345:456

The ratio 345:456 can be simplified by finding the greatest common divisor (GCD) of the two numbers.

To simplify:

1. Find the GCD of 345 and 456.

   • The prime factorization of 345 is 3 × 5 × 23.
   • The prime factorization of 456 is 2^3 × 3 × 19.
   • The common prime factor is 3.

2. Divide both numbers by their GCD (which is 3):

   • 345 ÷ 3 = 115
   • 456 ÷ 3 = 152

So, the simplified ratio is 115:152.