Quick Answer
The GPA formula has not changed in fifty years. It is one of the simplest weighted averages in academic math, but the credit-hour weighting trips up most students the first time. This guide walks through every variation: unweighted, weighted, semester, cumulative, and the edge cases that come up with retakes and Pass/Fail courses.
Want to skip the manual calculation? Our free GPA Calculator handles all of it: weighted, unweighted, and a target GPA planner that tells you what you need next term.
The GPA Formula
The standard US GPA formula is:
Three steps:
- Convert each letter grade to its numeric value on the 4.0 scale.
- Multiply each grade value by the course's credit hours to get "quality points" for that course.
- Divide total quality points by total credit hours.
Letter Grade to GPA Conversion Table
| Letter Grade | Percentage | Grade Points (4.0 scale) |
|---|---|---|
| A+ / A | 93-100 | 4.0 |
| A- | 90-92 | 3.7 |
| B+ | 87-89 | 3.3 |
| B | 83-86 | 3.0 |
| B- | 80-82 | 2.7 |
| C+ | 77-79 | 2.3 |
| C | 73-76 | 2.0 |
| C- | 70-72 | 1.7 |
| D+ | 67-69 | 1.3 |
| D | 63-66 | 1.0 |
| D- | 60-62 | 0.7 |
| F | Below 60 | 0.0 |
Note: some schools count A+ as 4.3 instead of 4.0, allowing GPAs above 4.0 even unweighted. Most US universities and high schools cap at 4.0 to keep the unweighted scale stable. Check your transcript for your school's convention.
Worked Example: Unweighted GPA for One Semester
Imagine a typical college student taking 5 courses in a semester:
| Course | Grade | Credits | Grade Points | Quality Points |
|---|---|---|---|---|
| Calculus II | A- | 4 | 3.7 | 14.8 |
| English Comp | B+ | 3 | 3.3 | 9.9 |
| Intro Psychology | A | 3 | 4.0 | 12.0 |
| Biology Lab | B | 1 | 3.0 | 3.0 |
| History 101 | B- | 3 | 2.7 | 8.1 |
| TOTAL | 14 | 47.8 |
GPA = 47.8 / 14 = 3.41. That puts this student in good academic standing, with room to push for Dean's List next term.
Notice how Calculus II contributed the most (14.8 quality points) because it had the most credits, even though the grade was not the highest. The 1-credit Biology Lab contributed only 3.0 quality points despite a solid B grade. Credit hours drive everything.
Worked Example: Weighted GPA
Now imagine a high school junior with a mix of regular, Honors, and AP courses:
| Course | Type | Grade | Credits | Weighted Points | Quality Points |
|---|---|---|---|---|---|
| AP Calc AB | AP | B+ | 1 | 4.3 (3.3 + 1.0) | 4.3 |
| AP US History | AP | A | 1 | 5.0 (4.0 + 1.0) | 5.0 |
| Honors Chemistry | Honors | A- | 1 | 4.2 (3.7 + 0.5) | 4.2 |
| English 11 | Regular | B | 1 | 3.0 | 3.0 |
| Spanish III | Regular | A | 1 | 4.0 | 4.0 |
| Gym | Regular | A | 1 | 4.0 | 4.0 |
| TOTAL | 6 | 24.5 |
Weighted GPA = 24.5 / 6 = 4.08. The same grades unweighted would be (3.3 + 4.0 + 3.7 + 3.0 + 4.0 + 4.0) / 6 = 22.0 / 6 = 3.67 unweighted. The weighting added 0.41 to the GPA by rewarding the AP and Honors load.
This is why most high schools report both numbers. Colleges typically recalculate using their own formula (some strip out gym and electives, some use only 4.0 max, some use +0.33 instead of +0.5). Read more about why in our What Is a Good GPA guide.
Cumulative GPA: Combining Multiple Semesters
Do NOT average your per-semester GPAs to get cumulative GPA. That only works if every semester has the exact same credit load. The correct method: sum all quality points and all credits across every semester, then divide.
Example with two semesters:
- Fall: 47.8 quality points across 14 credits (GPA = 3.41)
- Spring: 64.0 quality points across 16 credits (GPA = 4.00)
- Cumulative: (47.8 + 64.0) / (14 + 16) = 111.8 / 30 = 3.73
A wrong-but-common method: averaging the two semester GPAs gives (3.41 + 4.00) / 2 = 3.705. Close in this case, but the error grows as credit loads diverge. A 5-credit summer term with a 4.0 averaged with a 15-credit fall term with a 3.0 should yield 3.25 (correctly weighted), not 3.50 (the naive average).
Major GPA: A Different Calculation
Graduate schools often ask for "major GPA" - the GPA computed only from courses in your major (and sometimes adjacent fields). The formula is the same, but the input is filtered.
To compute your major GPA: list only the courses your major requires (or that count toward your major), apply the standard formula. Your major GPA can be significantly higher or lower than your overall GPA. A common pattern is a junior with a 3.4 overall and a 3.8 major GPA - admissions officers will weight the 3.8 much more heavily for graduate programs in that field.
What About Failed Courses and Retakes?
An F counts as 0.0 grade points but still uses the credit hours in the denominator. A 3-credit F lowers your GPA significantly. Most schools allow grade replacement: retake the course, and the higher grade replaces the F in GPA calculation (though the original F often stays on the transcript). Policies vary by school.
Pass / No-Pass courses typically do not count in GPA calculation at all - they show as P on the transcript but are excluded from the formula. If you Pass-Fail a course you would have gotten an A in, you lose those quality points. Use Pass-Fail strategically for difficult electives you only need to survive.
The Easiest Way: Use the Calculator
The math is simple but tedious. Our GPA Calculator handles all of this: unweighted, weighted, semester, cumulative. It also includes a Target GPA Planner that tells you what semester GPA you need to reach a specific cumulative goal - useful when planning for graduation honors or grad school applications.
If your current cumulative GPA needs to rise, our guide to raising your GPA walks through the math of why it gets harder later in your degree, plus the strategies that actually work.
Sources
- American Council on Education (ACE). Standard 4.0 GPA scale conversion. A = 4.0, B = 3.0, C = 2.0, D = 1.0, F = 0. Plus/minus modifiers add or subtract 0.3-0.4.
- College Board AP Program. AP Course Policies. AP courses are weighted +1.0 at most participating high schools when reporting weighted GPA.
- National Association for College Admission Counseling (NACAC). State of College Admission Report. Weighted GPA conventions (+0.5 Honors, +1.0 AP/IB) reflect majority US high school grading practices.
- US Department of Education, National Center for Education Statistics. High school course-taking data, including credit hour conventions for full-year (1 credit) vs lab (additional credit) courses.
- Common Data Set (CDS) Initiative. Standard reporting framework used by US universities for admissions and academic standing data, including GPA distribution reporting.
- International Baccalaureate Organization (IBO). IB Diploma Programme assessment policies, basis for the +1.0 weighting at participating US high schools.