Carat to Grain Converter
Weight · unit-converter
Convert Carat to Grain with a fixed input and output unit, step-by-step formula line, and reference tables. All calculations use gram-based factors (international avoirdupois pound and metric definitions). The full Weight Converter also includes carat, grain, and US/UK hundredweight.
Calculator
From: Carat (ct)
To: Grain (gr)
About Carat
The metric carat is exactly 0.2 grams (200 mg), commonly used for gemstones and jewelry.
About Grain
The grain is 1/7000 of a pound (exactly 64.79891 mg). It is used in ballistics, pharmacy, and precious-metal contexts.
How to convert carats to grains
1 carat is equal to 3.08647167058829 grain:
1 ct = (0.2 g ÷ 0.06479891 g) gr = 3.08647167058829 gr
Each carat is defined as 0.2 g and each grain as 0.06479891 g, so one ct equals 0.2 ÷ 0.06479891 gr = 3.08647167058829 gr.
Let w(ct) be the numeric value of the same mass measured in Carat (ct), and w(gr) the value in Grain (gr). Then:
w(gr) = w(ct) × (0.2 / 0.06479891)
Equivalently, divide by how many ct fit into one gr (grams per gr divided by grams per ct):
w(gr) = w(ct) ÷ 0.32399455
Or: grain = carat ÷ 0.32399455
Examples
Example #1: Convert 20 ct to grain
20 ct = 20 ct × (0.2/0.06479891) gr = 61.7294334118 gr
20 ct = 20 ct ÷ 0.32399455 = 61.7294334118 gr
Example #2: Convert 50 ct to grain
50 ct = 50 ct × (0.2/0.06479891) gr = 154.323583529 gr
50 ct = 50 ct ÷ 0.32399455 = 154.323583529 gr
Summary
To convert Carat to Grain, multiply the value in ct by the ratio of grams per ct divided by grams per gr. Equivalently: value_gr = value_ct × (0.2 / 0.06479891). Numerically, 1 ct equals 3.086471670588286 gr.
Relationship context
You are converting between metric (SI) (Carats) and imperial / UK (stone, long ton, pound, ounce) (Grains). Metric mass is decimal from the gram; US and imperial masses use pounds and ounces with fixed definitions relative to the kilogram. The numeric factor used here is 3.086472e+0.
Conversion tables
| Carat (ct) | Grain (gr) |
|---|---|
| 0.1 | 0.3086471671 |
| 1 | 3.0864716706 |
| 2 | 6.1729433412 |
| 3 | 9.2594150118 |
| 4 | 12.3458866824 |
| 5 | 15.4323583529 |
| 6 | 18.5188300235 |
| 7 | 21.6053016941 |
| 8 | 24.6917733647 |
| 9 | 27.7782450353 |
| Carat (ct) | Grain (gr) |
|---|---|
| 10 | 30.8647167059 |
| 20 | 61.7294334118 |
| 30 | 92.5941501176 |
| 40 | 123.458866824 |
| 50 | 154.323583529 |
| 60 | 185.188300235 |
| 70 | 216.053016941 |
| 80 | 246.917733647 |
| 90 | 277.782450353 |
| 100 | 308.647167059 |