UnitsConverter

Gram-force to Newton Converter

Convert grams-force to newtons with our free online force converter.

Quick Answer

1 Gram-force = 0.009807 newtons

Formula: Gram-force Ɨ conversion factor = Newton

Use the calculator below for instant, accurate conversions.

Our Accuracy Guarantee

All conversion formulas on UnitsConverter.io have been verified against NIST (National Institute of Standards and Technology) guidelines and international SI standards. Our calculations are accurate to 10 decimal places for standard conversions and use arbitrary precision arithmetic for astronomical units.

Last verified: February 2026Reviewed by: Sam Mathew, Software Engineer

Gram-force to Newton Calculator

How to Use the Gram-force to Newton Calculator:

  1. Enter the value you want to convert in the 'From' field (Gram-force).
  2. The converted value in Newton will appear automatically in the 'To' field.
  3. Use the dropdown menus to select different units within the Force category.
  4. Click the swap button (ā‡Œ) to reverse the conversion direction.
Share:

How to Convert Gram-force to Newton: Step-by-Step Guide

Converting Gram-force to Newton involves multiplying the value by a specific conversion factor, as shown in the formula below.

Formula:

N = gf Ɨ 0.00980665

Example Calculation:

1 gf = 0.009807 N

Disclaimer: For Reference Only

These conversion results are provided for informational purposes only. While we strive for accuracy, we make no guarantees regarding the precision of these results, especially for conversions involving extremely large or small numbers which may be subject to the inherent limitations of standard computer floating-point arithmetic.

Not for professional use. Results should be verified before use in any critical application. View our Terms of Service for more information.

Need to convert to other force units?

View all Force conversions ā†’
šŸ“Š Force Table

Print-friendly conversion reference

šŸ“‹ Unit Symbols

Copy gf & N symbols

What is a Gram-force and a Newton?

Gram-force (gf) is the force exerted by one gram of mass under standard gravity (9.80665 m/sĀ²).

Formula: 1 gf = 1 gram Ɨ 9.80665 m/sĀ²

Conversions:

  • 1 gf = 0.00980665 N (newtons)
  • 1 gf = 9.80665 mN (millinewtons)
  • 1 gf = 980.665 dynes
  • 1 gf = 0.001 kgf (kilogram-force)
  • 1 gf = 0.00220462 lbf (pounds-force)
  • 1 gf = 0.035274 ozf (ounce-force)

The newton (N) is the SI unit of force. 1 N = force to accelerate 1 kg mass at 1 m/sĀ².

Formula: F = ma (Force = mass Ɨ acceleration)

Conversions:

  • 1 N = 0.225 lbf (pounds-force)
  • 1 N = 0.102 kgf (kilogram-force)
  • 1000 N = 1 kN (kilonewton)

Note: The Gram-force is part of the metric (SI) system, primarily used globally in science and trade. The Newton belongs to the imperial/US customary system.

History of the Gram-force and Newton

Gram-force emerged from the metric gravitational system of units, which was widely used in continental Europe before the adoption of SI units. The unit is also known as "gram-weight" or "pond" (from the Latin word for weight). While it remains in common use for consumer scales, spring specifications, and small mechanical devices, scientific and engineering applications increasingly prefer SI units like millinewtons. The gram-force is particularly persistent in industries like watchmaking, jewelry, and precision instruments where tradition and existing equipment favor its continued use.

Named after Isaac Newton who formulated F = ma in 1687. Adopted as SI unit in 1948.

Common Uses and Applications: grams-force vs newtons

Explore the typical applications for both Gram-force (metric) and Newton (imperial/US) to understand their common contexts.

Common Uses for grams-force

Laboratory Equipment: Spring scales, force gauges, material testing of small samples.

Watchmaking: Mainspring tension specifications (typically 50-500 gf).

Jewelry: Measuring clasp strength and chain durability.

Mechanical Engineering: Small spring constants, contact force specifications.

Consumer Products: Kitchen scales, postal scales, fishing line strength.

When to Use newtons

Engineering: Structural loads, material testing, mechanical design.

Physics: All force calculations, dynamics, statics.

Automotive: Braking force, thrust, suspension loads.

Aerospace: Rocket thrust, lift, drag forces.

Additional Unit Information

About Newton (N)

How do I convert newtons to pounds-force?

Formula: lbf = N Ɨ 0.224809

Examples:

  • 100 N = 22.5 lbf
  • 500 N = 112 lbf
  • 1000 N = 225 lbf
  • 4448 N = 1000 lbf

Newtons to Pounds-force converter ā†’

How many newtons equal one pound of force?

1 pound-force (lbf) = 4.448 newtons

Quick conversions:

  • 1 lbf = 4.448 N
  • 10 lbf = 44.48 N
  • 100 lbf = 444.8 N
  • 1000 lbf = 4448 N

Pounds-force to Newtons converter ā†’

What is 1 newton of force?

1 newton is:

  • Force to accelerate 1 kg at 1 m/sĀ²
  • Weight of ~100g mass (small apple)
  • About 0.225 pounds-force
  • Very small force for most applications

Examples:

  • 1 N = small apple weight
  • 10 N = strong finger push
  • 100 N = firm hand push
  • 1000 N = person standing on one foot

How much force is 1000 newtons?

1000 N = 1 kilonewton (kN) = 225 pounds-force

Common 1000 N forces:

  • Weight of ~100 kg mass
  • Strong person pulling
  • Small structural beam load
  • Bicycle brake force

Convert 1000 N to other units ā†’

Conversion Table: Gram-force to Newton

Gram-force (gf)Newton (N)
0.50.005
10.01
1.50.015
20.02
50.049
100.098
250.245
500.49
1000.981
2502.452
5004.903
1,0009.807

People Also Ask

How do I convert Gram-force to Newton?

To convert Gram-force to Newton, enter the value in Gram-force in the calculator above. The conversion will happen automatically. Use our free online converter for instant and accurate results. You can also visit our force converter page to convert between other units in this category.

Learn more ā†’

What is the conversion factor from Gram-force to Newton?

The conversion factor depends on the specific relationship between Gram-force and Newton. You can find the exact conversion formula and factor on this page. Our calculator handles all calculations automatically. See the conversion table above for common values.

Can I convert Newton back to Gram-force?

Yes! You can easily convert Newton back to Gram-force by using the swap button (ā‡Œ) in the calculator above, or by visiting our Newton to Gram-force converter page. You can also explore other force conversions on our category page.

Learn more ā†’

What are common uses for Gram-force and Newton?

Gram-force and Newton are both standard units used in force measurements. They are commonly used in various applications including engineering, construction, cooking, and scientific research. Browse our force converter for more conversion options.

For more force conversion questions, visit our FAQ page or explore our conversion guides.

Helpful Conversion Guides

Learn more about unit conversion with our comprehensive guides:

šŸ“š How to Convert Units

Step-by-step guide to unit conversion with practical examples.

šŸ”¢ Conversion Formulas

Essential formulas for force and other conversions.

āš–ļø Metric vs Imperial

Understand the differences between measurement systems.

āš ļø Common Mistakes

Learn about frequent errors and how to avoid them.

View All Guides ā†’

All Force Conversions

Newton to MillinewtonNewton to KilonewtonNewton to MeganewtonNewton to DyneNewton to Pound-forceNewton to Kilogram-forceNewton to Gram-forceNewton to Metric Ton-forceNewton to US Ton-forceNewton to UK Ton-forceNewton to PoundalNewton to Ounce-forceNewton to KipMillinewton to NewtonMillinewton to KilonewtonMillinewton to MeganewtonMillinewton to DyneMillinewton to Pound-forceMillinewton to Kilogram-forceMillinewton to Gram-forceMillinewton to Metric Ton-forceMillinewton to US Ton-forceMillinewton to UK Ton-forceMillinewton to PoundalMillinewton to Ounce-forceMillinewton to KipKilonewton to NewtonKilonewton to MillinewtonKilonewton to MeganewtonKilonewton to DyneKilonewton to Pound-forceKilonewton to Kilogram-forceKilonewton to Gram-forceKilonewton to Metric Ton-forceKilonewton to US Ton-forceKilonewton to UK Ton-forceKilonewton to PoundalKilonewton to Ounce-forceKilonewton to KipMeganewton to NewtonMeganewton to MillinewtonMeganewton to KilonewtonMeganewton to DyneMeganewton to Pound-forceMeganewton to Kilogram-forceMeganewton to Gram-forceMeganewton to Metric Ton-forceMeganewton to US Ton-forceMeganewton to UK Ton-forceMeganewton to PoundalMeganewton to Ounce-forceMeganewton to KipDyne to NewtonDyne to MillinewtonDyne to KilonewtonDyne to MeganewtonDyne to Pound-forceDyne to Kilogram-forceDyne to Gram-forceDyne to Metric Ton-forceDyne to US Ton-forceDyne to UK Ton-forceDyne to PoundalDyne to Ounce-forceDyne to KipPound-force to NewtonPound-force to MillinewtonPound-force to KilonewtonPound-force to MeganewtonPound-force to DynePound-force to Kilogram-forcePound-force to Gram-forcePound-force to Metric Ton-forcePound-force to US Ton-forcePound-force to UK Ton-forcePound-force to PoundalPound-force to Ounce-forcePound-force to KipKilogram-force to NewtonKilogram-force to MillinewtonKilogram-force to KilonewtonKilogram-force to MeganewtonKilogram-force to DyneKilogram-force to Pound-forceKilogram-force to Gram-forceKilogram-force to Metric Ton-forceKilogram-force to US Ton-forceKilogram-force to UK Ton-forceKilogram-force to PoundalKilogram-force to Ounce-forceKilogram-force to KipGram-force to MillinewtonGram-force to KilonewtonGram-force to MeganewtonGram-force to DyneGram-force to Pound-forceGram-force to Kilogram-forceGram-force to Metric Ton-forceGram-force to US Ton-forceGram-force to UK Ton-forceGram-force to PoundalGram-force to Ounce-forceGram-force to KipMetric Ton-force to NewtonMetric Ton-force to MillinewtonMetric Ton-force to KilonewtonMetric Ton-force to MeganewtonMetric Ton-force to DyneMetric Ton-force to Pound-forceMetric Ton-force to Kilogram-forceMetric Ton-force to Gram-forceMetric Ton-force to US Ton-forceMetric Ton-force to UK Ton-forceMetric Ton-force to PoundalMetric Ton-force to Ounce-forceMetric Ton-force to KipUS Ton-force to NewtonUS Ton-force to MillinewtonUS Ton-force to KilonewtonUS Ton-force to Meganewton

Other Force Units and Conversions

Explore other force units and their conversion options:

View all force units ā†’

Verified Against Authority Standards

All conversion formulas have been verified against international standards and authoritative sources to ensure maximum accuracy and reliability.

NIST Reference on Constants, Units and Uncertainty

National Institute of Standards and Technology ā€” Fundamental physical constants and unit conversions

BIPM SI Units

Bureau International des Poids et Mesures ā€” International System of Units (SI) definitions and standards

ISO 80000

International Organization for Standardization ā€” Quantities and units international standards series

Last verified: February 19, 2026