"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.
Euclid's algorithm flow chart
Mathematics
Mathematics is simply essential in many fields, such as natural science, medicine, finance, the social sciences, and engineering. Mathematicians often face the need for creating the mathematical drawings in order to explain different theories and equations. In order to make such illustrations, the ConceptDraw DIAGRAM diagramming and drawing software may be used. The Mathematics solution can be used while working in the ConceptDraw DIAGRAM application using its pre-made samples, templates, and vector shape libraries of both solid and plane geometric figures, trigonometrical functions and mathematical symbols. It may help many mathematicians to create numeral mathematical diagrams, mathematic illustrations and tape diagrams for either scientific or educational, or both purposes.
"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.
Solving quadratic equation flow chart
The vector stencils library "Plane geometry" contains 27 plane geometric figures.
Use these shapes to draw your geometrical diagrams and illustrations in the ConceptDraw PRO diagramming and vector drawing software extended with the Mathematics solution from the Science and Education area of ConceptDraw Solution Park.
Use these shapes to draw your geometrical diagrams and illustrations in the ConceptDraw PRO diagramming and vector drawing software extended with the Mathematics solution from the Science and Education area of ConceptDraw Solution Park.
Circular sector
Right triangle
Rectangle
Square
Pentagon
Isosceles trapezium
Parallelogram
Trapezium
Three-pointed star
Four-pointed star
Five-pointed star
Six-pointed star
Seven-pointed star
Eight-pointed star
Triangle
Equilateral triangle
Right triangle 2
Right triangle, angle box
Right triangle 3
Hexagon
Regular hexagon
Regular pentagon
Regular heptagon
Regular octagon
Rhombus
Circle
Ellipse
- Euclidean algorithm - Flowchart | Mathematics | Maths Vs Computer ...
- Euclidean algorithm - Flowchart | Flowchart For Finding Gcd Of Two ...
- | Euclidean algorithm - Flowchart | Data structure diagram with ...
- Euclidean algorithm - Flowchart | Drawn A Flowchart Diagram To ...
- Euclidean algorithm - Flowchart | Make A Flowchart To Elaborate ...
- Euclidean algorithm - Flowchart | Euclid Wikipedia
- Euclidean algorithm - Flowchart | Algorithm And Flowchart For Gcd
- Flowchart Programming Project. Flowchart Examples | Euclidean ...
- Euclidean algorithm - Flowchart | Represent Euclids Division ...
- Euclidean algorithm - Flowchart | Explanation Of Flow Chart Of ...
