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Crop Factor & Equivalent Focal Length Calculator

What your lens 'really is' on any sensor: equivalent focal length, equivalent aperture for DoF, and the light-gathering truth behind the equivalence wars.

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Full-frame equivalent FL (mm)
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Equivalent aperture (DoF)
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Crop factor
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Diagonal field of view (ยฐ)

The part spec sheets omit: crop factor applies to the f-number too โ€” for depth of field and TOTAL light collected. A 25mm f/1.4 on Micro 4/3 frames and blurs like a 50mm f/2.8 on full frame. Per-area exposure (metering) is unchanged; that's why both claims in the equivalence wars are 'right.'

Formula

equivalent FL = f ร— crop; equivalent aperture (DoF/total light) = N ร— crop; crop = 43.27 mm รท sensor diagonal
References: Ray, S., Applied Photographic Optics (Focal Press); CIPA sensor format standards / equivalence literature

โš ๏ธ Optical estimates based on standard formulas and circle-of-confusion conventions โ€” lens markings, sensor specs and real-world testing have the final word.

What your lens 'really is' on any sensor: equivalent focal length, equivalent aperture for DoF, and the light-gathering truth behind the equivalence wars.

About Crop Factor & Equivalent Focal Length Calculator

Mount the same 35mm lens on three different cameras and you've taken three different photographs: full-frame sees a moderate wide, APS-C a normal, Micro 4/3 a short tele. Crop factor โ€” the ratio of sensor diagonals โ€” is the exchange rate between these worlds, and it converts more than focal length: depth of field and total light gathered follow it too. This calculator gives the full-frame-equivalent focal length, the equivalent aperture nobody prints on the lens, and the actual field of view in degrees.

How to use Crop Factor & Equivalent Focal Length Calculator

  1. 1Enter โ€” sensible defaults are pre-filled so you see a worked result immediately.
  2. 2Read the live results: .
  3. 3Check the "With your numbers" line to see the formula equivalent FL = f ร— crop; equivalent aperture (DoF/total light) = N ร— crop; crop = 43.27 mm รท sensor diagonal substituted step by step.
  4. 4Adjust inputs (or flip the unit toggle) until the scenario matches yours, then copy or share the result.

Why use Crop Factor & Equivalent Focal Length Calculator?

  • โœ“Instant, free and private โ€” every calculation runs in your browser, nothing is uploaded
  • โœ“Built on the published formula equivalent FL = f ร— crop; equivalent aperture (DoF/total light) = N ร— crop; crop = 43.27 mm รท sensor diagonal with sources cited on the page
  • โœ“The part spec sheets omit: crop factor applies to the f-number too โ€” for depth of field and TOTAL light collected. A 25mm f/1.4 on Micro 4/3 frames and blurs like a 50mm f/2.8 on full frame. Per-area exposure (metering) is unchanged; that's why both claims in the equivalence wars are 'right.'
  • โœ“Switch units, tweak any input and watch every result update live

Frequently asked questions

Does a crop sensor 'turn my 50mm into a 75mm'?+

It changes nothing inside the lens โ€” focal length is physics, not framing. What changes is how much of the image circle the sensor keeps: APS-C crops the centre, producing the FIELD OF VIEW a 75mm would give on full frame. Perspective, being a function of where you stand, is untouched. The honest sentence: 'a 50mm on APS-C frames like a 75mm.' For most practical decisions (what lens do I need for this shot?) the equivalent number is exactly the right currency.

Why do you multiply the f-number by the crop factor too?+

Because depth of field and background blur depend on the physical aperture diameter relative to the (equivalent) framing: a 50mm f/1.8 on APS-C frames like 75mm but blurs like f/2.7 on full frame โ€” same shot, visibly deeper focus. Total light captured (sensor area ร— per-area intensity) scales the same way, which sets the noise floor at equal final-image size. What does NOT change is per-area exposure: f/1.8 meters as f/1.8 on any sensor โ€” both sides of every internet equivalence war are defending different, correct statements.

What are the standard crop factors?+

Against the 43.27mm full-frame diagonal: APS-C 1.5 (Nikon/Sony/Fuji) or 1.6 (Canon); Micro 4/3 2.0; 1-inch 2.7; typical flagship-phone main sensors 3.5โ€“4.5; going the other way, medium format 44ร—33 is 0.79 (a 'reverse crop' โ€” an 80mm f/2.8 frames like 63mm f/2.2). The number is just diagonal ratio; this tool's table carries the sensor dimensions underneath it.

Should I buy lenses by real or equivalent focal length?+

Think in equivalents, buy in reals: decide the framing language first (24-eq wide, 50-eq normal, 85-eq portrait โ€” these define genres regardless of system), then divide by your crop factor to shop. The classic trio on APS-C: 16, 33 and 56mm. Mind the aperture column when comparing systems: a 56mm f/1.2 APS-C lens and an 85mm f/1.8 full-frame lens are nearly the same instrument (85-eq, f/1.8-eq) โ€” which reframes many price comparisons honestly.

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