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Coordinates Converter (DMS to Decimal)

Convert GPS coordinates between decimal degrees and degrees, minutes and seconds (DMS).

About the Coordinates Converter (DMS to Decimal)

Type coordinates in any common format: decimal degrees, degrees-minutes-seconds or degrees and decimal minutes. The calculator converts them to all three.

There are 60 minutes in a degree and 60 seconds in a minute. Decimal degrees (40.689278) are used by Google Maps and most apps; DMS (40° 41′ 21.4″ N) appears on charts and older GPS units; degrees and decimal minutes (40° 41.357′) are common in marine and aviation navigation. South latitudes and west longitudes are negative in decimal form.

The formula

Decimal = degrees + minutes ÷ 60 + seconds ÷ 3600

Worked example

The Statue of Liberty: 40° 41′ 21.4″ N, 74° 2′ 40.2″ W

  1. 40 + 41 ÷ 60 + 21.4 ÷ 3,600 = 40.689278
  2. West is negative: −74.0445
  3. Decimal minutes: 40° 41.3567′ N, 74° 2.67′ W

Questions people ask

How precise is 5 decimal places?

About 1.1 m at the equator.

Which comes first?

Latitude (north–south), then longitude (east–west).