
Decimal Degrees vs Degrees Minutes Seconds (DMS): Complete Guide
GPS coordinates can be written in multiple formats. The two most common are Decimal Degrees (DD) and Degrees, Minutes, Seconds (DMS). Understanding both is essential when working with maps, GPS devices, or geographic data.
The Two Main Formats
Decimal Degrees (DD)
40.7128° N, 74.0060° W
or simply
40.7128, -74.0060This modern format expresses coordinates as decimal numbers. It's the default for most digital applications, including Google Maps, GPS devices, and mobile apps.
Key characteristics:
- Positive values = North (latitude) or East (longitude)
- Negative values = South (latitude) or West (longitude)
- Typically shows 4-6 decimal places
- Easy for computers to process
Degrees, Minutes, Seconds (DMS)
40° 42' 46.08" N, 74° 0' 21.6" WThis traditional format divides each degree into 60 minutes, and each minute into 60 seconds—similar to how we measure time.
Key characteristics:
- Uses ° for degrees, ' for minutes, " for seconds
- Always includes cardinal direction (N, S, E, W)
- Traditional format used in aviation, maritime, surveying
- More intuitive for humans to read on paper maps
Quick Comparison
| Feature | Decimal Degrees | DMS |
|---|---|---|
| Format | 40.7128, -74.0060 | 40°42'46"N 74°0'22"W |
| Best for | Digital apps, GPS | Paper maps, aviation |
| Precision | 6 decimals ≈ 11cm | Seconds ≈ 30m |
| Math | Easy calculations | Requires conversion |
| Direction | + or - | N/S/E/W |
Converting DMS to Decimal Degrees
Formula:
DD = Degrees + (Minutes ÷ 60) + (Seconds ÷ 3600)Example: Convert 40° 42' 46" N to decimal
- Start with degrees: 40
- Add minutes ÷ 60: 42 ÷ 60 = 0.7
- Add seconds ÷ 3600: 46 ÷ 3600 = 0.0128
- Total: 40 + 0.7 + 0.0128 = 40.7128
Since it's North latitude, the value stays positive. For South or West, make it negative.
Converting Decimal Degrees to DMS
Example: Convert 40.7128 to DMS
- The whole number is degrees: 40°
- Multiply decimal by 60: 0.7128 × 60 = 42.768
- Whole number is minutes: 42'
- Multiply remaining decimal by 60: 0.768 × 60 = 46.08
- Result is seconds: 46.08"
Final answer: 40° 42' 46.08"
Precision Comparison
How much precision do you need?
| Decimal Places | Accuracy | Use Case |
|---|---|---|
| 0 (40°) | ~111 km | Country level |
| 1 (40.7°) | ~11 km | City level |
| 2 (40.71°) | ~1.1 km | Neighborhood |
| 3 (40.713°) | ~110 m | Street level |
| 4 (40.7128°) | ~11 m | Building |
| 5 (40.71280°) | ~1.1 m | Very precise |
| 6 (40.712800°) | ~11 cm | Survey quality |
For most purposes, 5 decimal places provides sufficient accuracy.
Which Format Should You Use?
Use Decimal Degrees When:
- Working with Google Maps, Apple Maps, GPS apps
- Programming or working with databases
- Sharing coordinates digitally
- Calculating distances or working with math
Use DMS When:
- Working with aviation or maritime charts
- Using paper topographic maps
- Surveying or professional cartography
- Historical or scientific documentation
Common Mistakes to Avoid
1. Mixing Up Latitude and Longitude
Latitude always comes first. Remember: "Lat comes before Long" alphabetically.
2. Wrong Signs for Negative Values
- West of Greenwich = negative longitude
- South of equator = negative latitude
3. Using Commas as Decimal Points
Some countries use commas (40,7128) but GPS systems expect periods (40.7128).
4. Confusing Minutes with Decimal
40° 42.77' is NOT the same as 40° 42' 77"
- 42.77 minutes = 42 minutes, 46.2 seconds
- 42' 77" is invalid (seconds max out at 60)
Finding Coordinates in Both Formats
Our GPS Coordinates tool displays your location in both formats automatically:
- Visit the page and allow location access
- See your coordinates in decimal and DMS
- Copy whichever format you need
Entering Coordinates
Most mapping services accept both formats:
Google Maps accepts:
- 40.7128, -74.0060 (decimal)
- 40°42'46"N 74°0'22"W (DMS)
Just paste either format into the search bar.
Related Articles:
WhatIsMyLocation Team
Our team of network engineers and web developers builds and maintains 25+ free networking and location tools used by thousands of users every month. Every article is reviewed for technical accuracy using real-world testing with our own tools.
Related Articles
Try Our Location Tools
Find your IP address, GPS coordinates, and more with our free tools.