"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.

## Basic Flowchart Symbols and Meaning

Flowchart Symbols and Meaning - Provides a visual representation of basic flowchart symbols and their proposed use in professional workflow diagram, standard process flow diagram and communicating the structure of a well-developed web site, as well as their correlation in developing on-line instructional projects. See flowchart's symbols by specifics of process flow diagram symbols and workflow diagram symbols."In elementary algebra, a quadratic equation (from the Latin quadratus for "square") is any equation having the form

ax^2+bx+c=0

where x represents an unknown, and a, b, and c are constants with a not equal to 0. If a = 0, then the equation is linear, not quadratic. The constants a, b, and c are called, respectively, the quadratic coefficient, the linear coefficient and the constant or free term.

Because the quadratic equation involves only one unknown, it is called "univariate". The quadratic equation only contains powers of x that are non-negative integers, and therefore it is a polynomial equation, and in particular it is a second degree polynomial equation since the greatest power is two.

Quadratic equations can be solved by a process known in American English as factoring and in other varieties of English as factorising, by completing the square, by using the quadratic formula, or by graphing." [Quadratic equation. Wikipedia]

The flowchart example "Solving quadratic equation 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.

ax^2+bx+c=0

where x represents an unknown, and a, b, and c are constants with a not equal to 0. If a = 0, then the equation is linear, not quadratic. The constants a, b, and c are called, respectively, the quadratic coefficient, the linear coefficient and the constant or free term.

Because the quadratic equation involves only one unknown, it is called "univariate". The quadratic equation only contains powers of x that are non-negative integers, and therefore it is a polynomial equation, and in particular it is a second degree polynomial equation since the greatest power is two.

Quadratic equations can be solved by a process known in American English as factoring and in other varieties of English as factorising, by completing the square, by using the quadratic formula, or by graphing." [Quadratic equation. Wikipedia]

The flowchart example "Solving quadratic equation 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.

## Types of Flowcharts

A Flowchart is a graphically representation of the process, algorithm or the step-by-step solution of the problem. There are ten types of Flowcharts. Using the Flowcharts solution from the Diagrams area of ConceptDraw Solution Park you can easy and quickly design the Flowchart of any of these types.## Diagram Flow Chart

ConceptDraw DIAGRAM is a software for producing flow charts. The software delivers built-in object libraries with vector stencils that allows you to use RapidDraw technology. By clicking on direction arrows one can add a new object to flowchart. Users can start drawing their own flowchart diagrams in fast and simple way.## Flowchart Components

The ConceptDraw Flowchart component includes a set of samples and templates. This geathered as flowchart maker toolbox which focused on drawing flowcharts of any industry standards."In mathematics and computer science, an algorithm ... is a step-by-step procedure for calculations. Algorithms are used for calculation, data processing, and automated reasoning.

An algorithm is an effective method expressed as a finite list of well-defined instructions for calculating a function. Starting from an initial state and initial input (perhaps empty), the instructions describe a computation that, when executed, proceeds through a finite number of well-defined successive states, eventually producing "output" and terminating at a final ending state. The transition from one state to the next is not necessarily deterministic; some algorithms, known as randomized algorithms, incorporate random input." [Algorithm. Wikipedia]

The algorithm flow chart example "Selection sorting method" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Flowcharts solution from the area "What is a Diagram" of ConceptDraw Solution Park.

An algorithm is an effective method expressed as a finite list of well-defined instructions for calculating a function. Starting from an initial state and initial input (perhaps empty), the instructions describe a computation that, when executed, proceeds through a finite number of well-defined successive states, eventually producing "output" and terminating at a final ending state. The transition from one state to the next is not necessarily deterministic; some algorithms, known as randomized algorithms, incorporate random input." [Algorithm. Wikipedia]

The algorithm flow chart example "Selection sorting method" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Flowcharts solution from the area "What is a Diagram" of ConceptDraw Solution Park.

## Flowchart design. Flowchart symbols, shapes, stencils and icons

A flowchart is a type of diagram that represents an algorithm, workflow or process, showing the steps as boxes of various kinds - flowchart symbols, and their order by connecting them with arrows.Mavericks have always desired to stand apart and gorgeous design is the recipe for that. Any business graphic document will be more understandable if will use an expository color scheme for their parts. Flowchart design makes versatile presenting and explaining of the process and gives a fresh view that distinguishes it from black and white flowcharts on a paper. Workflow diagram or process flow diagrams become more understandable to ordinary people when it use minimum symbols and special signs.

The best design can be accomplished by starting from any of the suitable Conceptdraw examples. Pick one of them and begin to input proper text into each Flowchart symbols and shapes. Apply less colors in the document and don't turn into rainbow your diagram, three or four will be enough, also note that business process flowchart may not contain bright color hues. The next clue is to use identical colors for same flowchart shape types.

## Technical Flow Chart

Flow chart is a diagrammatic representation of an algorithm and essential part of planning the system. Flow charts are widely used in technical analysis and programming for easy writing programs and explaining them to others. So, one of the most popular type of flow charts is Technical Flow Chart.Technical Flow Chart can be drawn by pencil on the paper, but it will be easier to use for designing a special software. ConceptDraw DIAGRAM diagramming and vector drawing software extended with Flowcharts Solution from the "Diagrams" Area of ConceptDraw Solution Park will be useful for this goal.

## Flow Chart Design - How to Design a Good Flowchart

Use ConceptDraw DIAGRAM business diagramming and business graphics software for general diagramming purposes, it inludes tousands colored professional flowchart symbols, examples and samples which saves time when you prepare documents, professional presentations or make an explanation of process flow diagram.- Algorithm Flowchart Download Free Draw
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