
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
James has three ropes whose lengths are 48 inches, 60 inches, and 72 inches. He wants to cut the ropes into equal length pieces for his artwork, ensuring no rope is wasted. What is the greatest possible length of each piece?

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