UTM to Lat/Lng Converter

Convert UTM zone, easting and northing back to decimal lat/long

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This tool converts UTM coordinates — zone, easting and northing — back to WGS-84 decimal latitude and longitude. It is the inverse of the lat/long to UTM projection and is useful when a dataset, survey or map gives you metre-based grid references that you need as GPS coordinates.

How it works

The easting has its false easting of 500000 m removed, and in the southern hemisphere the false northing of 10000000 m is subtracted from the northing. The values are divided by the meridian-arc radius and the central-meridian scale factor k0 = 0.9996, then a Krüger inverse series in the conformal coordinates recovers the latitude and longitude offset from the zone’s central meridian:

central meridian = (zone - 1) * 6 - 180 + 3 degrees
longitude = central meridian + recovered offset

The series runs on the WGS-84 ellipsoid, so the result matches GPS coordinates directly.

Tips and notes

Always set the correct hemisphere — a southern-hemisphere northing looks identical to a northern one without it. UTM is valid only between about 80°S and 84°N. The inverse series is accurate to sub-millimetre level inside a zone, so round-tripping a coordinate through both converters returns the original value. Everything runs in your browser.

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