Answer :
To find the ratio of 669 to 221, we use the Euclidean algorithm to determine that the GCD is 1, meaning the ratio is already in its simplest form. Therefore, the ratio of 669 to 221 is 669:221.
Steps to find the ratio of 669 to 221:
First, find the greatest common divisor (GCD) of the two numbers, 669 and 221. Using the Euclidean algorithm, we get:
669 ÷ 221 = 3 , remainder 6
221 ÷ 6 = 36 , remainder 5
6 ÷ 5 = 1 , remainder 1
5 ÷ 1 = 5 , remainder 0
The GCD is 1, since the last non-zero remainder is 1.
Next, divide both numbers by their GCD to simplify the ratio:
669 ÷ 1 = 669
221 ÷ 1 = 221
Therefore, the simplified ratio of 669 to 221 is 669:221.
