Since both 1 134 218 and 1 135 620 are both even, 2 divides into both
1 134 218 ÷ 2 = 567 109
1 134 620 ÷ 2 = 567 810
After going online and finding a list of prime numbers, trying them one by one, you can get to 701:
567 109 ÷ 701 = 809
567 810 ÷ 701 = 810
Since 809 and 810 are relatively prime (no whole number divides into both of them), we can stop.
The greatest common factor is 2 x 701 = 1402.
Actually, I didn't do that. I have a calculator that, if you divide 1134218 by 1135620, you get .9987654321...
Then, by using a button that changes decimal fractions to common fractions, it gives the answer 809/810.
Dividing 1134218 by 809, the result is 1402, which is 701 x 2. Then, I went to an online list of prime numbers and finding 701, I knew that I was finished.