Ratio Calculator – Simplify Ratios Online

Simplify ratios to simplest form, calculate greatest common divisors (GCD), and compute equivalent ratios online for free.

Looking to solve A/B = C/x or split an amount? Try our companion tools:

Proportion Calculator Divide Amount in Ratio

Simplify Ratio to Lowest Terms

GCD Reduction

Enter integers or decimals to find their Greatest Common Divisor and simplest irreducible form.

Part A (Numerator)

Part B (Denominator)

Examples:

Simplified Ratio:

2 : 3

Decimal: 0.6667 GCD: 12

Step-by-step: Find the Greatest Common Divisor of 24 and 36, which is 12. Divide both numbers by 12: 24 ÷ 12 = 2 and 36 ÷ 12 = 3. The simplified ratio is 2 : 3.

Solve Proportion (A : B = C : D)

Cross-Multiply

Leave any ONE box empty to solve for its missing value (A/B = C/D).

Leave empty or solve (D):

Examples:

How to Calculate and Simplify a Ratio

A ratio compares the relative sizes of two or more values. A ratio is in its simplest form (or irreducible form) when all its terms are whole numbers with no common positive divisor other than 1.

Find the GCD / GCF

Identify the Greatest Common Divisor (GCD) of all numbers in the ratio using prime factorization or the Euclidean algorithm.

Divide Every Term

Divide each number in the ratio by the calculated GCD. Both numerator and denominator must be divided equally.

Write Simplest Form

Express the remaining integers as a reduced ratio (A : B) or convert to equivalent fractions, decimals, and percentages.

Worked Example: Simplify the Ratio 24 : 36

Suppose you have two measurements: 24 centimeters and 36 centimeters. To simplify this ratio:

List the factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.
List the factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36.
Find the highest common factor: The greatest common divisor is GCD(24, 36) = 12.
Divide both parts by 12: 24 ÷ 12 = 2 and 36 ÷ 12 = 3.
Final Result: 24 : 36 = 2 : 3 (Decimal value = 0.6667).

Common Aspect Ratios & Screen Resolutions

Original Resolution	GCD	Simplified Ratio	Common Application
1920 × 1080	120	16 : 9	Full HD Video & Monitors
2560 × 1440	160	16 : 9	QHD / 2K Display
1024 × 768	256	4 : 3	Classic Television & iPad displays
1080 × 1080	1080	1 : 1	Square Social Posts & Avatars
2560 × 1080	40	64 : 27 (21 : 9)	UltraWide Gaming Monitors

Proportion Calculator

Find missing variables in A/B = C/D using algebraic cross-multiplication with step-by-step verification.

Divide Amount in a Ratio

Split money, assets, or quantities into 2 or more parts according to any given ratio with share percentages.

How to Use Ratio Calculator – Simplify Ratios Online

Enter the numbers for your ratio into the input fields (e.g., 24 and 36, or enter multiple parts).
Click 'Simplify Ratio' to determine the Greatest Common Divisor (GCD) and reduce terms.
Examine the simplified ratio output, decimal quotient, and percentage distribution.
Use the proportion solver card to solve any missing term in A : B = C : D equations.

About this Tool

The VecToolz Ratio Calculator allows you to simplify ratios to their irreducible lowest terms and compute equivalent aspect ratios. Whether you are scaling digital dimensions (such as 1920:1080 to 16:9), mixing recipes, or completing math coursework, this tool reduces numbers using their Greatest Common Divisor (GCD) with zero server uploads.

Frequently Asked Questions

Common questions about Ratio Calculator – Simplify Ratios Online, accuracy, and browser-side security.

A ratio compares two or more quantities. To simplify a ratio like 24:36, find the Greatest Common Divisor (GCD) of both numbers (which is 12) and divide each term by it: 24 ÷ 12 = 2 and 36 ÷ 12 = 3, yielding 2:3.

Yes! You can simplify multi-part ratios (such as 12:18:24) by finding the greatest common factor across all parts, reducing it to 2:3:4.

A ratio expresses the relative size of two or more values (e.g., 2:3). A proportion is an equation stating that two ratios are equal (e.g., 2/3 = 4/6 or A:B = C:D). If you need to find an unknown fourth value, use our Proportion Calculator.

Divide the first number by the second number (e.g., 2 ÷ 3 ≈ 0.6667). To express shares of a whole, divide each term by the sum of parts (e.g., for 2:3, the sum is 5; the shares are 2/5 = 40% and 3/5 = 60%).

Mathematically, ratios represent non-zero positive quantities in physical measurements, mixtures, and aspect ratios. Denominators cannot be zero because division by zero is undefined.