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SGPA to CGPA Calculator

The SGPA to CGPA Calculator averages your semester GPAs across every term of your degree, weighted by credit hours. Used by engineering and university students across India at VTU, Anna University, JNTU, and most autonomous institutions, as well as Pakistani universities that follow a semester system. Enter the SGPA and credit hours for each completed semester and the cumulative CGPA appears instantly. Results are educational estimates based on the standard credit-weighted formula; confirm with your institution if your university uses a different method.

SemesterSGPACredits
Semester 1
Semester 2
Semester 3
Cumulative CGPA
8.00
Weighted by credits across 3 semesters.
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Written by Zufishan · MS Environmental Science · Updated June 2026

SGPA, CGPA, and the credit-weighted average

SGPA is your Semester Grade Point Average, covering one term. CGPA is your Cumulative Grade Point Average, covering all terms. Because semesters at most Indian universities carry different credit loads, the CGPA is not a simple average of all SGPAs. It is a credit-weighted average where heavier semesters count more.

The formula

CGPA = Σ(SGPA × Credits) ÷ Σ(Credits)

Multiply each semester's SGPA by its credit hours, add the products, then divide by the total credits across all semesters. A 25-credit semester with an SGPA of 9.0 contributes 225 quality points. An 18-credit semester with the same SGPA contributes only 162 quality points.

Worked example

Four semesters of an engineering degree:

SemesterSGPACreditsQuality points
Semester 18.424201.6
Semester 28.722191.4
Semester 39.126236.6
Semester 48.924213.6
Total96843.2

CGPA = 843.2 ÷ 96 = 8.78. A simple average of the four SGPAs would give 8.775, nearly the same here because the credit loads are similar. When semesters differ more in credits, the gap between the two methods grows.

How to use this calculator

  1. Add a row for every completed semester.
  2. Enter the SGPA from your marks sheet for that semester.
  3. Enter the total credit hours for that semester.
  4. Click + Add semester for each additional term.
  5. Read the cumulative CGPA at the bottom of the calculator.

University-specific notes

UniversityMethodScale
VTUCredit-weighted CGPA10.0
Anna UniversityCredit-weighted CGPA10.0
JNTU HyderabadCredit-weighted CGPA10.0
Mumbai UniversityCredit-weighted CGPI10.0
Some autonomous collegesSimple average of SGPAs10.0

If your college uses a simple average rather than credit-weighting, enter the same credit value for every semester. The result is then equivalent to a simple average.

Converting your CGPA to percentage or US GPA

Once you have the CGPA from this calculator, use the CGPA to Percentage India tool to get the equivalent percentage for job applications and admission forms. To convert to a US 4.0 GPA for graduate school applications abroad, use the CGPA to GPA converter.

When to use this calculator

Use it at the end of each semester to update your running CGPA as results are published. Use it before your final semester to find the minimum SGPA needed to reach a target CGPA, by adding a hypothetical row for the upcoming term. Use it when preparing graduate school or job applications that ask for your cumulative CGPA and your transcript only shows per-semester SGPAs.

Common mistakes

Averaging SGPAs without credit weighting. If your semesters carry different credit loads, a simple average of SGPAs gives the wrong CGPA. Always use credit hours as weights.

Entering SGPA from the wrong scale. Most Indian universities use a 10-point scale. Some older or foreign institutions use a 4.0 or 5.0 scale. Mixing scales in the same session produces a meaningless CGPA.

Including backlogs or supplementary SGPAs. A backlog result is typically a repeat of a semester exam, not a new semester. Enter only full-semester SGPAs, one row per academic term.

Related calculators

Disclaimer: Results use the standard credit-weighted CGPA formula. Some institutions use a simple average or a custom formula. Confirm the method in your academic regulations before using the result on a formal application.

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Frequently asked questions

What is the formula to calculate CGPA from SGPA?

CGPA = sum of (SGPA times credits for each semester) divided by the total credits across all semesters. Each semester contributes to the CGPA in proportion to its credit hours, not equally. A semester with 26 credits moves the CGPA more than a semester with 18 credits at the same SGPA.

Is CGPA just the average of all SGPAs?

Only if every semester has the same number of credit hours. When semesters carry different credit loads, a simple average gives the wrong CGPA. The correct method is the credit-weighted average, which is what this calculator uses.

Which universities use the SGPA to CGPA formula?

VTU, Anna University, JNTU Hyderabad, and most autonomous engineering colleges in India use credit-weighted CGPA. Mumbai University uses the same logic but calls it SGPI and CGPI. Some colleges use a simple average of all SGPAs instead; check your academic regulations to confirm which method applies.

How do I convert my CGPA to a percentage after using this calculator?

Take the CGPA result and enter it into the CGPA to Percentage calculator. Select the formula for your university. For most Indian universities the general formula is (CGPA minus 0.75) times 10. For VTU the formula is CGPA times 10. Anna University uses (CGPA minus 0.5) times 10.

Can I include a semester I have not completed yet?

Yes. Add a row with a hypothetical SGPA to see how a strong or weak upcoming semester would affect your overall CGPA. This is useful for planning before the final semester to know the minimum SGPA needed to reach a target CGPA.