⚖️ gr to ct — Grain to Carat Converter

Convert weight and mass units — kilograms, pounds, grams, ounces, tons, carats and more.

1 unit =
From
To
Formula 1 gr = 0.324 ct
Quick Answer — Formula1 gr = 0.324 ctMultiply grains by 0.324 to get carats.Reverse: 1 ct = 3.08642 gr
UnitNameValue
0.001 gr0.000324 ct
0.01 gr0.00324 ct
0.1 gr0.0324 ct
1 gr0.324 ct
5 gr1.62 ct
10 gr3.24 ct
50 gr16.2 ct
100 gr32.4 ct
1000 gr324 ct

About Grain to Carat Conversion

The Milligram (mg) and the Gram (g) are both units of weight & mass. Converting between them is straightforward using the formula above.

Formula: 1 gr = 0.324 ct

This converter uses internationally recognized conversion factors. All calculations are performed client-side in your browser — no data is sent to any server.

Worked Examples: Grain to Carat

A 1-carat diamond solitaire
1 gr = 0.324 ct
The classic engagement ring stone is a 1-carat diamond = 0.2 g. Jewellers worldwide quote gemstone weight in carats and fractions of carats.
A large gemstone
5 gr = 1.62 ct
A 5-carat ruby is considered a fine specimen — it weighs just 1 gram, showing how small even prestigious gemstones truly are.
A tola of gold bar
1 gr = 0.324 ct
A 1-tola gold bar (≈11.66 g) is the most common retail gold investment unit across India, Pakistan, and UAE.
A gem-quality sapphire
3 gr = 0.972 ct
A 3-carat blue sapphire weighs 0.6 g. The per-carat price of fine sapphires can exceed $10,000, so precise weight measurement is critical.

Grain to Carat Reference Table

Grain (gr)Carat (ct)Real-world context
1 gr0.324 ctgrain of wheat
10 gr3.24 ct
100 gr32.4 ct
500 gr162 ct
1000 gr324 ct

Mental Math Tricks: Grain to Carat

Divide by 3.0864198
Since the factor is small (0.324), it's easier to divide: ct value ÷ 3.0864198 = gr value.
Use scientific notation
1 gr = 3.24e-01 ct. Count decimal places carefully.
Think in larger units first
Convert to a more familiar unit first, then to ct.

When to Convert Grain to Carat

💎 Jewellery Design Jewellers specify gemstone weights in carats and metal weights in grams or tola. Converting gr to ct is a core skill in jewellery making.
🏆 Gemstone Grading The 4Cs of diamond grading include carat weight. Converting between gr and ct helps compare stones across different grading systems.
💰 Gold Trading Gold prices are quoted per gram, per tola, and per troy ounce depending on the market. Grain to Carat conversion is essential for traders and investors.
⚖️ Hallmarking Precious metal hallmarking authorities certify weights in specific units. Convert between gr and ct for compliance and documentation.
🎯 Archery & Ballistics Arrow and bullet weights are specified in grains. Converting to grams or vice versa is routine for archers and competitive shooters.
🏛️ Antique Appraisal Historical weights for silver and gold artefacts may be recorded in gr. Converting to modern ct helps calculate material value accurately.

Frequently Asked Questions — Grain to Carat

1 grain (gr) equals exactly 0.324 carats (ct). Use the formula: gr × 0.324 = ct.

To convert grains to carats, multiply your value in grains by 0.324. For example, 5 gr × 0.324 = 1.62 ct.

100 grains = 32.4 carats. Calculation: 100 × 0.324 = 32.4.

To convert carats back to grains, divide by 0.324 (or multiply by 3.0864198). Example: 10 ct ÷ 0.324 = 30.8641975 gr.

Yes. This converter uses the internationally recognised exact conversion factor: 1 gr = 0.324 ct. All calculations are performed in your browser with no rounding until display.

10 grains = 3.24 carats. Simply multiply by 0.324.

Converting grains to carats is commonly needed for jewellery valuation, gemstone trading, precious metal buying and selling, and hallmarking compliance where one system uses gr and another uses ct.

Understanding Grain and Carat

Grain (gr)

The grain (gr) is the smallest unit in the avoirdupois, troy, and apothecary weight systems, equal to exactly 64.79891 milligrams (0.06479891 g). All three systems share the same grain as base: one avoirdupois pound = 7,000 grains; one troy pound = 5,760 grains. The grain is still used in ballistics (bullet and powder weights) and some pharmaceutical contexts.

Carat (ct)

The metric carat (ct) is the unit of mass used worldwide for gemstones and pearls, equal to exactly 200 milligrams (0.2 g). It is distinct from "karat" (K), the measure of gold purity (24K = 100% gold). A 1-carat diamond weighs exactly 0.2 g; the famous 45.52-carat Hope Diamond weighs approximately 9.1 g.

History of the Grain

The grain is among the oldest measurement units in history, derived from the average weight of a grain of barleycorn (or wheat) — a practical standard used in ancient Egypt, Greece, and Rome. England formalised the barleycorn grain in the 15th century as the foundation of its weight system. The British Weights and Measures Act 1824 defined the grain, and the value remains unchanged today.

Interesting fact: The original grain was calibrated by laying dried barleycorns end-to-end — 32 grains equalled one inch in 13th-century England. Today, 9mm pistol bullets typically weigh 115–147 grains (7.5–9.5 g), and gunpowder charges are specified in grains for reloading.

History of the Carat

The word "carat" derives from Greek keration (κεράτιον), meaning carob pod. Carob seeds were believed to have remarkably uniform weight and were used as counterweights for balancing precious stones. The carat value varied across countries (0.187–0.216 g) until the Fourth General Conference on Weights and Measures standardised the metric carat at exactly 200 mg in 1907. Most countries adopted the metric carat between 1914 and 1930.

Interesting fact: The largest gem-quality diamond ever found, the Cullinan Diamond (1905), weighed 3,106.75 carats (621.35 g) before being cut into 9 major and 96 minor stones, two of which are in the British Crown Jewels.