How to Calculate CGPA: A Simple Step-by-Step Guide
Learn exactly how to calculate your CGPA from semester GPAs and credit hours, with a worked example, the formula, and a free calculator to do it instantly.
CGPA — your cumulative grade point average — is the single number that sums up your entire academic record. It rolls every semester you have studied into one average, and it is what most scholarships, honor rolls, and graduate programs look at first. The good news: once you understand the formula, calculating it takes about two minutes.
CGPA vs GPA: what's the difference?
GPA (grade point average) usually refers to a single term — one semester's worth of grades. CGPA is the cumulative figure across all of your terms so far. If you have only completed one semester, your GPA and CGPA are identical. After that, your CGPA becomes a credit-weighted average of every semester GPA you have earned.
The CGPA formula
CGPA is not a simple average of your semester GPAs. Each semester is weighted by the number of credit hours you took that term, because a 18-credit semester should count for more than a light 9-credit one. The formula is:
CGPA = Σ (semester GPA × semester credits) ÷ Σ (total credits)
In plain English: multiply each semester's GPA by the credits you took that semester, add all those products together, then divide by the total credits across every semester.
A worked example
Say you have finished three semesters:
- Semester 1 — GPA 3.6 over 15 credits
- Semester 2 — GPA 3.8 over 16 credits
- Semester 3 — GPA 3.5 over 14 credits
Step 1, multiply each GPA by its credits: (3.6 × 15) = 54.0, (3.8 × 16) = 60.8, (3.5 × 14) = 49.0.
Step 2, add the products: 54.0 + 60.8 + 49.0 = 163.8.
Step 3, add the credits: 15 + 16 + 14 = 45.
Step 4, divide: 163.8 ÷ 45 = 3.64 CGPA.
Notice it is not just (3.6 + 3.8 + 3.5) ÷ 3 = 3.63 — the credit weighting nudges the result because the semesters had different loads. With similar credit loads the difference is small, but it grows when one term is much heavier than another.
Do it instantly
Rather than reaching for a calculator app, use our CGPA calculator: enter each semester's GPA and credits and it applies the weighting for you. If you still need to work out an individual semester first, the GPA calculator turns your letter grades into that term's GPA, which you can then feed in.
Tips for keeping your CGPA healthy
- Front-load effort in high-credit courses. Because of the weighting, your heaviest courses move your CGPA the most.
- Know your target early. If you are aiming for a 3.5 to stay eligible for a scholarship, calculate what each upcoming semester needs to be before the term starts, not after.
- Recovery gets harder over time. As your total credits grow, each new semester has less power to move the cumulative number — so an early dip takes more terms to pull back up.
Frequently asked
Is CGPA out of 4 or 10? It depends on your institution's scale. Many universities use a 4.0 scale; others (especially in South Asia) use a 10-point scale. The formula is identical — only the grade points per letter change.
Does CGPA include failed courses? Usually yes — an F counts as 0 grade points but still consumes credits, which is why a failed class drags the average down twice as hard. Some schools allow grade replacement on a retake; check your registrar's policy.