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Multiplicative Inverse Modulo Calculator

Free online multiplicative inverse modulo calculator. Enter your values and get instant results with the formula, step-by-step working, a worked example and FAQs — everything runs locally in your browser on Calcton, no signup required.

中文版:模逆元计算器 - 扩展欧几里得求逆

Multiplicative Inverse Modulo Calculator
a(被求逆的整数)
模数 m(正整数)

逆元存在的充要条件是 gcd(a, m) = 1;当 m 为素数时,逆元恒存在且等于 a^(m−2) mod m(费马小定理口径),与扩展欧几里得结果一致。

How to use the Multiplicative Inverse Modulo Calculator

  1. Fill in the inputs with your own numbers — every field shows what it expects.
  2. The result updates instantly as you type; no "Calculate" click needed.
  3. Read the result card for the main figure, the step-by-step formula, and practical notes.

Frequently asked questions

Is the Multiplicative Inverse Modulo Calculator free?

Yes — all study & exams calculators on Calcton are free, with no sign-up required. Your inputs are processed in your browser and never sent to a server.

Is there a Chinese version of this tool?

Yes. Use the Chinese version link above — it is the same calculator with the interface in Simplified Chinese.

References

Formulas and benchmarks used by this calculator follow these published sources.

  1. mathworld.wolfram.com
  2. csrc.nist.gov
Kevin's profile

KevinContent LeadCalcton Editorial Team · Last updated 2026-06-06

Kevin maintains Calcton's formula verification and content: every calculator cites the standard it implements, worked examples are recomputed programmatically, and health benchmarks follow WHO and international guidelines.

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