About aspect ratios
An aspect ratio describes the proportional relationship between a rectangle's width and height. Common ratios include 16:9 (widescreen video), 4:3 (traditional TV and monitors), 1:1 (square), and 3:2 (35mm film). The simplified ratio is found by dividing both dimensions by their greatest common divisor (GCD).
To scale an image or video, keep the ratio constant: new height = original height x (new width / original width).
How do I calculate an aspect ratio?
To calculate an aspect ratio, divide the width and height by their greatest common divisor (GCD) to get the simplest whole-number ratio; to scale a new width or height, multiply by the ratio between the new and original dimension. Example: 1920x1080 simplifies to 16:9, and scaling to a 1280-pixel width gives a height of 1280 x 1080 / 1920 = 720.
Steps to calculate and scale an aspect ratio
- Find the greatest common divisor (GCD) of the original width and height using repeated division, the Euclidean algorithm.
- Divide both the width and height by that GCD to get the simplified ratio (1920 and 1080 both divide by 120, giving 16:9).
- To find a new height for a target width, multiply the new width by the original height, then divide by the original width.
- To find a new width for a target height, multiply the new height by the original width, then divide by the original height.
- Round the calculated dimension to the nearest whole pixel, since screen and video dimensions must be whole numbers.
Aspect ratio formulas
Ratio = Width / GCD(Width, Height) : Height / GCD(Width, Height) · New height = New width x Original height / Original width
- GCD = greatest common divisor, the largest number that divides both width and height evenly
- Original width/height = the source dimensions before scaling
Common resolution aspect ratios
What is the aspect ratio of 1920x1080?
1920x1080 is 16:9 (gcd is 120; 1920÷120=16, 1080÷120=9), the standard Full HD ratio.
What is the aspect ratio of 1280x720?
1280x720 is 16:9 (gcd is 80; 1280÷80=16, 720÷80=9), the standard HD ratio.
What is the aspect ratio of 3840x2160?
3840x2160 (4K UHD) is 16:9 (gcd is 240; 3840÷240=16, 2160÷240=9), the same ratio as 1080p at four times the pixel count.
What is the aspect ratio of 1080x1350?
1080x1350 is 4:5 (gcd is 270; 1080÷270=4, 1350÷270=5), the Instagram portrait post ratio.
At 16:9, what height matches a width of 1600?
At 16:9, a width of 1600 pairs with a height of 900 (1600 × 9 ÷ 16 = 900).
What is the aspect ratio of 1920x1200?
1920x1200 is 8:5 (gcd is 240; 1920÷240=8, 1200÷240=5), also known as WUXGA or 16:10.
Example resolutions and their ratios
| Width x Height | Simplified ratio | Common name |
|---|
| 1920 x 1080 | 16:9 | Full HD widescreen |
| 1280 x 720 | 16:9 | HD widescreen |
| 3840 x 2160 | 16:9 | 4K UHD |
| 1024 x 768 | 4:3 | Traditional monitor |
| 2560 x 1440 | 16:9 | QHD widescreen |
Frequently asked questions
What is the most common aspect ratio for video?
16:9 is the standard for widescreen video, television, and most modern monitors and phone screens in landscape mode, adopted as part of the HDTV standard. Resolutions like 1280x720, 1920x1080, and 3840x2160 (4K) all share this same 16:9 ratio.
How is the greatest common divisor (GCD) calculated?
This tool uses the Euclidean algorithm: repeatedly divide the larger number by the smaller and replace the larger with the remainder, until the remainder is 0. The last non-zero remainder is the GCD, which is then used to reduce the ratio to its simplest form.
Why do I need to round the scaled dimension?
Pixel dimensions must be whole numbers because a screen or video frame cannot have a fractional pixel. When scaling produces a decimal result, this tool rounds to the nearest whole pixel, which can introduce a tiny rounding difference in the exact ratio.
What is the difference between 4:3 and 16:9?
4:3 is the traditional, more square-shaped ratio used by older televisions and monitors, like 1024x768. 16:9 is wider and is now the standard for widescreen video, HDTV, and most modern displays.
This calculator finds the simplified whole-number ratio and scales one dimension from the other; it rounds results to the nearest whole pixel and does not account for pixel aspect ratio differences used in some broadcast video formats.
Sources: ITU-R Recommendation BT.709 - HDTV parameter values (16:9 standard)