SmartCGPA

German Grade Calculator

Calculate your Notendurchschnitt (weighted average) using Germany's 1.0–5.0 grading system. Lower is better—1.0 is excellent, 4.0 is the minimum pass. ECTS credit-weighted as used by LMU, TUM, Heidelberg and other German universities.

Grading System Overview (Germany)
1.0–5.0 scale (lower is better) — not US-style GPA

German universities use a numeric grading scale from 1.0 to 5.0, where lower numbers are better. Degrees are based on a credit-weighted average. GPA/CGPA is not standard domestically; conversion is used for international applications.

  • Fixed increments: 1.0, 1.3, 1.7, 2.0, 2.3, 2.7, 3.0, 3.3, 3.7, 4.0. Grades like 1.1 or 1.2 are rarely used.
  • Pass mark: 4.0. A 4.1 is a fail.
  • Credits: ECTS (1 ECTS ≈ 30 hours). Bachelor: 180–240 ECTS; Master: 60–120 ECTS.
  • Law & Medicine: State examinations use different scales (e.g. 18-point Law scale). See below.
Step-by-Step Calculation
ECTS credit-weighted average
  1. Grades awarded: Each module graded numerically (1.0–5.0) or via descriptors mapped to numbers.
  2. ECTS weighting: Weighted grade = Module grade × ECTS credits.
  3. Final average: Σ(Weighted grades) ÷ Σ(ECTS credits).
  4. Thesis: At many universities (e.g. TUM, RWTH), the thesis may be weighted double or triple its ECTS value.
  5. Rounding: Most institutions cut off after one decimal (e.g. 1.59 → 1.5) rather than rounding up.
German Grade Scale
Standard university grades (KMK)
NumericDescriptorMeaning
1.0–1.5Sehr gutVery good
1.6–2.5GutGood
2.6–3.5BefriedigendSatisfactory
3.6–4.0AusreichendSufficient (Pass)
5.0Nicht bestandenFail
Law Scale (18-Point System)
German state law examination — different from standard scale

Law (Jura) uses a separate 0–18 scale. A "9" (Befriedigend) is often considered strong; above 13 is elite.

PointsTermUS Approx.
16–18Sehr gutA+
13–15GutA
10–12VollbefriedigendA− / B+
7–9BefriedigendB
4–6AusreichendC (Pass)
0–3Mangelhaft / UngenügendF
Worked Example
4 modules
ModuleECTSGradeWeighted
Microeconomics62.012.0
Accounting61.710.2
Statistics92.320.7
Business Law33.09.0
Total-51.9

Final grade = 51.9 ÷ 24 = 2.16 (Gut)

Types of Averages Used in Germany
  • Module grade: Numeric grade for one module.
  • Weighted average grade: Credit-weighted final result.
  • Converted GPA: Calculated only for international applications.
Top Universities in Germany

Ludwig Maximilian University of Munich (LMU)

System: 1.0–5.0, ECTS-weighted

Uses ECTS grading tables for rankings.

Regulations

Technical University of Munich (TUM)

System: Numeric grading, ECTS

Strict ECTS-weighted averages for Master's eligibility.

Regulations

Heidelberg University

System: 1.0–5.0

1.0 is historically rare in Humanities.

Regulations

Humboldt University of Berlin

System: Numeric grading

Examination regulations.

Regulations

RWTH Aachen University

System: Numeric grading

Engineering modules often have high fail rates; a 3.0 is respected.

Regulations
International Conversion (Modified Bavarian Formula)
Recognized standard for German ↔ US/UK grade conversion

To convert US GPA → German grade:

German grade = 1 + 3 × (N_max − N_d) ÷ (N_max − N_min)

Variables: N_max = best in your system (e.g. 4.0 US), N_min = minimum pass (e.g. 2.0 US), N_d = your grade.

Example: US GPA 3.6 → 1 + 3×(4.0−3.6)/(4.0−2.0) = 1 + 0.6 = 1.6 (Gut).

ECTS Ranking (Relative Grading)

Universities may provide an ECTS grading table showing your rank vs. recent graduates: A (top 10%), B (next 25%), C (next 30%), D (next 25%), E (next 10%). Used for scholarships and international comparison.

Frequently Asked Questions (Germany)

Educational estimates only • Verify with your institution