Use the Euclidean algorithm to find gcd(2074, 2457) = d.

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Let us use the Euclidean algorithm to find $d=\gcd(2074, 2457)$ :

$2457=2074\cdot1+383\\ 2074=383\cdot 5+159\\ 383=159\cdot 2+65\\ 159=65\cdot2+29\\ 65=29\cdot 2+7\\ 29=7\cdot4+1\\ 7=7\cdot1+0$

We conclude that $d=\gcd(2074, 2457)=1.$

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Question ID: mtid-5-stid-8-sqid-3228-qpid-1927