
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
George collects coins and divides them among boxes. He organizes them such that each box contains an equal number of coins. He has three different coin containers, with totals of 1050, 1260, and 210 coins. What is the greatest number of coins that George could be putting in each box?

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