
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the series of equations $7163 = 209 \times 34 + 57$, $209 = 57 \times 3 + 38$, $57 = 38 \times 1 + 19$, and $38 = 19 \times 2$, determine the greatest common divisor (GCD) of $7163$ and $209$.

Present the answer in LaTex format: \boxed{Your answer}
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