- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# C++ Program for the Common Divisors of Two Numbers?

The common divisor of two numbers are the numbers that are divisors of both of them.

For example,

The divisors of 12 are 1, 2, 3, 4, 6, 12.

The divisors of 18are 1, 2, 3, 6, 9, 18.

Thus, the common divisors of 12 and 18 are 1, 2, 3, 6.

The greatest among these is, perhaps unsurprisingly, called the greatest common divisor of 12 and 18. The usual mathematical notation for the greatest common divisor of two integers a and b are denoted by (a, b). Hence, (12, 18) = 6.

The greatest common divisor is important for many reasons. For example, it can be used to calculate the LCM of two numbers, i.e., the smallest positive integer that is a multiple of these numbers. The least common multiple of the numbers a and b can be calculated as ab(a, b).

For example, the least common multiple of 12 and 18 is 12·18(12, 18) =12 · 18.6

Input: a = 10, b = 20 Output: 1 2 5 10 // all common divisors are 1 2 5 10

**Explanation **

Integers that can exactly divide both numbers (without a remainder).

## Example

#include <iostream> using namespace std; int main() { int n1, n2, i; n1=10; n2=20; for(i=1; i <= n1 && i <= n2; ++i) { if(n1%i==0 && n2%i==0) { cout<<i<<"\t"; } } }

- Related Questions & Answers
- C++ Program for Common Divisors of Two Numbers?
- Python Program for Common Divisors of Two Numbers
- Java Program for Common Divisors of Two Numbers
- Program to count number of common divisors of two numbers in Python
- Print the kth common factor of two numbers
- Write a program to calculate the least common multiple of two numbers JavaScript
- Greatest common divisors in Python
- Count the number of common divisors of the given strings in C++
- Check if sum of divisors of two numbers are same in Python
- Count common prime factors of two numbers in C++
- Function to calculate the least common multiple of two numbers in JavaScript
- JavaScript Program for find common elements in two sorted arrays
- Position of rightmost common bit in two numbers in C++
- Program to find the common ratio of three numbers in C++
- Count of common multiples of two numbers in a range in C++