Convert from gallon [US, dry] to peck [UK]

Unit Definition (gallon [US, dry])
The gallon [US, dry] is a historic British unit of dry volume still used implicitly in the U.S. In the U.S., the term "gallon" is not used in dry measure, but if it were it would be equal to 1/2 peck, or 4 dry quarts, or 268.8025 cubic inches, or approximately 4.404 884 liters. This unit is the English corn or grain gallon, standardized during the reign of Elizabeth I in the sixteenth century. The earliest official definition of a dry gallon in Britain is a 1303 proclamation of Edward I, where the gallon is defined as the volume of 8 pounds of wheat; the current U.S. "gallon" contains about 7.5 pounds of wheat. Grain gallons have tended to be larger than liquid gallons throughout the history of British units, apparently because they were based on heaped rather than "struck" (leveled) containers. A container in which grain has been heaped above the top will hold as much as 25% more grain, and the traditional corn gallon is in fact 16.4% larger than the wine gallon.

Unit Definition (peck [UK])
The peck [UK] is a traditional unit of volume, formerly used for both liquids and solids but now used mostly for dry commodities such as grains, berries, and fruits. A peck is 2 gallons, 8 quarts, or 1/4 bushel. In the British imperial system, a peck is a little larger, holding 554.84 cubic inches or approximately 9.0923 liters. In Scotland, the traditional peck held about 9.1 liters for wheat, peas, or beans and about 12.1 liters for barley or oats. The word "peck", originally spelled "pek", comes from the name of a similar old French unit; the origin of the French unit is not known.