
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
Arlene has three ropes whose lengths are 28 inches, 45 inches, and 63 inches. She wants to cut the ropes into pieces of equal length for her crafts, and she wants to ensure that no rope material is wasted. What is the greatest possible length for each piece?

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