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Euclidean Algorithm Calculator With Steps . 1) understand the extended euclidean algorithm to determine the inverse of a given integer. The extended euclidean algorithm is an algorithm that finds integers x and y such that ax + by = gcd(a,b). 😍 Euclidean algorithm example. The Extended Euclidean Algorithm from tukioka-clinic.com But using property 3 and 4 mentioned above, we can simplify the calculation of the gcd of two numbers by reducing it to the calculation of the gcd of two smaller numbers. For the basics and the table notation. The extended euclidean algorithm is an algorithm that finds integers x and y such that ax + by = gcd(a,b).