Fabric formula

GSM and oz/yd² conversion formula

Converts fabric area weight between grams per square meter and ounces per square yard using the exact factor 33.906.

Formula
oz/yd2=GSM33.906GSM=oz/yd2×33.906\text{oz/yd}^2 = \dfrac{\text{GSM}}{33.906} \qquad \text{GSM} = \text{oz/yd}^2 \times 33.906

oz/yd² = GSM / 33.906 and GSM = oz/yd² × 33.906

SymbolMeaningUnit
GSMArea weightg/m²
oz/yd²Area weightounces per square yard
33.906Conversion factor (28.3495 g per oz divided by 0.836127 m² per yd²)-

When to use it

Use it when a specification, mill offer or buyer tech pack states weight in ounces, which is common for denim, canvas and fabrics sold in North America.

Worked example#

A denim is offered at 12.5 oz/yd².

GSM = 12.5 × 33.906 = 423.8 g/m²

A 200 GSM jersey in ounces: 200 / 33.906 = 5.90 oz/yd²

Where the factor comes from#

One ounce is 28.3495 g and one square yard is 0.9144 m × 0.9144 m = 0.836127 m². Dividing gives 28.3495 / 0.836127 = 33.906 g/m² per oz/yd².

Where this formula is explained

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