Uncover the hidden potential of your Generation 3 Pokémon (Ruby, Sapphire, Emerald, FireRed, LeafGreen) by calculating their exact Individual Values (IVs). This tool uses the official Gen 3 stat formula to determine the IV range based on the observed stat.
Gen 3 IV Calculator
Calculated IV (Individual Value)
—Detailed Calculation Steps
Enter your values and click ‘Calculate’ to see the step-by-step process.
Gen 3 IV Calculator Formula
The standard Gen 3 formula for Attack, Defense, Special Attack, Special Defense, and Speed is:
S = floor([ (B + IV + (E/4) ) * 2 + 5 ] * L / 100) * N
Where HP is slightly different (omitting the Nature Modifier $N$ and using $+10$ instead of $+5$).
Our calculator rearranges the formula to solve for the missing IV:
IV ≈ ( (S / N) * 100 / (2 * L) ) - B - (E/4)
Formula Sources:
Bulbapedia – Individual Values,
Serebii – Stat Mechanics
Variables Explained
- Pokémon Level (L): The current level (1-100) of the creature.
- Actual Stat Value (S): The final number seen in the game (the output).
- Base Stat Value (B): A fixed number for the Pokémon species (e.g., Charizard’s Attack Base is 84).
- Effort Value (E): Training points gained, ranging from 0 to 255 per stat.
- Individual Value (IV): The hidden random number (0-31) that determines potential. This is the value we solve for.
What is Gen 3 IV Calculator?
A Gen 3 IV Calculator is an essential tool for competitive players of Pokémon Ruby, Sapphire, Emerald, FireRed, and LeafGreen. IVs (Individual Values) are hidden stats, essentially genetic potential, randomly assigned to a Pokémon when it is encountered or hatched. In Generation 3, these values range from 0 (lowest potential) to 31 (highest potential).
Because the actual Stat (S) displayed in the game is derived from the Base Stat (B), Effort Value (E), Level (L), and IV, it is impossible to determine the IV directly. The calculator works by reversing the complex, tiered stat calculation formula, allowing trainers to input the observable values (S, L, B, E) and mathematically approximate the hidden IV, thereby revealing its true potential.
How to Calculate IVs (Example)
- Identify Inputs: A Level 50 Charizard has an Actual Attack Stat (S) of 115, a Base Attack Stat (B) of 84, and 120 Effort Value (E) in Attack, with a Neutral Nature (N=1.0).
- Approximate the Adjusted Stat: We must first isolate the combined Base, IV, and EV components. $$Adjusted Stat \approx \frac{115}{1.0} \times \frac{100}{2 \times 50} \approx 115$$
- Subtract Known Components: Subtract the Base Stat and the EV contribution ($\lfloor 120/4 \rfloor = 30$): $$IV \approx 115 – 84 – 30 = 1$$
- Final Result & Verification: The resulting IV is approximately 1. Due to the $\lfloor floor \rfloor$ function in the official formula, the calculator would then check this IV against the original formula to find the exact range (e.g., 0 to 3).
Frequently Asked Questions (FAQ)
- What is the maximum IV value? The maximum Individual Value (IV) for any stat is 31. This is often referred to as a “perfect” IV.
- How do IVs differ from EVs (Effort Values)? IVs are permanent, hidden, random values determined at the moment a Pokémon is obtained. EVs are earned through battling and are trainable/resettable.
- Does Nature affect IVs? No. Nature is a separate modifier (N=1.1 or 0.9) that affects the final Stat (S), but the IV itself remains unchanged regardless of Nature.
- Why is the calculated IV sometimes a range (e.g., 10-14)? Because the Gen 3 stat formula uses multiple rounding (floor) operations, several different IV values can lead to the same final stat value at lower levels. Calculating at a higher level (like 100) often narrows the range.