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GCF Calculator (Greatest Common Factor) is not yet available in 日本語. Showing the English version below. All formulas and calculations work the same.
最終更新日: 2026年7月31日
GCF Calculator (Greatest Common Factor)
レビュアー
レビュアー
レビュアー
レビュアー
数式
List factors of a and b, intersect lists, then gcf = max(common factors)
ここで:
- a=First Positive Integer
- b=Second Positive Integer
解法例
Typical integers
Find common factors of 24 and 36.
- 1Factors of 24: 1,2,3,4,6,8,12,24
- 2Factors of 36: 1,2,3,4,6,9,12,18,36
- 3Intersection gives gcf 12
Co-prime numbers
Find common factors of 14 and 25.
- 1List factor sets
- 2Only 1 appears in both
- 3Greatest common factor is 1
One divides another
Find common factors of 18 and 54.
- 1Every factor of 18 is also factor of 54
- 2Common factors end at 18
- 3So GCF is 18
はじめに
GCF is the largest shared factor of two integers and is useful for reduction, grouping, and divisibility analysis.
Formula and Method
GCF Calculator (Greatest Common Factor) applies List factors of a and b, intersect lists, then gcf = max(common factors) and returns deterministic outputs from validated inputs.
Validate each required input
Apply the stated formula
Round numeric outputs where needed
Return safe defaults when validation fails
Input Fields
Use these keys exactly as defined in calculation.ts.
- 1
a: First Positive Integer
- 2
b: Second Positive Integer
Output Fields
These values map directly to calculation.ts return keys.
- 1
gcf: Largest shared factor
- 2
commonFactors: Comma-separated list of shared factors
Validation Rules
Both inputs must be positive integers.
Finite numeric values are required
Domain restrictions are enforced before solving
Invalid input returns default-safe outputs
Check examples to confirm expected behavior
How to Use This Calculator
Enter inputs, run the calculation, and read the primary output first.
Enter all required values
Click calculate
Review primary output first
Use supporting outputs for interpretation
Practical Uses
This calculator is useful for study, verification, and fast applied math checks.
Simplifying fractions
Factoring polynomials
Grouping objects evenly
Teaching factorization
よくある質問
What does the GCF Calculator (Greatest Common Factor) compute?
It computes Greatest Common Factor and supporting outputs from your inputs.
Which inputs are required?
Required inputs are: First Positive Integer, Second Positive Integer.
How are invalid inputs handled?
When validation fails, the calculator returns safe default values and does not attempt invalid math.
Are results rounded?
Yes. Numeric outputs are rounded inside calculation.ts (typically to 6 decimal places).
Can I use negative or decimal values?
Only positive integers are accepted.
How should I verify my answer?
Use the worked examples and compare each output key with your manual steps.