
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
Adélka had two numbers written on a piece of paper. When she added their greatest common divisor and their least common multiple to them, she had four different numbers less than 100. She was astonished to find that when she divided the largest of these four numbers by the smallest, she got the greatest common divisor of all four numbers.

What numbers did Adélka have written on the paper?

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