7462:364

To simplify the fraction \(7462:364\), we can divide both numbers by their greatest common divisor (GCD). 1. Find the GCD of 7462 and 364. 2. Divide both numbers by the GCD. Calculating the GCD: - The prime factorization for 364 is \(2^2 \times 7 \times 13\). - For 7462, we can divide it by 2: \(7462 \div 2 = 3731\) (3731 is a prime number). - This means that the only common factor between 7462 and 364 is 2. Now, divide both numbers by 2: - \(7462 \div 2 = 3731\) - \(364 \div 2 = 182\) So, the simplified ratio is: \[ 3731:182 \] Therefore, \(7462:364\) simplifies to \(3731:182\).