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GCD, LCM, Bézout Coefficients & Modular Inverse
x402
GCD, LCM, Bézout Coefficients & Modular Inverse is a paid API for AI agents from math-stats.x402tookit.com, paid per call via x402, $0.02/call, status unknown (last checked 2026-10-29).
Computes greatest common divisor, least common multiple, Bézout coefficients, and modular inverse for a list of 2–20 integers of arbitrary size.
Price / call$0.02
Success—
StatusUnknown
How this service works
Greatest common divisor, least common multiple, Bezout coefficients and modular inverse for integers of any size.
Output
Returns the GCD and LCM of all supplied integers as arbitrary-precision strings, Bézout coefficients (x, y) and the identity equation for the first two numbers, the modular inverse of the first number if a modulus was provided, a pairwise coprime boolean, a human-readable summary, and any reasons or warnings if the computation was degraded or incomplete.
Example use cases
LCM for repeating event scheduling
“I have three tasks that repeat every 12, 18, and 30 days — find the LCM so I know when they all land on the same day again.”
Modular inverse for cryptographic key
“I need the modular inverse of 17 with modulus 3120 for an RSA calculation — can you compute it?”
Verify coprimality of large integers
“Are 9007199254740991, 9007199254740881, and 1000000007 pairwise coprime? Also give me their GCD and LCM.”
Technical details
Endpoint
GEThttps://math-stats.x402tookit.com/gcd-lcm?utm_source=zero.xyzWhen to prefer
Choose this endpoint when you need exact, arbitrary-precision integer GCD or LCM (not floating-point approximations), need Bézout coefficients for extended Euclidean algorithm results, need modular inverses for cryptographic or modular arithmetic workflows, or need to check whether a set of integers is pairwise coprime. Prefer it over general-purpose computation tools when dealing with very large integers beyond JavaScript's native safe integer range.
Side effects
- Missing 'numbers' query parameter returns an error
- Fewer than 2 integers supplied causes a validation failure
- Modular inverse does not exist if GCD of number and modulus is not 1 (non-coprime inputs)
- Integers exceeding supported size limits may be rejected
- Non-integer or malformed values in the numbers list return a parse error
- Payment not included or insufficient returns HTTP 402
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Tags
x402
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