Aspect Ratio Calculator

Reducing a Resolution to Its Simplest Ratio

An aspect ratio is just a width-to-height fraction reduced to its lowest terms, the same way you'd simplify 4/8 to 1/2. Video and display marketing rounds this to familiar labels like "16:9" or "21:9," but the exact simplified fraction of a real resolution doesn't always match the marketing name precisely. This calculator reduces any width and height to their true simplified ratio, or works in the other direction — solving for a missing width or height once a target ratio is fixed.

The Formula

Simplifying scales both dimensions to integers and divides out their greatest common divisor; solving for a missing side uses the ratio directly:

Ratio = Width : Height, reduced by GCD(Width, Height)
Height = Width × (RatioHeight / RatioWidth)
Width = Height × (RatioWidth / RatioHeight)

Reducing by the greatest common divisor is what turns a resolution like 1920×1080 into the compact 16:9 most people recognize.

Where Aspect Ratio Matters

  • Video editing and export — matching a project's aspect ratio to the target platform (16:9 for YouTube, 9:16 for vertical mobile video) before cropping or padding is added.
  • Responsive image layouts — reserving the correct width/height ratio in a webpage layout so images don't cause content to jump as they load.
  • Print and framing — scaling a photo to a specific print size without distorting it means keeping the original ratio intact.
  • Display shopping — recognizing that a "21:9" ultrawide monitor's true resolution ratio is often a slightly different simplified fraction than the marketing name suggests.

Common Resolutions and Their Exact Simplified Ratio

Simplified width:height ratio for widely used resolutions
ResolutionSimplified RatioCommon Name
1024 x 7684:3XGA
1280 x 72016:9HD
1920 x 108016:9Full HD
2560 x 144016:9QHD
3840 x 216016:94K UHD
2560 x 108064:27Marketed as "21:9"
3440 x 144043:18Marketed as "21:9"

Ultrawide monitors marketed as "21:9" rarely simplify to exactly 21:9 — 2560x1080 and 3440x1440 both reduce to a different exact fraction, close to but not identical to 21:9.

How to Use This Calculator

  1. Choose a calculation type: Simplify Ratio from Width/Height, Find Height from Ratio, or Find Width from Ratio.
  2. For simplifying, enter Width (px) and Height (px).
  3. For the other two modes, enter the known dimension plus Ratio Width and Ratio Height (for example, 16 and 9).
  4. Select Calculate to get the simplified ratio or the missing dimension.

Related Calculations

Solving for a full screen size instead of just the ratio? Use the Screen Size Calculator. Working with video storage/display pixel shapes rather than screen ratios? See the Pixel Aspect Ratio Calculator.