Number Theory

We can use the latter method to compute for the GCD. 

First, we, note that every number is divisble by 2. Taking the two out, we get

$18, 52, 11254$

Dividing by 2 again, we get

$9, 26, 5627$

Unfortunately, there are no more common factors among the remaining 3. 

Thus, we have $2^2 = 4$

So our final answer is 4. 

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