Heart Rate Zone Calculator (Karvonen Method)
Calculate your 5 heart rate training zones using the Karvonen formula. Enter your age and resting heart rate for personalized zone targets.
Estimate your maximum heart rate using several common age-prediction equations, including Fox, Tanaka, Gulati, Gellish, Nes, Fairbarn, and Oakland.
| Formula | Year | HRmax | Diff from Avg | Notes |
|---|---|---|---|---|
| Fox | 1971 | 185 bpm | +1 bpm | Classic 220−age; most widely cited but least accurate |
| Tanaka ★ | 2001 | 184 bpm | 0 bpm | Meta-analysis of 351 studies, 18,712 subjects |
| Gellish | 2007 | 183 bpm | -1 bpm | Longitudinal study, broad age range |
| Nes | 2013 | 189 bpm | +5 bpm | Norwegian study, 3,320 healthy adults |
| Fairbarn (M) | 1994 | 180 bpm | -4 bpm | Male-specific |
| Oakland | 2001 | 183 bpm | -1 bpm | Non-linear; better at age extremes |
| 20 | 25 | 30 | 35 | 40 | 45 | 50 | 55 | 60 | 65 | 70 |
|---|---|---|---|---|---|---|---|---|---|---|
| 194 | 191 | 187 | 184 | 180 | 177 | 173 | 170 | 166 | 163 | 159 |
Your maximum heart rate (HRmax) is the highest number of beats per minute your heart can achieve during all-out exertion. It's a critical number for setting your heart rate training zones, estimating VO₂max, and monitoring exercise intensity. But there's no single perfect formula to estimate it.
This calculator applies 7 research-backed equations to your age and sex. The classic “220 minus age” formula is the most widely known but has significant variability. Newer formulas like Tanaka, Gulati, and Gellish are often more accurate for specific populations.
By comparing all formulas side by side, you can see the range of estimates and choose the one most appropriate for your age, sex, and fitness level.
Using a single formula can over- or underestimate your HRmax by about 10 to 20 bpm. Comparing several equations gives you a more realistic range before you set training zones, and it makes it easier to decide whether a general formula or a women-specific option like Gulati better fits your use case.
1. Fox: HRmax = 220 − age
2. Tanaka: HRmax = 208 − 0.7 × age
3. Gulati, women: HRmax = 206 − 0.88 × age
4. Gellish: HRmax = 207 − 0.7 × age
5. Nes: HRmax = 211 − 0.64 × age
6. Fairbarn, men: HRmax = 208 − 0.80 × age
Fairbarn, women: HRmax = 201 − 0.63 × age
7. Oakland: HRmax = 192 − 0.007 × age²Result: Range: 171 to 185 bpm | Gulati (women-specific): 171 bpm | Average: 179 bpm
For a 40-year-old woman: Fox gives 180, Tanaka 180, Gulati 171 (women-specific), Gellish 179, Nes 185, Fairbarn(F) 176, Oakland 181. The Gulati formula (171 bpm) is considered most accurate for women. The average across all applicable formulas is ~179 bpm, with a 14 bpm range showing why using multiple formulas matters.
The original 220−age formula attributed to Fox, Naughton, and Haskell was never meant to be a research-grade prediction tool. It was a rough linear estimate from observing subjects in a meta-analysis. Despite its limitations, it became the default because of its simplicity. Later formulas from Tanaka and other researchers offered more rigorous alternatives based on larger and more diverse populations.
The most important thing to understand about HRmax is that individual variation is enormous. Two 40-year-olds might have actual max heart rates of 165 and 195. No formula can account for this — genetics play a dominant role. If heart rate training is central to your program, invest in a lab test or carefully executed field test to determine your actual HRmax.
After a thorough 15-minute warm-up, do 3 sets of 3-minute hard efforts (at near-maximum intensity) with 1-minute recovery between each. The peak heart rate during the final set is your approximate HRmax. A treadmill hill sprint or rowing ergometer are ideal. This should only be attempted by healthy individuals after medical clearance.
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This worksheet applies several age-predicted maximum-heart-rate equations side by side and shows the resulting range, average, and sex-specific options where available. It is intended as a comparison tool so users can see how much the estimate changes by formula before using the number for training zones.
The page does not measure actual HRmax. A true maximal exercise test can still differ meaningfully from any age-based estimate, so the result should be treated as a starting range rather than a definitive physiological limit.
The Fox formula (220−age) was derived from a meta-analysis using data primarily from young, healthy males. It has a standard error of about ±10 to 12 bpm and was never validated in a rigorous controlled study. It tends to overestimate HRmax in younger adults and underestimate it in older adults. Newer formulas like Tanaka and Gellish were developed with larger, more diverse populations.
Yes, on average. Women tend to have slightly lower HRmax values than men of the same age, though there's significant individual overlap. The Gulati formula was specifically developed using data from 5,437 asymptomatic women and accounts for this difference. Using the generic 220−age can overestimate HRmax for women.
No. Max heart rate is primarily determined by genetics and age. A trained athlete and a sedentary person of the same age typically have similar HRmax values. What changes with fitness is resting heart rate (lower) and the ability to sustain higher heart rates for longer. Stroke volume, not heart rate, is the primary cardiac adaptation to training.
Yes — the formulas produce estimates with about 10 to 12 bpm of error. If you regularly see heart rates higher than your calculated max during intense exercise, your actual HRmax is likely higher than the estimate. Update your training zones based on the highest heart rate you've genuinely achieved during all-out effort.
At moderate to high altitude (above 5,000 feet), max heart rate may decrease slightly (about 2 to 5 bpm at 8,000 feet, more at extreme altitude). This is due to reduced oxygen availability and physiological adaptations. If training at altitude, zones may need slight adjustment downward.
For women: Gulati is a strong dedicated option. For men over 40: Tanaka or Gellish. For young adults: Any formula works reasonably well, but Tanaka is generally preferred. For the best accuracy, use the average of the applicable formulas and adjust based on your own observed maximum during hard exercise.
Calculate your 5 heart rate training zones using the Karvonen formula. Enter your age and resting heart rate for personalized zone targets.
Calculate a target heart rate range for different exercise intensities using both %HRmax and Karvonen methods.
Estimate your VO2max from the Cooper 12-minute run test. Enter the distance you covered to get your aerobic fitness rating and age-based percentile.