To simplify the ratio 954:318, you should divide both numbers by their greatest common divisor (GCD).
First, find the GCD of 954 and 318.
The prime factorization of 954 is: 954 = 2 × 3 × 159 159 can be factored further to 3 × 53. So: 954 = 2 × 3² × 53
The prime factorization of 318 is: 318 = 2 × 3 × 53
The common factors are 2, 3, and 53.
Now, the GCD of 954 and 318 is: GCD = 2 × 3 × 53 = 318
Now, divide both numbers in the ratio by the GCD (318):
954 ÷ 318 = 3 318 ÷ 318 = 1
Thus, the simplified ratio of 954:318 is 3:1.