Learn How to Find the GCD Using the Euclidean Algorithm in Python 🧮

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the euclidean algorithm is an efficient method for finding the greatest common divisor (gcd) of two numbers. the algorithm works by repeatedly applying the division remainder operation until the remainder becomes zero. at that point, the divisor of the last division operation is the gcd of the two original numbers.

here is a step-by-step breakdown of the euclidean algorithm:

1. given two numbers, a and b, where a is greater than or equal to b.
2. divide a by b and compute the remainder, r.
3. set a = b and b = r.
4. repeat steps 2 and 3 until the remainder becomes zero.
5. the gcd is the last non-zero remainder, which is stored in variable a.

now, let's implement the euclidean algorithm in python:



in this code example, we define a function `euclidean_algorithm` that takes two input numbers, `a` and `b`, and calculates their gcd using the euclidean algorithm. the function iterates through the algorithm steps until the remainder becomes zero and then returns the gcd.

you can test the code by providing different numbers for `num1` and `num2` to see how the euclidean algorithm efficiently computes the gcd of the given numbers.

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