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# 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.
Euclid's algorithm flow chart
Used Solutions

## Euclidean algorithm - Flowchart

This HR infographics example was designed on the base of flowchart "Hiring Process" from the website of the Idaho Division of Human Resources.
"... hiring process flowchart outlining the steps to fill a vacant position." [dhr.idaho.gov/ hiringprocess.html]
"What is a hiring list and what are they for?
A hiring list consists of applicants who completed and passed the examination for a vacant classified position.
The applicants are ranked on the hiring list in order from highest to lowest score." [dhr.idaho.gov/ PDF%20 documents/ Flowchart/ Hiring%20 List%20 Guidance.pdf]
"Announcements.
Announcing a vacant position benefits the agency by allowing a wide array of applicants the opportunity to compete for job openings, resulting in a more qualified employee. The State Merit System requires all appointments, promotions and separations in the classified service to be based on competence, valid job requirements, and individual performance." [dhr.idaho.gov/ PDF%20 documents/ Flowchart/ Announcement.pdf]
"Conducting A Lawful Employment Interview.
Interviewing prospective employees is one of the most important activities employers do. The employer’s objective of an interview is to determine whether an applicant is suitable for an available position. The interview provides the employer an opportunity to obtain in-depth information about a job applicant’s skills, work history, and employment background for this purpose." [dhr.idaho.gov/ PDF%20 documents/ Flowchart/ Conducting%20 a%20 Lawful%20 Employment%20 Interview.pdf]
"Reference Checks.
References should be checked after a successful interview with a candidate, but before you offer them the position. If after interviewing there are several candidates that are qualified for the position, reference checks are also a way to further distinguish who might best fit within your agency." [dhr.idaho.gov/ PDF%20 documents/ Flowchart/ Reference%20 Checks.pdf]
"Making the job offer.
Before offering the position to your selected candidate, be sure to speak with your HR and fiscal staff. They may have some suggestions for negotiating the starting salary, etc.
Job Offer Letter.
... A job offer letter should be given to the newly hired employee after you have verbally negotiated the terms of employment. This letter confirms the conditions of employment the selected candidate has accepted and gives them information for their first day." [dhr.idaho.gov/ PDF%20 documents/ Flowchart/ Making%20 the%20 job%20 offer.pdf]
"E-verify.
To ensure compliance with the Governor’s Executive Order 2009-10, all
State Agencies are encouraged to participate in E-verify.
E-verify is an internet based system that allows an employer, using information reported on an employee’s Form I-9, to determine the eligibility of that employee to work in the United States.
The E-Verify system is operated by the U.S. Department of Homeland Security in partnership with the Social Security Administration and its use is free of charge to employers." [dhr.idaho.gov/ PDF%20 documents/ Flowchart/ EVerify%20 Statement.pdf]
"New Hire Paperwork.
There are several important forms for the new employee to fill out." [dhr.idaho.gov/ PDF%20 documents/ Flowchart/ New%20 Hire%20 Paperwork.pdf]
"Probationary Period.
All appointments and promotions into classified positions require a probationary period of 1,040 hours
except for peace officers who must serve 2,080 hours.
The probationary period is a working test period to evaluate the work performance of the employee and to determine their suitability for the position." [dhr.idaho.gov/ PDF%20 documents/ Flowchart/ Probationary%20 Period%20 for%20 Hiring%20 Process.pdf]
The HR infographics example "Hiring process workflow" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the HR Flowcharts solution from the Management area of ConceptDraw Solution Park.
HR infographics
Used Solutions

## Euclidean algorithm - Flowchart

"Telecommunication is communication at a distance by technological means, particularly through electrical signals or electromagnetic waves. ...
Electrical and electromagnetic telecommunication technologies include telegraph, telephone, and teleprinter, networks, radio, microwave transmission, fiber optics, communications satellites and the Internet." [Telecommunication. Wikipedia]
"A telecommunications service provider or TSP is a type of communications service provider that has traditionally provided telephone and similar services. This category includes incumbent local exchange carriers, competitive local exchange carriers, and mobile wireless communication companies. ...
While some people use the terms "telecom service provider" and "communications service provider" interchangeably, the term TSP generally excludes Internet service providers (ISPs), cable companies, satellite TV, and managed service providers. ...
TSPs provide access to telephone and related communications services." [Telecommunications service provider. Wikipedia]
The cross-functional flowchart example "Providing telecom services" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Cross-Functional Flowcharts solution from the Business Processes area of ConceptDraw Solution Park.
Cross-functional flow chart
Used Solutions

## ConceptDraw PRO

ConceptDraw PRO is a powerful business and technical diagramming software tool that enables you to design professional-looking graphics, diagrams, flowcharts, floor plans and much more in just minutes. Maintain business processes performance with clear visual documentation. Effectively present and communicate information in a clear and concise manner with ConceptDraw PRO.

## Euclidean algorithm - Flowchart

This flowchart example was created on the base of land sales process diagram from the Property management webpage of the VicRoads website.
"VicRoads or the Roads Corporation of Victoria is a statutory corporation which is the state road and traffic authority in the state of Victoria, Australia. It is responsible for maintenance and construction of the state arterial road network, as well as driver licensing and vehicle registration. VicRoads has broad responsibility for road safety policy and research. It is also responsible for regulating the accident towing industry in Victoria." [VicRoads. Wikipedia]
"Sales Process.
Once it has been established with the relevant VicRoads Regions/ Projects and other business areas that properties are identified as surplus to VicRoads’ operational needs, they are incorporated in the VicRoads annual sales program.
Following approval: relevant VicRoads Regional Manager and the VicRoads Chief Executive (and in some circumstances Minster for Public Transport and Roads) must approve all land deemed surplus and available for disposal.
The method of sale is then determined and consultant advice is sought:
(1) Planning.
(2) Valuer General Victoria (Valuer General’s office must provide a valuation for all sales).
(3) Government Land Monitor (Land Monitor approval is sought if the value exceeds \$750,000).
(4) Environmental.
(5) Local Council." [www.vicroads.vic.gov.au/ planning-and-projects/ property-services/ property-management]
The example "Land sales process flowchart" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Sales Flowcharts solution from the Marketing area of ConceptDraw Solution Park.
Sales process chart
Used Solutions
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