Greatest common divisor of fractions and decimals

[topito2]

Is it possible to calculate the greatest common divisor of decimals and fractions? As far as I know, the greatest common divisor is a number you can calculate for integers, but I wonder if it's possible to calculate it for decimals and fractions.

 

[HallsofIvy]

No. "Least common multiple" and "greatest common divisor" are only defined for integers. If you allow fractions or irrational numbers, then any number, other than 0, can be a "common multiple" or "common divisor" so there are no "least" or "greatest".

 

[g_edgar]

You will have to define divisor and multiple for this to work. One possibility: for positive rational numbers x,y, say x divides y if y/x is an integer. With this definition, gcd and lcm can be defined.