Sure! Here’s a step-by-step algorithm for the Euclidean division algorithm:

Inputs: Two positive integers “a” and “b” (where a > b).

1. Set variables “dividend” to “a” and “divisor” to “b”.
2. While the remainder is not zero, repeat steps 3-5:
3. Set the quotient “quotient” to the integer division of “dividend” by “divisor” (quotient = dividend // divisor).
4. Set the remainder “remainder” to the modulus of “dividend” by “divisor” (remainder = dividend % divisor).
5. Set “dividend” to the value of “divisor” and “divisor” to the value of “remainder”.
6. Once the remainder is zero, the GCD is the value of “dividend”.

Output: The greatest common divisor (GCD) of “a” and “b”.

Here’s a Python implementation of the Euclidean division algorithm:def euclidean_division(a, b): dividend = a divisor = b while divisor != 0: quotient = dividend // divisor remainder = dividend % divisor dividend = divisor divisor = remainder return dividend

You can use this algorithm to find the GCD of two numbers by calling the euclidean_division(a, b) function and passing the desired values of “a” and “b” as arguments. The function will return the GCD of the two numbers.