Math & Numbers
a⁻¹ mod m via extended Euclid with Bézout coefficients, an optional step table, and an a × a⁻¹ ≡ 1 (mod m) verification; RSA-sized inputs supported.
Call this tool from your code in three languages.
curl -X POST 'https://api.elysiatools.com/en/api/tools/modular-inverse-calculator' \
-H 'Content-Type: application/json' \
-d '{"a":"17","m":"3120","style":"steps"}'Send a POST request with your inputs as JSON. File parameters require a separate upload first.
POST https://api.elysiatools.com/en/api/tools/modular-inverse-calculator| Name | Type | Required | Description |
|---|---|---|---|
| a | text | Yes | The value to invert; negative values are reduced mod m first. |
| m | text | Yes | Modulus, m ≥ 2. Inputs up to 10⁵¹² are accepted (RSA-sized). |
| style | select | Yes | — |
Text result
{
"result": "Processed text content",
"error": "Error message (optional)",
"message": "Notification message (optional)",
"metadata": {
"key": "value"
}
}Add this tool to your Model Context Protocol server so AI agents can list and call it.
Add this block to your MCP client configuration:
{
"mcpServers": {
"elysiatools-modular-inverse-calculator": {
"name": "modular-inverse-calculator",
"description": "a⁻¹ mod m via extended Euclid with Bézout coefficients, an optional step table, and an a × a⁻¹ ≡ 1 (mod m) verification; RSA-sized inputs supported.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=modular-inverse-calculator",
"command": "",
"args": [],
"env": {},
"isActive": true,
"type": "sse"
}
}
}After connecting to the SSE endpoint, list the exposed tools:
{
"jsonrpc": "2.0",
"id": 1,
"method": "tools/list"
}Invoke the tool by its id, passing arguments built from its parameters:
{
"jsonrpc": "2.0",
"id": 2,
"method": "tools/call",
"params": {
"name": "modular-inverse-calculator",
"arguments": {
"a": "17",
"m": "3120",
"style": "steps"
}
}
}Questions or issues? Contact [email protected]