This site uses cookies. By continuing to browse the ConceptDraw site you are agreeing to our Use of Site Cookies.

# 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.
Used Solutions

## Euclidean algorithm - Flowchart

"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.
Used Solutions
HelpDesk

## How to Create an Audit Flowchart

Audit flowcharts are often used in auditors activity. This is the most effective way of preparation and documentation of the audit process. Financial audit process has a clear structure, and therefore audit flowchart is often used to denote an audit process. This is the most effective way of preparation and documentation of the audit process. Flowcharts are often used in auditors activity. A flowchart may be created at any stage of an audit process as an aid in the determination and evaluation of a client's accounting system. ConceptDraw DIAGRAM allows you to create professional accounting flowchart quickly using the professional Audit Flowcharts solution.
HelpDesk

## How to Make a Workflow Diagram

With the help of a workflow diagram, you can visually describe the tasks, documents, people responsible for execution at each stage of the workflow. Modern workflow diagrams have a specific focus on quality control. This can apply to the quality of inputs and outputs related to a process, or to the actual efficiency of the workflow itself. Different sectors of business use different diagramming techniques, and this has given rise to a number of methods that have become recognized in their own right as industry standards. ConceptDraw DIAGRAM, with the Workflow Diagrams solution, is ideal for creating diagrams of this type. Its RapidDraw technology takes the strain from diagram arrangement, allowing users to create their process steps with a single click, ideal for generating the many repeatable tasks that can make up a workflow. The Workflow Diagrams solution complements this feature with a library of selected icons to represent various steps.