### Instruction: Find the greatest common divisor of 252 and 105 using the Euclidean algorithm.### Response: To find the greatest common divisor (GCD) of 252 and 105 using the Euclidean algorithm, we follow these steps:

1. Divide the larger number (252) by the smaller number (105) and find the remainder.
   252 ÷ 105 = 2 with a remainder of 42.

2. Replace the larger number (252) with the smaller number (105) and the smaller number with the remainder (42) from the previous step.

3. Repeat steps 1 and 2 until the remainder is 0.

   105 ÷ 42 = 2 with a remainder of 21.
   42 ÷ 21 = 2 with a remainder of 0.

4. The GCD is the last non-zero remainder, which in this case is 21.

So, the greatest common divisor of 252 and 105 is 21.