
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
Two lengths of rope measure 825 meters and 1275 meters. Find the greatest common divisor (GCD) of these two lengths to determine the largest length of rope that can evenly measure both original lengths.

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