Conversion formula

The conversion factor from cups to gallons is 0.0625, which means that 1 cup is equal to 0.0625 gallons:

1 cup = 0.0625 gal

To convert 1664 cups into gallons we have to multiply 1664 by the conversion factor in order to get the volume amount from cups to gallons. We can also form a simple proportion to calculate the result:

1 cup → 0.0625 gal

1664 cup → V_(gal)

Solve the above proportion to obtain the volume V in gallons:

V_(gal) = 1664 cup × 0.0625 gal

V_(gal) = 104 gal

The final result is:

1664 cup → 104 gal

We conclude that 1664 cups is equivalent to 104 gallons:

1664 cups = 104 gallons

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 gallon is equal to 0.0096153846153846 × 1664 cups.

Another way is saying that 1664 cups is equal to 1 ÷ 0.0096153846153846 gallons.

Approximate result

For practical purposes we can round our final result to an approximate numerical value. We can say that one thousand six hundred sixty-four cups is approximately one hundred four gallons:

1664 cup ≅ 104 gal

An alternative is also that one gallon is approximately zero point zero one times one thousand six hundred sixty-four cups.

Conversion table

cups to gallons chart

For quick reference purposes, below is the conversion table you can use to convert from cups to gallons