Up | Japanese Euclidean Algorithm  


    Do you think that there's no way but trial-and-error or guess-work to obtain a value of a ratio ?
    No.
    There is an algorithm that leads to a definite value. In other words, there is a measure method using rational numbers as values.


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    This algorithm is called the "Euclidean algorithm".
    Applying the Euclidean algorithm for the given two quantities one can get both the maximum common divisor and the expression of the ratio.