Mass per volume density.
Grains per Milliliter to Carats per Cup Converter — gr/mL to ct/cup
Convert Grain per Milliliter (gr/mL) to Carat per Cup (ct/cup) using the exact conversion factor (1 grain per milliliter = 76.65329922 carat per cup). See the formula, worked examples, and conversion table.
Grains per Milliliter to Carats 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 64.79891 / 0.8453505675.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Milliliter to Carats per Cup
Grain per Milliliter and Carat 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
carats per cup = grains per milliliter × 76.6532992201
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per milliliter equals 64.79891 base units, and 1 carat per cup equals 0.845350567546 base units, so dividing one by the other gives the direct grain per milliliter-to-carat per cup factor of 76.6532992201.
Simple example
1 gr/mL × 76.65329922 = 76.65329922 ct/cup
1 grain per milliliter = 76.65329922 carats per cup.
Real-world example
1,000 gr/mL × 76.65329922 = 76,653.29922 ct/cup
1,000 grains per milliliter = 76,653.29922 carats per cup.
Conversion table
| Grain per Milliliter (gr/mL) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 gr/mL | 7.665329922 ct/cup |
| 1 gr/mL | 76.65329922 ct/cup |
| 10 gr/mL | 766.5329922 ct/cup |
| 100 gr/mL | 7,665.329922 ct/cup |
| 1,000 gr/mL | 76,653.29922 ct/cup |
| 10,000 gr/mL | 766,532.9922 ct/cup |
Reverse conversion: Carat per Cup to Grain per Milliliter
76.65329922 ct/cup × 0.01304575289 = 1 gr/mL
76.65329922 carats per cup = 1 grains per milliliter.
grains per milliliter = carats per cup × 0.0130457528922
For a page dedicated to this direction, see Carat per Cup to Grain per Milliliter.
Understanding the Grain per Milliliter (gr/mL)
Mass per volume density.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per cup are in 1 grain per milliliter?
1 grain per milliliter equals 76.65329922 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per milliliter to carat per cup?
Multiply the grain per milliliter value by 76.65329922. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to grain per milliliter?
Use the reverse factor: 1 carat per cup equals 0.0130457529 grains per milliliter. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per milliliter?
Grain per Milliliter (gr/mL) is a unit of density.
What is a carat per cup?
Carat per Cup (ct/cup) is a unit of density.
Is the grain per milliliter to carat per cup conversion exact?
Yes. Both grain per milliliter and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 76.65329922 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.