CGPA Calculator

How CGPA is calculated

CGPA is the cumulative grade point average over all the semesters you enter. It is your total quality points divided by the total credits that count, so a semester with more credits changes it more than one with fewer. It is not the plain average of the semester GPAs.

CGPA = Σ (semester GPA × semester credits) ÷ Σ (semester credits)

In words: multiply each semester's GPA by its credits, add those results together, then divide by the sum of the credits. A semester entered as courses contributes the sum of each course's credits × grade points, which is the same thing worked out from the courses.

This is the same credit-weighted definition the University Grants Commission uses in its Choice Based Credit System guidelines: CGPA is the total credit points secured in all semesters divided by the total credits of all those courses, reported to two decimal places (UGC guidelines, sections 3 and 7).

Grade points

The number your grading scale gives each grade, such as 4.0 for an A on the default scale. They are the starting point for every other figure.

Semester GPA

The credit-weighted average of grade points over one semester. In the CGPA, each semester GPA is weighted again by that semester's credits.

Grading scale

The table of grades and points in use. It sets the highest and lowest GPA a semester can have, and it is the scale every figure on the page is read against.

Quality points

Credits × grade points. A semester with a 3.50 GPA over 12 credits has 42 quality points.

Credits that count

The credits counted toward GPA. Courses graded P, NP, W or I are left out of both the quality points and the credits.

Earlier record

An earlier CGPA and the credits it covers are weighted the same way, as one more block of credits.

CGPA worked example

Three semesters on the default 4.0 scale, each entered as a GPA with its credits:

The total is 116.4 quality points over 33 credits, so the CGPA is 116.4 ÷ 33 = 3.53. The plain average of the three semester GPAs would be 3.40: the result is different because Semester 1 has the most credits and counts the most. The CGPA so far column is the running CGPA: after each semester it is the credit-weighted average of every semester up to that point, so the last row is your result.

The same formula works on any scale. The University Grants Commission's guidelines include an illustration on a 10-point scale (section 8). Entering its figures here, on a 10-point custom scale, six semesters with credits 20, 22, 25, 26, 26, 25 and GPAs 6.9, 7.8, 5.6, 6.0, 6.3, 8.0 give 969.4 quality points over 144 credits, a CGPA of 6.73, the figure the guideline reports. It shows the method; the guidelines apply to credit-system programmes at universities in India, and universities set their own pass marks and the CGPA needed for a degree.

CGPA and GPA

A semester GPA is the average of one term's course grades, weighted by credits. CGPA combines the terms: it is that same credit-weighted average taken across every semester you enter. This page starts from semester results and builds the cumulative figure and a target plan. To work out one term's GPA from its individual course grades, use the GPA calculator for a single term, then enter that GPA and its credits here as a semester.

Grade scales for CGPA

The calculator has two ready-made 4.0 tables and a custom table. They are general-purpose conventions, not any one institution's official scale.

If your school uses different values, or a scale with a different top value such as 10, choose Custom and enter each grade with the points it is worth. When you only know each semester's GPA, the highest grade on your custom scale sets the highest GPA you can enter.

This calculator does not convert a CGPA to a percentage or to another country's scale. Those rules are set by each institution or authority, so use their published method.

Which grades are excluded

This calculator treats P (pass), NP (no pass), W (withdrawn) and I (incomplete) as excluded: they add no credits and no quality points, so they do not change your CGPA. An F is counted at the points your scale gives it, which is 0 on the built-in scales. Because P is reserved as an excluded grade, a custom scale cannot use P as a graded label: rename it, for example PS. Institutions can handle these grades differently, so check your own policy.

Reaching a target CGPA

Below your result, the planner starts from your CGPA and the credits it covers and answers one question: what GPA do I need on my upcoming credits to reach a target CGPA? Enter a target and your upcoming credits, and optionally the GPA you expect to earn.

Required GPA = (target × (completed credits + upcoming credits) − current CGPA × completed credits) ÷ upcoming credits

Required future GPA

The GPA you need to average over the upcoming credits so that your overall CGPA reaches the target. The target is a cumulative figure and the required GPA is not: it applies only to the upcoming credits, so the two numbers are different and are not meant to be compared directly. It is rounded up to two decimals so it never understates what you need.

Best and lowest possible CGPA

Your CGPA if every upcoming credit earns the highest, or the lowest, grade on your scale.

Projected CGPA

Your overall CGPA if you earn your expected GPA on the upcoming credits. It is an estimate from the numbers you entered, not a prediction.

Plan B

Shown when the target cannot be reached with the credits you entered. It is a separate what-if, not part of your entered plan: it gives the total upcoming credits at the highest grade that would be needed and how many more than you entered. A target equal to the scale maximum can only be approached, and one above it cannot be reached.

Using the example above (3.53 over 33 credits), a 3.60 target with 15 upcoming credits needs an average of at least 3.76: (3.60 × 48 − 116.4) ÷ 15 = 3.760…, rounded up. If you expect 3.70 on those 15 credits, your projected CGPA is (116.4 + 3.70 × 15) ÷ 48 = 3.58. The projection covers only the credits you entered, not any later courses.

Rounding and limits

• Everything is calculated in your browser from the semesters, credits and scale you enter. Nothing is uploaded or saved.
• Results show two decimal places, rounded half away from zero. The calculation itself is not rounded; the planner's required GPA is the one figure rounded up. A semester GPA you type is already rounded, so it can differ slightly in the last digit from one worked out from courses.
• Repeated courses, grade replacement and transfer credits are not handled automatically: edit or leave out those records to match your institution's policy.
• This is a general calculation, not an official figure. It does not determine academic standing, honours, scholarships or eligibility.