
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
Four wires have lengths of 1008 cm, 1260 cm, 882 cm, and 1134 cm, respectively. The task is to cut them into equal smaller segments without leaving any remainder, and the segments should be as long as possible. What is the length of each segment in cm, and how many segments in total can be obtained?

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