GPS Coordinates Converter

Convert between decimal degrees and DMS (degrees, minutes, seconds) coordinate formats. Includes radians, decimal minutes, city presets, and a landmark reference table.

°
°
Decimal Degrees
40.712800, -74.006000
Standard GPS format
DMS (Latitude)
40° 42' 46.08" N
Degrees Minutes Seconds
DMS (Longitude)
74° 0' 21.6" W
Degrees Minutes Seconds
Radians (Lat)
0.710572
For trig calculations
Radians (Lon)
-1.291648
For trig calculations
Hemisphere
Northern, Western
Based on sign of coordinates

Coordinate Format Reference

FormatLatitudeLongitude
Decimal Degrees40.7128-74.006
DMS40° 42' 46.08" N74° 0' 21.6" W
Radians0.710572-1.291648
Decimal Minutes40° 42.768' N74° 0.36' W

Landmark Coordinates Reference

LocationLatitudeLongitude
Statue of Liberty40.6892-74.0445
Eiffel Tower48.85842.2945
Great Wall of China40.4319116.5704
Machu Picchu-13.1631-72.545
Sydney Opera House-33.8568151.2153
Mount Everest27.988186.925
Planning notes, formulas, and examples

About the GPS Coordinates Converter

Geographic coordinates can be expressed in several formats: decimal degrees (40.7128°), degrees-minutes-seconds (40° 42' 46.08" N), or decimal minutes (40° 42.768' N). Different GPS devices, mapping services, and navigation tools use different formats, making conversion a frequent necessity for travelers, surveyors, geocachers, pilots, and anyone working with location data.

This coordinates converter handles bidirectional conversion between decimal degrees and DMS (degrees, minutes, seconds). Enter coordinates in either format and see all representations including radians for mathematical calculations. The tool includes preset buttons for major world cities and a landmark reference table for quick lookup.

Whether you are entering coordinates into a GPS device, converting between Google Maps and aviation charts, working with GIS data, or planning a geocaching adventure, this converter ensures your coordinates are in the right format every time. It also reduces sign and direction mistakes when sharing locations between teams using different coordinate standards and software tools.

When This Page Helps

GPS devices, mapping APIs, aviation charts, and survey documents all use different coordinate formats. Converting between decimal degrees and DMS requires division by 60 and handling of directional signs (N/S, E/W). This converter eliminates errors and provides four formats simultaneously for faster and safer data entry workflows in practice, especially when teams exchange coordinates frequently.

How to Use the Inputs

  1. Select the input format: Decimal Degrees or DMS.
  2. Enter the latitude and longitude values.
  3. For DMS, enter degrees, minutes, seconds, and direction separately.
  4. View all formats: decimal degrees, DMS, radians, and decimal minutes.
  5. Click city presets to load coordinates for major world cities.
  6. Reference the landmark table for famous coordinates.
Formula used
Decimal → DMS: degrees = floor(|decimal|); minutes = floor((|decimal| - degrees) × 60); seconds = ((|decimal| - degrees) × 60 - minutes) × 60 DMS → Decimal: decimal = degrees + minutes/60 + seconds/3600 Radians = degrees × π/180

Example Calculation

Result: 40° 42' 46.08" N, 74° 0' 21.6" W

New York City at 40.7128° N, 74.0060° W converts to DMS by extracting whole degrees (40°), then multiplying the fractional part by 60 for minutes (42.768'), and the remaining fraction by 60 for seconds (46.08").

Tips & Best Practices

  • Positive latitudes are North, negative are South. Positive longitudes are East, negative are West.
  • Google Maps uses decimal degrees; many aviation charts use DMS.
  • Always verify the coordinate order — some systems use lat, lon while others use lon, lat.
  • For high precision, use at least 6 decimal places (≈ 11 cm accuracy).
  • Radians are needed for haversine distance calculations and other trigonometric formulas.
  • When copying coordinates, include the N/S/E/W direction to avoid ambiguity in the sign convention.

Coordinate Systems Explained

The geographic coordinate system uses latitude (north-south, -90° to 90°) and longitude (east-west, -180° to 180°) to specify locations on Earth. The prime meridian (0° longitude) passes through Greenwich, England, and the equator (0° latitude) divides the northern and southern hemispheres.

Precision and Accuracy

The number of decimal places directly determines positioning accuracy. For geocaching, 5-6 decimal places are standard. For city-level work, 2-3 places suffice. Aviation uses DMS with seconds to one decimal place, giving roughly 3-meter precision.

Common Coordinate Mistakes

Swapping latitude and longitude (especially with negative values), omitting the negative sign for southern/western coordinates, confusing decimal degrees with decimal minutes, and mixing up seconds notation (") with inch marks are all common errors that this converter helps prevent.

Sources & Methodology

Last updated:

Frequently Asked Questions

  • Decimal degrees express the coordinate as a single number (40.7128°). DMS breaks it into degrees, minutes, and seconds (40° 42' 46.08"). They represent the same location in different formats.