Mass per volume density.
Grains per Gallon to Stones per Cup Converter — gr/gal to st/cup
Convert Grain per Gallon (gr/gal) to Stone per Cup (st/cup) using the exact conversion factor (1 grain per gallon = 6.377551e-7 stone per cup). See the formula, worked examples, and conversion table.
Grains per Gallon to Stones per Cup converter
Converter
Density Converter
Convert thousands of mass-per-volume density combinations for science, engineering, agriculture, and fluids.
Context values
Some unit families need one extra value for a physically accurate result.
Mass per volume density.
Result = input x 0.01711806105 / 26841.11972.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Gallon to Stones per Cup
Grain per Gallon and Stone per Cup both measure density — mass per unit volume — a property used to identify materials, check manufacturing quality, and predict whether something floats or sinks. As a fixed reference point, water has a density of exactly 1000 kg/m³ (1 g/cm³, 1 g/mL) at its temperature of maximum density, which is why many density figures in science and engineering are quoted relative to water. Both are mass per volume density units.
Formula
stones per cup = grains per gallon × 6.377551e-7
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per gallon equals 0.0171180610453 base units, and 1 stone per cup equals 26841.119719 base units, so dividing one by the other gives the direct grain per gallon-to-stone per cup factor of 6.377551e-7.
Simple example
1 gr/gal × 6.377551e-7 = 6.377551e-7 st/cup
1 grain per gallon = 6.377551e-7 stones per cup.
Real-world example
1,000 gr/gal × 6.377551e-7 = 0.0006377551 st/cup
1,000 grains per gallon = 0.0006377551 stones per cup.
Conversion table
| Grain per Gallon (gr/gal) | Stone per Cup (st/cup) |
|---|---|
| 0.1 gr/gal | 6.377551e-8 st/cup |
| 1 gr/gal | 6.377551e-7 st/cup |
| 10 gr/gal | 0.0000063776 st/cup |
| 100 gr/gal | 0.0000637755 st/cup |
| 1,000 gr/gal | 0.0006377551 st/cup |
| 10,000 gr/gal | 0.006377551 st/cup |
Reverse conversion: Stone per Cup to Grain per Gallon
6.377551e-7 st/cup × 1568000 = 0.9999999968 gr/gal
6.377551e-7 stones per cup = 0.9999999968 grains per gallon.
grains per gallon = stones per cup × 1568000
For a page dedicated to this direction, see Stone per Cup to Grain per Gallon.
Understanding the Grain per Gallon (gr/gal)
Mass per volume density.
Understanding the Stone per Cup (st/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many stones per cup are in 1 grain per gallon?
1 grain per gallon equals 6.377551e-7 stones per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per gallon to stone per cup?
Multiply the grain per gallon value by 6.377551e-7. The converter above does this instantly to whatever precision you set.
How do I convert stone per cup back to grain per gallon?
Use the reverse factor: 1 stone per cup equals 1,568,000 grains per gallon. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per gallon?
Grain per Gallon (gr/gal) is a unit of density.
What is a stone per cup?
Stone per Cup (st/cup) is a unit of density.
Is the grain per gallon to stone per cup conversion exact?
Yes. Both grain per gallon and stone per cup are defined by fixed standards rather than physical artifacts, so the factor of 6.377551e-7 used above is exact to as many digits as you choose to display.
What's the difference between density and mass concentration?
Density is the mass of a pure substance or material per unit volume. Mass concentration is the mass of one component — like a dissolved solute — within a mixture's total volume. The two use the same kind of units but describe different physical situations.