⚖️ ct to gr — Carat to Grain Converter

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

1 unit =
From
To
Formula 1 ct = 3.08642 gr
Quick Answer — Formula1 ct = 3.08642 grMultiply carats by 3.08642 to get grains.Reverse: 1 gr = 0.324 ct
UnitNameValue
0.001 ct0.00308642 gr
0.01 ct0.0308642 gr
0.1 ct0.308642 gr
1 ct3.08642 gr
5 ct15.4321 gr
10 ct30.8642 gr
50 ct154.321 gr
100 ct308.642 gr
1000 ct3086.42 gr

About Carat to Grain 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 ct = 3.08642 gr

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: Carat to Grain

A 1-carat diamond solitaire
1 ct = 3.0864198 gr
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 ct = 15.4320988 gr
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 ct = 3.0864198 gr
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 ct = 9.2592593 gr
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.

Carat to Grain Reference Table

Carat (ct)Grain (gr)Real-world context
1 ct3.0864198 grsolitaire diamond
5 ct15.4320988 gr
10 ct30.8641975 grcollector gem
50 ct154.321 gr
100 ct308.642 gr

Mental Math Tricks: Carat to Grain

Multiply by 3.0864198
Direct formula: value in ct × 3.0864198 = value in gr.
Inverse check
To reverse, multiply gr value by 0.324.
Benchmark anchors
1 ct = 3.0864198 gr; 10 ct = 30.8641975 gr; 100 ct = 308.642 gr.

When to Convert Carat to Grain

💎 Jewellery Design Jewellers specify gemstone weights in carats and metal weights in grams or tola. Converting ct to gr is a core skill in jewellery making.
🏆 Gemstone Grading The 4Cs of diamond grading include carat weight. Converting between ct and gr 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. Carat to Grain conversion is essential for traders and investors.
⚖️ Hallmarking Precious metal hallmarking authorities certify weights in specific units. Convert between ct and gr 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 ct. Converting to modern gr helps calculate material value accurately.

Frequently Asked Questions — Carat to Grain

1 carat (ct) equals exactly 3.0864198 grains (gr). Use the formula: ct × 3.0864198 = gr.

To convert carats to grains, multiply your value in carats by 3.0864198. For example, 5 ct × 3.0864198 = 15.4320988 gr.

100 carats = 308.642 grains. Calculation: 100 × 3.0864198 = 308.642.

To convert grains back to carats, divide by 3.0864198 (or multiply by 0.324). Example: 10 gr ÷ 3.0864198 = 3.24 ct.

Yes. This converter uses the internationally recognised exact conversion factor: 1 ct = 3.0864198 gr. All calculations are performed in your browser with no rounding until display.

10 carats = 30.8641975 grains. Simply multiply by 3.0864198.

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

Understanding Carat and Grain

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.

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.

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.

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.