Calculator Tools
Crop Factor Calculator
Convert a lens to its full-frame equivalent focal length and aperture for any sensor. Crop factor, angle of view, and a sensor-to-sensor comparison.
Mode
Pick a sensor and a lens to get the full-frame equivalent focal length, the equivalent aperture for depth of field, and the angle of view.
Sony E, Nikon DX, Fujifilm X, Pentax. The common APS-C size.
Result
Full-frame equivalent focal length
Frames like a 70 mm lens on full frame: short telephoto, flattering for portraits.
76.7 mm
Crop factor
Full-frame diagonal divided by this sensor's diagonal.
1.534x
Sensor diagonal
23.5 x 15.6 mm active area.
28.21 mm
Equivalent aperture
f/1.8 here gives the depth of field and total light of f/2.76 on full frame. The exposure brightness does not change.
f/2.76
Diagonal angle of view
31.5°
Horizontal angle of view
26.4°
Vertical angle of view
17.7°
How the crop factor works
Crop factor:the ratio of the full-frame diagonal (about 43.27 mm for a 36 x 24 mm sensor) to your sensor's diagonal. A smaller sensor has a larger crop factor, so it captures a narrower slice of the scene from the same lens.
Equivalent focal length: focal length multiplied by the crop factor. It tells you which full-frame lens gives the same field of view, which is the only fair way to compare framing between different sensor sizes. The real focal length printed on the lens never changes; only the captured field of view does.
Equivalent aperture: f-number multiplied by the crop factor, used to compare depth of field and the total amount of light gathered for an equivalent framing. f/2.8 on a 2x crop sensor renders the depth of field of f/5.6 on full frame. This does not change exposure: f/2.8 still meters as f/2.8 for shutter and ISO. It only describes the background blur and whole-frame light.
Angle of view is computed directly from the real focal length and the sensor dimensions with AOV = 2 x arctan(dimension / (2 x focal length)), reported across the diagonal, the width, and the height.
Common sensor sizes and crop factors
| Format | Size (mm) | Crop factor |
|---|---|---|
| Medium format (44 x 33) | 43.8 x 32.9 | 0.79x |
| Full frame (35mm) | 36 x 24 | 1x |
| APS-H (1.3x) | 28.7 x 19 | 1.26x |
| APS-C Canon (1.6x) | 22.3 x 14.9 | 1.61x |
| APS-C (1.5x) | 23.5 x 15.6 | 1.53x |
| Micro Four Thirds (2x) | 17.3 x 13 | 2x |
| 1 inch (2.7x) | 13.2 x 8.8 | 2.73x |
| Super 16 cine | 12.52 x 7.41 | 2.97x |
| 2/3 inch | 8.8 x 6.6 | 3.93x |
| 1/1.7 inch | 7.6 x 5.7 | 4.55x |
| 1/2.3 inch | 6.17 x 4.55 | 5.64x |
Sensor dimensions are nominal active image areas and vary slightly between camera models, so crop factors are approximate. Full frame is 1.0 by definition. Anything larger than full frame, such as medium format, has a crop factor below 1.
How to use
- Choose Lens on a sensor, then pick your camera sensor from the list or enter a custom width and height in millimetres.
- Type the focal length printed on the lens, for example 50, to get the full-frame equivalent focal length and the angle of view.
- Optionally enter the aperture as an f-number to also see the equivalent aperture for depth of field and total light.
- Switch to Compare two sensors to pick a first and second sensor and read the focal length that frames the same scene on the second one.
- Copy the summary for your notes, or reset to return every field to its starting values.
About this tool
Crop Factor Calculator translates a lens between sensor sizes so you can compare cameras and lenses on equal terms. Every interchangeable-lens camera has a sensor, and the size of that sensor decides how much of the scene a given lens actually captures. The crop factor is the single number that captures the difference: it is the ratio of the 35mm full-frame diagonal, about 43.27 mm for a 36 x 24 mm frame, to your sensor's own diagonal. A smaller sensor has a larger crop factor and records a narrower slice of the image circle, which is why a 50 mm lens looks more zoomed-in on a crop body than on full frame. The tool turns that crop factor into the three answers photographers search for. First is the full-frame equivalent focal length, the real focal length multiplied by the crop factor, which tells you which 35mm lens frames the same field of view: a 50 mm lens on a 1.5x APS-C body frames like a 75 mm lens on full frame, and a 25 mm lens on a 2x Micro Four Thirds body frames like a 50 mm normal lens. The real focal length printed on the barrel never changes; only the captured angle of view does, and stating the equivalent is the only fair way to compare framing across formats. Second is the equivalent aperture, the f-number multiplied by the same crop factor, used to compare depth of field and the total light gathered for an equivalent framing. f/2.8 on a 2x crop sensor renders the depth of field and the whole-frame light of f/5.6 on full frame, which is why larger sensors are prized for background separation. This is a depth-of-field and total-light comparison only: f/2.8 still meters as f/2.8 for shutter speed and ISO, so the exposure brightness is unchanged. Third is the angle of view, computed directly from the real focal length and the sensor dimensions with the rectilinear model AOV = 2 x arctan(dimension / (2 x focal length)), and reported across the diagonal, the horizontal width, and the vertical height so you know exactly how wide the shot is. A second mode compares any two sensors head to head, from full frame against APS-C to a phone sensor against Micro Four Thirds, and reports the relative crop and the focal length on the second sensor that frames the same scene as a chosen focal length on the first, which is the calculation behind adapting a lens or switching systems. Presets cover medium format, full frame, APS-H, both common APS-C sizes, Micro Four Thirds, 1 inch, Super 16, and several compact and phone sensor sizes, and a custom option accepts any width and height in millimetres so unusual or cinema sensors work too. Every figure is computed in your browser with plain trigonometry and ratios. The camera, lens, and sensor values you enter never leave your device and no lookups are made.
Free to use. Works in your browser. No signup, no login.
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