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Home/ Questions/Q 9145713
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Editorial Team
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Editorial Team
Asked: June 17, 20262026-06-17T10:34:57+00:00 2026-06-17T10:34:57+00:00

Given a mod b and find its inverse, then doing the extended GCD. ax

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Given a mod b and find its inverse, then doing the extended GCD.

ax + by = gcd(a,b)

After I get x and y, how do I get its inverse?

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  1. Editorial Team
    Editorial Team
    2026-06-17T10:34:58+00:00Added an answer on June 17, 2026 at 10:34 am

    If gcd(a,b) != 1, a does not have an inverse mod b.

    Otherwise ax + by = 1, which means that ax = 1 (mod b), so x is the inverse of a mod b.

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