Key takeaway
Your cumulative GPA (CGPA) is the credit-weighted average of every semester's SGPA: CGPA = Σ (SGPA × semester credits) ÷ Σ semester credits. It is not a simple average of semester percentages. Use it for graduation, placement, and admission numbers.
Scope and assumptions
CGPA computation follows your institution's credit and grading policy. Confirm the exact rule on the official notification. This site is informational and not official.
Short answer: Your cumulative GPA (CGPA) is the credit-weighted average of every semester's SGPA: CGPA = Σ (SGPA × semester credits) ÷ Σ semester credits. It is not a simple average of semester percentages. Use it for graduation, placement, and admission numbers.
Quick navigation
- Semester GPA → how-to-calculate-sgpa
- How GPA is built → how-to-calculate-gpa
- GPA to percentage → gpa-to-percentage
- Hub → gpa-sgpa-hub
1. The formula
CGPA = (s₁×c₁ + s₂×c₂ + … + sₙ×cₙ) ÷ (c₁ + c₂ + … + cₙ)
where s = semester SGPA, c = that semester's total credits.
2. Worked example (four semesters, 10-point)
| Sem | SGPA | Credits | SGPA × Credits |
|---|---|---|---|
| 1 | 8.0 | 24 | 192.0 |
| 2 | 9.0 | 26 | 234.0 |
| 3 | 8.5 | 25 | 212.5 |
| 4 | 9.2 | 25 | 230.0 |
Total credits = 100. Total = 868.5. CGPA = 868.5 ÷ 100 = 8.69
3. Why not average the percentages?
If you converted each SGPA to a % and averaged (80, 90, 85, 92 → 86.75%), you'd ignore credit weights and the non-linear scale. Credit-weighting the points (→ 8.69, then ×9.5 ≈ 82.6%) is the registrar's method. Always weight the points, not the percentages.
4. Projecting an improvement
Want to know the GPA needed next term to lift your CGPA?
- Current CGPA 8.0 over 100 cr; next term 25 cr.
- Target CGPA 8.5: needed points = 8.5×125 − 8.0×100 = 1062.5 − 800 = 262.5 → next SGPA = 262.5 ÷ 25 = 10.5 (impossible on a 10-point scale — so 8.5 is unreachable in one term; plan across terms).
This shows how early terms lock in your cumulative average.
5. Common mistakes
- Averaging semester percentages instead of credit-weighting SGPAs.
- Counting a semester twice or dropping a term.
- Mixing scales across semesters.
- Rounding before the final divide.
6. Six-semester full table
| Sem | SGPA | Credits | SGPA×Cr |
|---|---|---|---|
| 1 | 8.0 | 24 | 192.0 |
| 2 | 9.0 | 26 | 234.0 |
| 3 | 8.5 | 25 | 212.5 |
| 4 | 9.2 | 25 | 230.0 |
| 5 | 8.8 | 24 | 211.2 |
| 6 | 9.4 | 26 | 244.4 |
CGPA = (192+234+212.5+230+211.2+244.4) ÷ 150 = 8.83.
7. Recovery scenario — raising a low CGPA
Current CGPA 7.0 over 90 cr; you have 30 cr left. Target 7.5: needed points = 7.5×120 − 7.0×90 = 900 − 630 = 270 → next SGPA = 270 ÷ 30 = 9.0. Achievable in one term if you score ~9.0. Target 8.0: needed = 8.0×120 − 630 = 960−630 = 330 → 11.0 (impossible) — so 8.0 needs more terms. Plan realistically.
8. Credit hours vs contact hours
Cumulative GPA is weighted by credit hours, not by how many hours you sat in class. A three-credit lab and a four-credit lecture contribute differently even if both meet for the same weekly time, because credits reflect the academic weight the institution assigns. That is why the formula multiplies each semester's SGPA by its credit total before dividing — a 9.0 in a heavy four-credit semester pulls your CGPA more than a 9.0 in a light two-credit one. When you add transfer, summer, or study-abroad terms, include them only if they were taken for credit at your institution and converted to your scale; some transfer credits count toward the credit total but not toward the points, which changes the denominator. Always read the registrar's CGPA policy for how each term is treated before you roll the numbers, because the credit base — not the semester count — is what makes the average sticky.
FAQ
Q: Is CGPA the same as cumulative GPA? Yes — CGPA = cumulative GPA across all semesters.
Q: My CGPA is 8.69 — what %? Under ×9.5 → 82.6%; under ×10 → 86.9%; under VTU → (8.69−0.75)×10 = 79.4%. Body matters.
Q: Can one great term fix a low CGPA? Only partially — cumulative averages are sticky; see the projection method above.
Q: Do transfer credits count? Often counted in credits but not always in points; check the policy.
Q: Where do I get official CGPA? Your transcript from the registrar.
Q: SGPA vs CGPA on a job form? Usually CGPA (cumulative) for graduation percentage.
Q: How many decimals? Report two decimals as printed; round only at the end.
Q: Do summer courses count toward CGPA? If taken for credit at your institution, yes — include their credits and SGPA.
Q: What if a semester was study-abroad? Usually converted to your scale; confirm the transfer policy.
Q: Is CGPA ever reset? No — it's cumulative for the whole program; a fresh start needs a new program.
Q: Can I exclude a failed semester? Almost never; it stays on the transcript and drags CGPA.
Sources: University registrar CGPA rules; UGC 10-point scale; credit-weighting conventions.
Disclaimer: CGPA computation follows your institution's credit and grading policy. Confirm the exact rule on the official notification. This site is informational and not official.
Sources and references
- University registrar CGPA ruleshttps://nces.ed.gov/
- UGC 10-point scalehttps://www.ugc.gov.in/
- credit-weighting conventionshttps://en.wikipedia.org/wiki/Credit_hours