Determine \( \operatorname{gcd}(a, b) \) and express it as a linear combination of \( a \) and \( b \), where \( a=23 \) \( b=1820 \). Obtain the congruence classes of integer modulo 5 that is \( a \equiv b(\bmod 5), a, b \in \mathbb{Z} \).
Added by Selasi J.
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We can use the Euclidean algorithm for this. 1820 = 23 * 79 + 3 23 = 3 * 7 + 2 3 = 2 * 1 + 1 2 = 1 * 2 So, the gcd of 23 and 1820 is 1. Show more…
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