Math

Free CGPA Calculator

Cumulative GPA across multiple semesters, weighted by credits.

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Inputs

Result

CGPA

3.60

Weighted by credit hours

Total credit hours46.0
Total grade points165.40

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Short answer

CGPA = Σ(semester GPA × semester credits) ÷ Σ semester credits. It weights each semester by the hours you took.

What is the CGPA Calculator?

Cumulative Grade Point Average is a single number summarizing performance across all semesters attempted so far, weighted by the credit hours of each semester.

How does the CGPA Calculator work?

Multiply each semester's GPA by the credit hours attempted that semester to get grade points. Sum grade points across all semesters and divide by total credit hours.

Formula

CGPA = Σ(GPA_i × credits_i) / Σ credits_i

Variables

  • GPA_iGrade point average of semester i
  • credits_iCredit hours attempted in semester i

Explanation

Weighting by credits keeps a heavy 18-credit semester from being averaged as equal to a light 9-credit one.

Examples

Example 1: Three semesters: 3.6 (15 cr), 3.4 (16 cr), 3.8 (15 cr)

Points 168.4 ÷ 46 credits ≈ 3.60 CGPA.

Applications

  • Degree audits
  • Scholarship & honors thresholds
  • Grad school applications

Advantages

  • Correctly weights heavier semesters
  • Comparable across programs on the same scale

Limitations

  • Assumes all semesters use the same grading scale (usually 4.0)

Common mistakes

  • Averaging semester GPAs directly instead of weighting by credit hours

Tips

  • To include a new semester, add it as another row — don't average the new GPA into your old CGPA

Related concepts

The CGPA Calculator sits inside the Math Calculators hub, in the academic & grades cluster. Weighted averages applied to education. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.

credit hourweighted meangrading scalepercentile rank

Practical use cases and industry applications

Understanding CGPA

Cumulative Grade Point Average is a single number summarizing performance across all semesters attempted so far, weighted by the credit hours of each semester. Within math calculators, cgpa belongs to the academic & grades cluster, where it shares terminology and assumptions with closely related tools.

Learning how cgpa is calculated

Weighting by credits keeps a heavy 18-credit semester from being averaged as equal to a light 9-credit one. Working through the variables one at a time — GPA_i, credits_i — makes the result reproducible by hand and easier to sanity-check.

Using cgpa to make a decision

Degree audits Scholarship & honors thresholds Grad school applications Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.

How cgpa compares with related measures

credit hour, weighted mean, grading scale, percentile rank all describe adjacent aspects of academic & grades. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.

Frequently asked questions

Is CGPA the same as GPA?

GPA usually refers to one semester or term; CGPA is the cumulative average across all completed semesters.

How do I convert CGPA to percentage?

There is no universal formula — many Indian universities use percentage = CGPA × 9.5, but confirm with your institution.

Related calculators

More academic & grades tools

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