highest common factor of 360, 900, 140/9 and 175/9
You asked:
Find the greatest common divisor of the following numbers: \(360\), \(900\), \(\frac{140}{9}\), \(\frac{175}{9}\)
MathBot Answer:
The greatest common divisor is \(\displaystyle\frac{5}{9}\).
The GCD of a set of fractions is equal to the GCD of the numerators over the LCM of the denominators. $$\begin{aligned}\operatorname{gcd}\left(360, 900, 140, 175\right) &= 5\\ \operatorname{lcm}\left(1, 1, 9, 9\right) &= 9\\ \operatorname{gcd}\left(360, 900, \frac{140}{9}, \frac{175}{9}\right) &= \frac{5}{9} \end{aligned}$$