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Stdlib Authors","url":"https://github.com/stdlib-js/stdlib/graphs/contributors"},"license":"Apache-2.0","homepage":"https://stdlib.io","keywords":["stdlib","stdmath","math","mathematics","euclid","euclidean","stein","binary gcd","greatest common divisor","greatest common factor","highest common factor","greatest common measure","highest common divisor","gcd","gcf","hcf","gcm","arithmetic","integer"],"repository":{"type":"git","url":"git://github.com/stdlib-js/math-base-special-gcd.git"},"description":"Compute the greatest common divisor (gcd).","contributors":[{"name":"The Stdlib Authors","url":"https://github.com/stdlib-js/stdlib/graphs/contributors"}],"maintainers":[{"name":"stdlib-bot","email":"kgryte+stdlibbot@gmail.com"},{"name":"kgryte","email":"kgryte@gmail.com"},{"name":"planeshifter","email":"pgb@andrew.cmu.edu"},{"name":"rreusser","email":"rsreusser@gmail.com"}],"readme":"<!--\n\n@license Apache-2.0\n\nCopyright (c) 2018 The Stdlib Authors.\n\nLicensed under the Apache License, Version 2.0 (the \"License\");\nyou may not use this file except in compliance with the License.\nYou may obtain a copy of the License at\n\n   http://www.apache.org/licenses/LICENSE-2.0\n\nUnless required by applicable law or agreed to in writing, software\ndistributed under the License is distributed on an \"AS IS\" BASIS,\nWITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\nSee the License for the specific language governing permissions and\nlimitations under the License.\n\n-->\n\n\n<details>\n  <summary>\n    About stdlib...\n  </summary>\n  <p>We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.</p>\n  <p>The library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.</p>\n  <p>When you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there.</p>\n  <p>To join us in bringing numerical computing to the web, get started by checking us out on <a href=\"https://github.com/stdlib-js/stdlib\">GitHub</a>, and please consider <a href=\"https://opencollective.com/stdlib\">financially supporting stdlib</a>. We greatly appreciate your continued support!</p>\n</details>\n\n# gcd\n\n[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url] <!-- [![dependencies][dependencies-image]][dependencies-url] -->\n\n> Compute the [greatest common divisor][gcd] (gcd).\n\n<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->\n\n<section class=\"intro\">\n\nThe [greatest common divisor][gcd] (gcd) of two non-zero integers `a` and `b` is the largest positive integer which divides both `a` and `b` without a remainder. The gcd is also known as the **greatest common factor** (gcf), **highest common factor** (hcf), **highest common divisor**, and **greatest common measure** (gcm).\n\n</section>\n\n<!-- /.intro -->\n\n<!-- Package usage documentation. -->\n\n<section class=\"installation\">\n\n## Installation\n\n```bash\nnpm install @stdlib/math-base-special-gcd\n```\n\n</section>\n\n<section class=\"usage\">\n\n## Usage\n\n```javascript\nvar gcd = require( '@stdlib/math-base-special-gcd' );\n```\n\n#### gcd( a, b )\n\nComputes the [greatest common divisor][gcd] (gcd).\n\n```javascript\nvar v = gcd( 48, 18 );\n// returns 6\n```\n\nIf both `a` and `b` are `0`, the function returns `0`.\n\n```javascript\nvar v = gcd( 0, 0 );\n// returns 0\n```\n\nBoth `a` and `b` must have integer values; otherwise, the function returns `NaN`.\n\n```javascript\nvar v = gcd( 3.14, 18 );\n// returns NaN\n\nv = gcd( 48, 3.14 );\n// returns NaN\n\nv = gcd( NaN, 18 );\n// returns NaN\n\nv = gcd( 48, NaN );\n// returns NaN\n```\n\n</section>\n\n<!-- /.usage -->\n\n<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->\n\n<section class=\"notes\">\n\n</section>\n\n<!-- /.notes -->\n\n<!-- Package usage examples. -->\n\n<section class=\"examples\">\n\n## Examples\n\n<!-- eslint no-undef: \"error\" -->\n\n```javascript\nvar discreteUniform = require( '@stdlib/random-array-discrete-uniform' );\nvar logEachMap = require( '@stdlib/console-log-each-map' );\nvar gcd = require( '@stdlib/math-base-special-gcd' );\n\nvar opts = {\n    'dtype': 'float64'\n};\nvar a = discreteUniform( 100, 0, 50, opts );\nvar b = discreteUniform( a.length, 0, 50, opts );\n\nlogEachMap( 'gcd(%d,%d) = %d', a, b, gcd );\n```\n\n</section>\n\n<!-- /.examples -->\n\n<!-- C interface documentation. -->\n\n* * *\n\n<section class=\"c\">\n\n## C APIs\n\n<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->\n\n<section class=\"intro\">\n\n</section>\n\n<!-- /.intro -->\n\n<!-- C usage documentation. -->\n\n<section class=\"usage\">\n\n### Usage\n\n```c\n#include \"stdlib/math/base/special/gcd.h\"\n```\n\n#### stdlib_base_gcd( a, b )\n\nComputes the greatest common divisor (gcd).\n\n```c\ndouble v = stdlib_base_gcd( 48.0, 18.0 );\n// returns 6.0\n```\n\nThe function accepts the following arguments:\n\n-   **a**: `[in] double` input value.\n-   **b**: `[in] double` input value.\n\n```c\ndouble stdlib_base_gcd( const double a, const double b );\n```\n\n</section>\n\n<!-- /.usage -->\n\n<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->\n\n<section class=\"notes\">\n\n</section>\n\n<!-- /.notes -->\n\n<!-- C API usage examples. -->\n\n<section class=\"examples\">\n\n### Examples\n\n```c\n#include \"stdlib/math/base/special/gcd.h\"\n#include <stdio.h>\n\nint main( void ) {\n    const double a[] = { 24.0, 32.0, 48.0, 116.0, 33.0 };\n    const double b[] = { 12.0, 6.0, 15.0, 52.0, 22.0 };\n\n    double out;\n    int i;\n    for ( i = 0; i < 5; i++ ) {\n        out = stdlib_base_gcd( a[ i ], b[ i ] );\n        printf( \"gcd(%lf, %lf) = %lf\\n\", a[ i ], b[ i ], out );\n    }\n}\n```\n\n</section>\n\n<!-- /.examples -->\n\n</section>\n\n<!-- /.c -->\n\n<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->\n\n<section class=\"references\">\n\n## References\n\n-   Stein, Josef. 1967. \"Computational problems associated with Racah algebra.\" _Journal of Computational Physics_ 1 (3): 397–405. doi:[10.1016/0021-9991(67)90047-2][@stein:1967].\n\n</section>\n\n<!-- /.references -->\n\n<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->\n\n<section class=\"related\">\n\n* * *\n\n## See Also\n\n-   <span class=\"package-name\">[`@stdlib/math-base/special/lcm`][@stdlib/math/base/special/lcm]</span><span class=\"delimiter\">: </span><span class=\"description\">compute the least common multiple (lcm).</span>\n\n</section>\n\n<!-- /.related -->\n\n<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->\n\n\n<section class=\"main-repo\" >\n\n* * *\n\n## Notice\n\nThis package is part of [stdlib][stdlib], a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.\n\nFor more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib].\n\n#### Community\n\n[![Chat][chat-image]][chat-url]\n\n---\n\n## License\n\nSee [LICENSE][stdlib-license].\n\n\n## Copyright\n\nCopyright &copy; 2016-2026. The Stdlib [Authors][stdlib-authors].\n\n</section>\n\n<!-- /.stdlib -->\n\n<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->\n\n<section class=\"links\">\n\n[npm-image]: http://img.shields.io/npm/v/@stdlib/math-base-special-gcd.svg\n[npm-url]: https://npmjs.org/package/@stdlib/math-base-special-gcd\n\n[test-image]: https://github.com/stdlib-js/math-base-special-gcd/actions/workflows/test.yml/badge.svg?branch=v0.3.2\n[test-url]: https://github.com/stdlib-js/math-base-special-gcd/actions/workflows/test.yml?query=branch:v0.3.2\n\n[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/math-base-special-gcd/main.svg\n[coverage-url]: https://codecov.io/github/stdlib-js/math-base-special-gcd?branch=main\n\n<!--\n\n[dependencies-image]: https://img.shields.io/david/stdlib-js/math-base-special-gcd.svg\n[dependencies-url]: https://david-dm.org/stdlib-js/math-base-special-gcd/main\n\n-->\n\n[chat-image]: https://img.shields.io/badge/zulip-join_chat-brightgreen.svg\n[chat-url]: https://stdlib.zulipchat.com\n\n[stdlib]: https://github.com/stdlib-js/stdlib\n\n[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors\n\n[umd]: https://github.com/umdjs/umd\n[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules\n\n[deno-url]: https://github.com/stdlib-js/math-base-special-gcd/tree/deno\n[deno-readme]: https://github.com/stdlib-js/math-base-special-gcd/blob/deno/README.md\n[umd-url]: https://github.com/stdlib-js/math-base-special-gcd/tree/umd\n[umd-readme]: https://github.com/stdlib-js/math-base-special-gcd/blob/umd/README.md\n[esm-url]: https://github.com/stdlib-js/math-base-special-gcd/tree/esm\n[esm-readme]: https://github.com/stdlib-js/math-base-special-gcd/blob/esm/README.md\n[branches-url]: https://github.com/stdlib-js/math-base-special-gcd/blob/main/branches.md\n\n[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/math-base-special-gcd/main/LICENSE\n\n[gcd]: https://en.wikipedia.org/wiki/Greatest_common_divisor\n\n[@stein:1967]: https://doi.org/10.1016/0021-9991(67)90047-2\n\n<!-- <related-links> -->\n\n[@stdlib/math/base/special/lcm]: https://www.npmjs.com/package/@stdlib/math-base-special-lcm\n\n<!-- </related-links> -->\n\n</section>\n\n<!-- /.links -->\n","readmeFilename":"README.md"}