# Program to find GCD of floating point numbers

The greatest common divisor (GCD) of two or more numbers, which are not all zero, is the largest positive number that divides each of the numbers. **Example:**

Input : 0.3, 0.9 Output : 0.3 Input : 0.48, 0.108 Output : 0.012

The simplest approach to solve this problem is :**a=1.20** **b=22.5**

Expressing each of the numbers without decimals as the product of primes we get:**120****2250**

Now, H.C.F. of 120 and 2250 = 2*3*5=30 **Therefore,the H.C.F. of 1.20 and 22.5=0.30 **

(taking 2 decimal places)

We can do this using the Euclidean algorithm. This algorithm indicates that if the smaller number is subtracted from a bigger number, GCD of two numbers doesnâ€™t change.

## C++

`// CPP code for finding the GCD of two floating` `// numbers.` `#include <bits/stdc++.h>` `using` `namespace` `std;` `// Recursive function to return gcd of a and b` `double` `gcd(` `double` `a, ` `double` `b)` `{` ` ` `if` `(a < b)` ` ` `return` `gcd(b, a);` ` ` `// base case` ` ` `if` `(` `fabs` `(b) < 0.001)` ` ` `return` `a;` ` ` `else` ` ` `return` `(gcd(b, a - ` `floor` `(a / b) * b));` `}` `// Driver Function.` `int` `main()` `{` ` ` `double` `a = 1.20, b = 22.5;` ` ` `cout << gcd(a, b);` ` ` `return` `0;` `}` |

## Java

`// JAVA code for finding the GCD of ` `// two floating numbers.` `import` `java.io.*;` `class` `GFG {` ` ` ` ` `// Recursive function to return gcd ` ` ` `// of a and b` ` ` `static` `double` `gcd(` `double` `a, ` `double` `b)` ` ` `{` ` ` `if` `(a < b)` ` ` `return` `gcd(b, a);` ` ` ` ` `// base case` ` ` `if` `(Math.abs(b) < ` `0.001` `)` ` ` `return` `a;` ` ` ` ` `else` ` ` `return` `(gcd(b, a - ` ` ` `Math.floor(a / b) * b));` ` ` `}` ` ` ` ` `// Driver Function.` ` ` `public` `static` `void` `main(String args[])` ` ` `{` ` ` `double` `a = ` `1.20` `, b = ` `22.5` `;` ` ` `System.out.printf(` `"%.1f"` `,gcd(a, b));` ` ` `}` `}` `/*This code is contributed by Nikita Tiwari.*/` |

## Python

`# Python code for finding the GCD of` `# two floating numbers.` `import` `math` `# Recursive function to return gcd ` `# of a and b` `def` `gcd(a,b) :` ` ` `if` `(a < b) :` ` ` `return` `gcd(b, a)` ` ` ` ` `# base case` ` ` `if` `(` `abs` `(b) < ` `0.001` `) :` ` ` `return` `a` ` ` `else` `:` ` ` `return` `(gcd(b, a ` `-` `math.floor(a ` `/` `b) ` `*` `b))` ` ` ` ` `# Driver Function.` `a ` `=` `1.20` `b ` `=` `22.5` `print` `(` `'{0:.1f}'` `.` `format` `(gcd(a, b)))` `# This code is contributed by Nikita Tiwari.` |

## C#

`// C# code for finding the GCD of ` `// two floating numbers.` `using` `System;` `class` `GFG {` ` ` ` ` `// Recursive function to return gcd ` ` ` `// of a and b` ` ` `static` `float` `gcd(` `double` `a, ` `double` `b)` ` ` `{` ` ` `if` `(a < b)` ` ` `return` `gcd(b, a);` ` ` ` ` `// base case` ` ` `if` `(Math.Abs(b) < 0.001)` ` ` `return` `(` `float` `)a;` ` ` ` ` `else` ` ` `return` `(` `float` `)(gcd(b, a - ` ` ` `Math.Floor(a / b) * b));` ` ` `}` ` ` ` ` `// Driver Function.` ` ` `public` `static` `void` `Main()` ` ` `{` ` ` `double` `a = 1.20, b = 22.5;` ` ` `Console.WriteLine(gcd(a, b));` ` ` `}` `}` `// This code is contributed by vt_m.` |

## PHP

`<?php` `// PHP code for finding the GCD` `// of two floating numbers.` `// Recursive function to ` `// return gcd of a and b` `function` `gcd(` `$a` `, ` `$b` `)` `{` ` ` `if` `(` `$a` `< ` `$b` `)` ` ` `return` `gcd(` `$b` `, ` `$a` `);` ` ` `// base case` ` ` `if` `(` `abs` `(` `$b` `) < 0.001)` ` ` `return` `$a` `;` ` ` `else` ` ` `return` `(gcd(` `$b` `, ` `$a` `-` ` ` `floor` `(` `$a` `/ ` `$b` `) * ` `$b` `));` `}` `// Driver Code` `$a` `= 1.20;` `$b` `= 22.5;` `echo` `gcd(` `$a` `, ` `$b` `);` `// This code is contributed` `// by aj_36` `?>` |

## Javascript

`<script>` `// javascript code for finding the GCD of ` `// two floating numbers.` ` ` `// Recursive function to return gcd` ` ` `// of a and b` ` ` `function` `gcd(a , b)` ` ` `{` ` ` `if` `(a < b)` ` ` `return` `gcd(b, a);` ` ` `// base case` ` ` `if` `(Math.abs(b) < 0.001)` ` ` `return` `a;` ` ` `else` ` ` `return` `(gcd(b, a - Math.floor(a / b) * b));` ` ` `}` ` ` `// Driver Function. ` ` ` `var` `a = 1.20, b = 22.5;` ` ` `document.write( gcd(a, b).toFixed(1));` `// This code is contributed by aashish1995 ` `</script>` |

**Output:**

0.3

**Time Complexity:** O(log n) **Auxiliary Space:** O(log n)

This article is contributed by **Aarti_Rath**i and **Abhishek Sharma**. If you like GeeksforGeeks and would like to contribute, you can also write an article using write.geeksforgeeks.org or mail your article to review-team@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

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