3840x2160 aspect ratio: 16:9 (1.778:1)

3840 × 2160 reduces to 16:9. The greatest common divisor of 3840 and 2160 is 240, so 3840 ÷ 240 = 16 and 2160 ÷ 240 = 9. That is exactly 16:9.

Published · Updated · Sources last verified

At a glance

16:9

3840 × 2160 is exactly 16:9.

Decimal
1.778:1
Nearest named ratio
16:9, exact
Orientation
Landscape
Pixels
8,294,400
Megapixels
8.29
Greatest common divisor
240

How 3840 × 2160 reduces

  1. 3840 = 1 × 2160 + 1680
  2. 2160 = 1 × 1680 + 480
  3. 1680 = 3 × 480 + 240
  4. 480 = 2 × 240 + 0

The last divisor, 240, is the greatest common divisor, so 3840 × 2160 reduces to 16:9. The method by hand is on the calculator page.

Crop or pad 3840 × 2160 to common ratios

Crops and pads rounded to whole pixels, the same way the calculator does.
TargetCentered cropShare keptPad canvas
9:161215 × 216031.6%3840 × 6827
4:51728 × 216045%3840 × 4800
1:12160 × 216056.3%3840 × 3840
4:32880 × 216075%3840 × 2880
1.91:13840 × 201093.1%4126 × 2160

Whole-pixel downscales

3840 × 2160 divided by small whole numbers. Sides that do not divide evenly show 2 decimals.
Divide bySizeWhole pixelsNearest whole size
÷21920 × 1080yessame
÷31280 × 720yessame
÷4960 × 540yessame
÷5768 × 432yessame
÷6640 × 360yessame
÷8480 × 270yessame
÷10384 × 216yessame
Listed sizes that reduce to 16:9. Scale compares widths; pixel count compares areas.
SizeScale from 3840 × 2160Whole-number scalePixel count
1280 × 7200.333yes, ÷30.111×
1920 × 10800.5yes, ÷20.25×
2560 × 14400.667no0.444×
3840 × 2160this page's size1-1×

Facts about 3840 × 2160

  • 3840 × 2160 is exactly 16:9: 240 × 16 by 240 × 9.
  • 3840 × 2160 divides into whole pixels by 2, 3, 4, 5, 6, 8 and 10, so a one-third size (1280 × 720) is still whole pixels.
  • Among the other listed 16:9 sizes, it is a whole-number multiple of 1920 × 1080 (×2) and 1280 × 720 (×3); 2560 × 1440 (×0.667) is not a whole-number scale of it.
  • Turned on its side, 3840 × 2160 becomes 2160 × 3840 (9:16).
  • Cropped to 9:16, 3840 × 2160 keeps 31.6% (1215 × 2160); cropped to 1:1 it keeps 56.3% (2160 × 2160).
  • 3840 × 2160 is 8,294,400 pixels (8.29 MP), 4 times the pixel count of 1920 × 1080.

Sourced notes

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Aspect ratio 16:9 (1.778:1). Exact match for 16:9.

Aspect ratio

16:9

1.778:1

Exact match for 16:9.

Width ÷ height
1.7778
Height ÷ width
0.5625
Shape
landscape

Your numbers, worked

gcd(3840, 2160) = 240

3840 ÷ 240 = 16

2160 ÷ 240 = 9

3840 ÷ 2160 = 1.7778

Show how the gcd was found
  1. 3840 = 1 × 2160 + 1680
  2. 2160 = 1 × 1680 + 480
  3. 1680 = 3 × 480 + 240
  4. 480 = 2 × 240 + 0

Divide the larger side by the smaller, then divide the last divisor by the remainder until the remainder is 0. The last divisor is the gcd.

What each ratio would cut from 3840 × 2160

The largest centred crop at each ratio, best fit first. Crop rather than stretch.

RatioFitCrop toLost
16:9Exact3840 × 21600%
1.91:1Trim height3840 × 20106.94%
16:10Trim width3456 × 216010%
2:1Trim height3840 × 192011.1%
3:2Trim width3240 × 216015.6%
21:9Trim height3840 × 164623.8%
4:3Trim width2880 × 216025%
5:4Trim width2700 × 216029.7%
1:1Trim width2160 × 216043.8%
32:9Trim height3840 × 108050%
4:5Trim width1728 × 216055%
3:4Trim width1620 × 216057.8%
2:3Trim width1440 × 216062.5%
9:16Trim width1215 × 216068.4%

Solve the missing side

Pick a ratio, then enter the side you know.

Side you know

Height is 2160. Size 3840 by 2160 pixels.

Size at 16:9

3840 × 2160

Height solved, in pixels.

Your numbers, worked

H = W × 9 ÷ 16 = 3840 × 9 ÷ 16 = 2160

Whole number, so no rounding is needed.

Pixel-exact: a 16:9 size needs the width to be a multiple of 16, and 3840 is 240 × 16.

Questions

What aspect ratio is 3840x2160?

3840 × 2160 is 16:9 (1.778:1). Dividing both sides by their greatest common divisor, 240, gives 16 and 9. That is exactly 16:9.

How do I resize 3840x2160 without distortion?

Keep the ratio at 16:9: new height = new width × 9 ÷ 16. Dividing both sides by 2, 3, 4, 5, 6, 8 or 10 keeps whole pixels, for example 384 × 216 at ÷10.

What is 3840x2160 cropped to 9:16?

A centered 9:16 crop of 3840 × 2160 is 1215 × 2160, which keeps 31.6% of the image. Padding it to 9:16 instead gives a 3840 × 6827 canvas with 4,667 px of bars. That canvas is rounded, not exactly 9:16: the exact padded side would be 6826.67 px tall. The smallest exact 9:16 canvas around it is 3843 × 6832.

Nearby sizes

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Apart from the sourced notes above, which devices use this size, and marketing names for it, are not covered: we did not verify a primary source for them, so this page sticks to arithmetic.