Find the Greatest Common Divisor (1267867,1299479) using Euclidean Algorithm.

Sure, here is the step-by-step solution using the Euclidean Algorithm to find the Greatest Common Divisor (GCD) of 1267867 and 1299479:

1. First, we divide the larger number by the smaller number. So, 1299479 ÷ 1267867 = 1 remainder 31612.

2. Now, we replace the larger number with the smaller number and the smaller number with the remainder from the previous step. So, our new pair of numbers is 1267867 and 31612. We repeat the division process: 1267867 ÷ 31612 = 40 remainder 7467.

3. We continue this process: replace 31612 with 7467, and divide: 31612 ÷ 7467 = 4 remainder 1764.

4. Continue the process: 7467 ÷ 1764 = 4 remainder 471.

5. Continue the process: 1764 ÷ 471 = 3 remainder 351.

6. Continue the process: 471 ÷ 351 = 1 remainder 120.

7. Continue the process: 351 ÷ 120 = 2 remainder 111.

8. Continue the process: 120 ÷ 111 = 1 remainder 9.

9. Continue the process: 111 ÷ 9 = 12 remainder 3.

10. Continue the process: 9 ÷ 3 = 3 remainder 0.

When the remainder is 0, we stop. The GCD is the last non-zero remainder, which in this case is 3. So, the GCD of 1267867 and 1299479 is 3.