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Calculate the gcd of 11639881 and 243 and express it in the form gcd(11639881, 243)= 11639881x...

Calculate the gcd of 11639881 and 243 and express it in the form gcd(11639881, 243)= 11639881x + 243y.

Can you find another pair of integers s and t distinct from x and y s.t. gcd=11639881s + 243t? Can you find infinitely many such distinct pairs?

I'm struggling to answer the second part of the question. The answer I got for the first pair is x= -98 and y=4694273 (gcd=1).

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