Actual Project Condition
Conceptdraw PROJECT provides user with the possibility to track how the project is going. Project Manager can compare the actual data with the planned and assess possible measures to resolve issues. Conceptdraw PROJECT has several types of visual reports that can help to assess visually the difference between planned and actual project data.HelpDesk
How to Use the Effort-Driven Scheduling Method
Effort-driven scheduling is the default method of project scheduling in ConceptDraw PROJECT.HelpDesk
How to Operate a Multiple Main Idea on Your Mind Map
If you are using multiple Main Ideas your maps, it is necessary to know that there is a difference in behavior between the original primary Main Idea and the other Ideas you add.HelpDesk
How to Create a Bank ATM Use Case Diagram
UML diagrams are often used in banking management for documenting a banking system. In particular, the interaction of bank customers with an automated teller machine (ATM) can be represented in a Use Case diagram. Before the software code for an ATM, or any other system design, is written, it is necessary to create a visual representation of any object-oriented processes. This is done most effectively by creating a Unified Modeling Language (UML) diagram, using object-oriented modeling. UML works as a general purpose modeling language for software engineers or system analysts, offering a number of different diagram styles with which to visually depict all aspects of a software system. ConceptDraw PRO diagramming software, enhanced and expanded with the ATM UML Diagrams solution, offers the full range of icons, templates and design elements needed to faithfully represent ATM and banking information system architecture using UML standards. The ATM UML Diagrams solution is useful for beginner and advanced users alike. More experienced users will appreciate a full range of vector stencil libraries and ConceptDraw PRO's powerful software, that allows you to create your ATM UML diagram in a matter of moments.- Difference Between Algorithm And Flowchart
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