# 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

GET MY CONCEPTDRAW SOFTWARE

"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. Read more

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. Read more

QUICK LINKS

The vector stencils library "Process flowchart" contains 9 flow chart symbols.

Use it to design your process flowcharts with ConceptDraw PRO diagramming and vector drawing software.

"A flowchart is a type of diagram that represents an algorithm, workflow or process, showing the steps as boxes of various kinds, and their order by connecting them with arrows. ...

Kaoru Ishikawa defined the flowchart as one of the seven basic tools of quality control, next to the histogram, Pareto chart, check sheet, control chart, cause-and-effect diagram, and the scatter diagram. ...

Common alternative names include: flowchart, process flowchart, functional flowchart, process map, process chart, functional process chart, business process model, process model, process flow diagram, work flow diagram, business flow diagram. The terms "flowchart" and "flow chart" are used interchangeably." [Flowchart. Wikipedia]

The example of flow chart symbols "Design elements - Process flowchart" is included in the Seven Basic Tools of Quality solution from the Quality area of ConceptDraw Solution Park. Read more

Use it to design your process flowcharts with ConceptDraw PRO diagramming and vector drawing software.

"A flowchart is a type of diagram that represents an algorithm, workflow or process, showing the steps as boxes of various kinds, and their order by connecting them with arrows. ...

Kaoru Ishikawa defined the flowchart as one of the seven basic tools of quality control, next to the histogram, Pareto chart, check sheet, control chart, cause-and-effect diagram, and the scatter diagram. ...

Common alternative names include: flowchart, process flowchart, functional flowchart, process map, process chart, functional process chart, business process model, process model, process flow diagram, work flow diagram, business flow diagram. The terms "flowchart" and "flow chart" are used interchangeably." [Flowchart. Wikipedia]

The example of flow chart symbols "Design elements - Process flowchart" is included in the Seven Basic Tools of Quality solution from the Quality area of ConceptDraw Solution Park. Read more

QUICK LINKS

- Difference Between Algorithm And Flowchart Wikipedia
- Euclidean algorithm - Flowchart | Euclid Wikipedia
- Difference Between Algorithm And Flowchart With Example
- 1 Differentiate Between Algorithm And Flowchart Wikipedia
- Difference Between Flowchart And Pseudocode In Wikipedia
- Difference Between Flowchat And Pseudo Code Wikipedia
- Difference Between Algorithm And Flow C
- Difference Between Flowchart And Algorithm
- Different Between Algorithm And Flowchart
- Draw Difference Between Algorithm And Flow Chart Through Example
- Wikipedia Flowchart
- Cross Functional Flowchart Wikipedia
- How Wikipedia Is Create Flowchart
- Solving quadratic equation algorithm - Flowchart
- Draw Difference Between Algorithm And Flowchart With Suitable
- Element Of Flowchart Wikipedia
- What Is The Difference Between Flowchart And Algorithm
- A Flowchart To Show How Wikipedia Is Created
- Defrence Between Flow Chart Or Algorithm
- Flowchart And Algorithms Wikipedia
- ERD | Entity Relationship Diagrams, ERD Software for Mac and Win
- Flowchart | Basic Flowchart Symbols and Meaning
- Flowchart | Flowchart Design - Symbols, Shapes, Stencils and Icons
- Flowchart | Flow Chart Symbols
- Electrical | Electrical Drawing - Wiring and Circuits Schematics
- Flowchart | Common Flowchart Symbols
- Flowchart | Common Flowchart Symbols