JoseFitani
🧭 Coordinate Converters

Decimal Degrees to DMS Converter

Convert decimal degrees to DMS format. Perfect for converting GPS coordinates to traditional notation.

This page explains how the decimal degrees to dms converter works, the data and formulas behind it, and how to interpret the result. Coordinate conversions are exact to machine precision; the only source of error is the precision of the input. All formats describe the same location - the notation just differs. The tool is one of 329 free, open tools on JoseFitani for maps and geography. It runs in your browser with no sign-up needed. Use the search field or click the map to drop a pin - the tool uses standard mathematical formulas for each format, all based on the WGS84 datum (EPSG:4326) and returns the result in seconds. Below you'll find a step-by-step guide, real use cases, the methodology, FAQs, and data sources.

Decimal Degrees
48.858400°, 2.294500°
Degrees Minutes Seconds
48° 51' 30.24" N, 2° 17' 40.2" E
UTM
31N 448252E 5411955.03N
MGRS
31UDQ 48252 11955
Plus Code
8FW4V75V+9R

MGRS is derived from the WGS84 ellipsoid series used on this site (accurate to a few metres) — suitable for reference and education, not for survey-grade work. Plus Codes follow the Open Location Code specification.

How to use this tool

1
Enter your input

Type your query, paste coordinates, or click on the map. The tool uses standard mathematical formulas for each format, all based on the WGS84 datum (EPSG:4326) to process your input locally in the browser.

2
View the result

The result appears instantly with the map showing your location. You can adjust by clicking elsewhere or searching a new place.

3
Copy or share

Click Copy to save to clipboard, or Share to send a direct link with the exact inputs.

What people use this tool for

Labelling a printed topographic map

Paper topographic maps print their graticule ticks in DMS or degrees and decimal minutes, not decimal degrees. Converting GPS readings into DMS lets a trekker pencil the route onto the printed sheet accurately and navigate by map and compass.

Example: A trekker in Nepal converts GPS decimal readings into DMS to plot each day's camps on a printed topographic map that uses degree and minute graticules.
Completing aviation registration forms

Aviation authorities and official registers frequently require positions in DMS as the formal notation. Converting the decimal output of a GPS or mapping tool into DMS produces the exact format the paperwork expects, avoiding rejected submissions.

Example: A pilot in Kenya converts an airstrip's decimal position into DMS because the aviation authority's registration form requires that traditional format.
Publishing coordinates in a field guide

Scientific journals and field guides in natural history conventionally list specimen and observation coordinates in DMS. Converting decimal field data into DMS matches the publication's house style and its readers' expectations.

Example: An ornithologist in Costa Rica converts nest-site decimals into DMS for the species account in a regional field guide.
Checking sextant practice sights

Celestial navigation students reduce sextant sights to a DMS position, then want to verify against the GPS. Converting the GPS decimal readout into DMS puts both positions in the same notation for a direct comparison of the sight's accuracy.

Example: A sailing student in Lisbon converts the yacht's GPS decimal position into DMS to compare with the position worked out from a morning sun sight.

How it's calculated

The integer part is degrees. Multiply the remainder by 60 to get minutes; the fractional part of minutes x 60 gives seconds.

The calculation runs in your browser - no data is sent to our servers. Map tiles come from OpenStreetMap (ODbL license), geocoding uses Nominatim (1 request/second limit), and elevation uses the Open-Elevation API backed by SRTM data. All are free, open services.

All calculations use the WGS84 datum (EPSG:4326), the same as GPS. For other datums (NAD27, NAD83, ETRS89), a separate conversion is needed. The difference is typically under 1 metre - negligible for most uses but important for survey-grade work.

The formulas match those in professional GIS software (QGIS, ArcGIS, Global Mapper), just in a browser-friendly form. For sub-metre accuracy, use professional software with ellipsoidal calculations. Results are shown in multiple units: km and miles for distance, km²/m²/hectares/acres for area, metres and feet for elevation. Conversion factors are exact (1 mile = 1.609344 km), so the only error source is input precision.

Related tools and resources

For more tools in this category, explore the related tools listed below. Each tool includes full documentation, examples and FAQs. Explore related tools in our Coordinates category for complementary functionality. See the Tools index for all 329 tools, or read our blog for in-depth articles on geography and maps.

Frequently asked questions

How precise is the result?

Seconds are shown to three decimal places - more than enough for most applications.

How does the conversion from decimal degrees to DMS work?

The whole-number part becomes the degrees. Multiply the fractional remainder by 60 to get minutes, then multiply the new remainder by 60 to get seconds. For example, 48.8584 degrees gives 48 degrees, and 0.8584 times 60 gives 51 minutes, and the leftover times 60 gives about 30.2 seconds.

Should seconds be rounded or kept as decimals?

Either is valid; choose based on the precision you need. Whole seconds give roughly 30-metre precision, fine for general navigation, while one decimal place of seconds gets you to a few metres. Whatever you choose, be consistent within a document so readers are not misled.

How are negative decimal values expressed in DMS?

With a hemisphere letter: -33.8689 becomes 33 degrees 52 minutes 08 seconds S, and -151.21 longitude becomes 151 degrees 12 minutes 36 seconds W. The minus sign belongs only on the degrees in signed notation; in DMS the S or W letter carries the meaning instead.

Why does my result show 60 seconds or 60 minutes?

Rounding can push a value like 59.96 seconds up to a displayed 60, which is not valid DMS notation. The correct form carries the excess over: 60 seconds becomes one minute added to the minutes, and 60 minutes becomes one degree. The tool performs this carry automatically.

Can I get degrees and decimal minutes instead of seconds?

Yes: stop after the minutes step and keep the fractional minute, such as 48 degrees 51.5 minutes. This degrees-decimal-minutes format is standard in marine navigation and many GPS unit displays. Whole-second DMS and decimal minutes describe the identical position.

Does the decimal-to-DMS conversion work offline?

Yes. The conversion is straightforward arithmetic that runs entirely in your browser with no server involved. It works anywhere, including without any network signal.

Which notation do paper maps actually use?

Most topographic maps print DMS, or degrees with decimal minutes, on their graticule ticks and margin notes. Nautical charts traditionally use degrees and decimal minutes. Check the map's margin or legend to match whichever convention that particular sheet follows.

How much ground does one second of arc cover?

One second of latitude is about 30 metres everywhere. One second of longitude is also about 30 metres at the equator but shrinks toward the poles as the meridians converge. For work needing finer resolution than whole seconds, use decimal seconds or decimal degrees.

Data sources & methodology