This tool calculates the greatest common divisor of two numbers using the Euclidean algorithm.
Euclidean Algorithm Calculator
This calculator is used to find the Greatest Common Divisor (GCD) of two numbers using the Euclidean Algorithm.
How to Use
1. Enter the first number in the field labeled ‘Enter first number (a)’.
2. Enter the second number in the field labeled ‘Enter second number (b)’.
3. Click the ‘Calculate’ button to compute the GCD of the two numbers.
4. The GCD will be displayed in the ‘Result’ field.
Explanation
The Euclidean algorithm is a method for finding the greatest common divisor (GCD) of two numbers by repeatedly applying the division algorithm. The steps are:
- Take two numbers, a and b, with a > b.
- Compute a modulo b, that is, find the remainder when a is divided by b.
- Replace a with b and b with the remainder from the previous step.
- Repeat the process until b becomes 0. The GCD is the non-zero remainder from the previous step.
Limitations
- This calculator only works for non-negative integers.
- If either of the input fields is empty or contains a non-integer value, the calculator will not function correctly.