
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
(1) Find the greatest common divisor (GCD) of 840 and 1764 using the Euclidean algorithm.
(2) Find the GCD of 459 and 357 using the method of consecutive integer subtraction.

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