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Greatest Common Divisor Calculator — result sheet
Find the greatest common divisor, least common multiple, and reduced positive ratio of two whole numbers.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: gcd(a,b) = gcd(b, a mod b); lcm(a,b) = |ab|/gcd(a,b); reduced ratio = (a/g):(b/g).
The Euclidean algorithm repeatedly replaces the pair with the divisor and remainder until the remainder is zero. The same divisor reduces the absolute-value ratio and connects to the least common multiple.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Integer A — minimum -1000000000; maximum 1000000000
- Integer B — minimum -1000000000; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Integer A | 84 |
| Integer B | 30 |
GCD: 6; LCM: 420; reduced ratio: 14:5.
Assumptions and limits
- Inputs are finite whole numbers; both cannot be zero at the same time.
- The displayed reduced ratio uses absolute values so its terms are nonnegative, while the GCD is nonnegative.
- The LCM is zero when exactly one input is zero and is otherwise based on absolute values.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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