To find the **greatest common divisor (GCD)**, or **"größter gemeinsamer Teiler (ggT)"** in German, of the numbers 935935 and 396, we can use the **Euclidean algorithm**. The Euclidean algorithm involves repeated division and taking the remainder until the remainder is zero. The last non-zero remainder is the GCD.

### Steps of the Euclidean Algorithm:

1. **Divide** 935935 by 396 and find the remainder.
2. **Divide** 396 by the remainder from step 1.
3. **Continue** this process until the remainder is 0.
4. The last non-zero remainder is the GCD.

Let's go through the steps:

1. **935935 ÷ 396** gives a quotient of 2363 and a remainder of 367.
   \[
   935935 = 2363 \times 396 + 367
   \]

2. **396 ÷ 367** gives a quotient of 1 and a remainder of 29.
   \[
   396 = 1 \times 367 + 29
   \]

3. **367 ÷ 29** gives a quotient of 12 and a remainder of 19.
   \[
   367 = 12 \times 29 + 19
   \]

4. **29 ÷ 19** gives a quotient of 1 and a remainder of 10.
   \[
   29 = 1 \times 19 + 10
   \]

5. **19 ÷ 10** gives a quotient of 1 and a remainder of 9.
   \[
   19 = 1 \times 10 + 9
   \]

6. **10 ÷ 9** gives a quotient of 1 and

Discover how to find the greatest common divisor (GCD) of 935935 and 396 using the Euclidean Algorithm. This step-by-step guide is perfect for students in Grades 9-12 and covers essential concepts in number theory.

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