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How to Calculate GPA by Hand (Formula and Example)

Written by Muhammad Ajmal · Last reviewed 2026-08-30

Your GPA is a weighted average of the grade points you earn in every class, weighted by how many credit hours each class is worth. Run your own transcript through our GPA calculator to get the number instantly, or work through the formula by hand using the steps below.

The standard grade point scale

Most US schools translate letter grades into points on a 4.0 scale: an A is worth 4.0, a B is worth 3.0, a C is worth 2.0, a D is worth 1.0, and an F is worth 0.0. Some schools use a plus/minus scale instead, where an A- might be worth 3.7 and a B+ worth 3.3. Check your own school's official scale before running the numbers, since small differences per class add up over a full transcript.

The GPA formula

GPA is calculated by multiplying each course's grade points by its credit hours, adding those totals together, then dividing by the total number of credit hours attempted. A 3-credit class counts three times as much toward the result as a 1-credit class, which is why two students with identical letter grades can still end up with different GPAs if their course loads carry different credit weights.

A worked example

Take a semester with four classes on a standard 4.0 scale.

• English, 3 credits, grade A: 3 x 4.0 = 12.0 grade points
• Chemistry, 4 credits, grade B: 4 x 3.0 = 12.0 grade points
• History, 3 credits, grade A: 3 x 4.0 = 12.0 grade points
• Physical education, 1 credit, grade B: 1 x 3.0 = 3.0 grade points

Total credit hours attempted: 11. Total grade points: 39.0. Divide 39.0 by 11 and the semester GPA comes out to 3.55.

Calculating a cumulative GPA across semesters

A cumulative GPA is not a simple average of each semester's GPA. It is weighted by how many credit hours each semester carried, the same way individual grades are weighted within one semester. Say a student earned a 3.2 GPA over 15 credit hours in one semester and a 3.8 GPA over 12 credit hours the next. Multiply each GPA by its credit hours: 3.2 x 15 = 48.0, and 3.8 x 12 = 45.6. Add those together for 93.6, then divide by the combined 27 credit hours to get a cumulative GPA of 3.47, not the 3.5 a plain average of 3.2 and 3.8 would suggest.

What doesn't count toward GPA

Pass/fail courses, credits transferred from another school without a letter grade, and audited classes typically do not factor into GPA at all, even though they still count toward your total credits for graduation. A withdrawal recorded as a W generally does not affect GPA either, though a late withdrawal recorded as a WF sometimes does, depending on the school's specific policy. Repeated courses can also be handled differently from one school to the next: some replace the old grade in the GPA calculation entirely, while others average the two attempts together.

Where hand calculations go wrong

The most common mistake is treating every class as equal weight and averaging the letter grades directly instead of the credit-weighted grade points. A student who passes a 1-credit seminar with a C alongside a 4-credit course with an A should end up much closer to a 4.0 than to a 3.5, but a straight average of the two letter grades misses that entirely. The second common mistake is forgetting to exclude pass/fail or non-credit courses from the calculation, which quietly drags down a GPA that a registrar's office would calculate differently.

Once the formula is clear, entering your own grades and credit hours into the GPA calculator is mostly a way to skip the repetitive arithmetic across a full transcript, not a black box you have to trust blindly.

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