360 = 2³ × 3² × 5
225 = 3² × 5²
cmmdc (360; 225) = 3² × 5 = 45
[tex]\bf \!{^{^{^{^{^{^{\displaystyle 45)}}}}}}}\!\!\!\dfrac{360}{225} = \boxed{\bf \dfrac{8}{5}}[/tex]
123123 = 3 × 7 × 11 × 13 × 41
215215 = 5 × 7 × 11 × 13 × 43
cmmdc (123123; 215215) = 7 × 11 × 13 = 1001
[tex]\bf \!{^{^{^{^{^{^{\displaystyle 1001)}}}}}}}\!\!\!\dfrac{123123}{215215} = \boxed{\bf \dfrac{123}{215}}[/tex]
