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 \(3731:182\).