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  3. /Marathon & Distance Running
  4. /Max Heart Rate Calculator

Max Heart Rate Calculator

Calculator

Results

Maximum Heart Rate

187

bpm

Zone 1 Low

94

bpm

Zone 1 High

112

bpm

Zone 2 Low

112

bpm

Zone 2 High

131

bpm

Zone 3 Low

131

bpm

Zone 3 High

150

bpm

Zone 4 Low

150

bpm

Zone 4 High

168

bpm

Zone 5 Low

168

bpm

Zone 5 High

187

bpm

Results

Maximum Heart Rate

187

bpm

Zone 1 Low

94

bpm

Zone 1 High

112

bpm

Zone 2 Low

112

bpm

Zone 2 High

131

bpm

Zone 3 Low

131

bpm

Zone 3 High

150

bpm

Zone 4 Low

150

bpm

Zone 4 High

168

bpm

Zone 5 Low

168

bpm

Zone 5 High

187

bpm

The Max Heart Rate Calculator estimates your maximum heart rate (MHR) using four scientifically validated formulas, then derives your five heart rate training zones. Maximum heart rate is the highest number of beats per minute your heart can achieve during maximal exertion and serves as the foundation for all heart rate-based training programs. Whether you are a recreational jogger, competitive athlete, or cardiac rehabilitation patient, knowing your MHR allows you to train at precisely the right intensity for your goals.

The most commonly cited formula, Fox formula (220 - age), was published by Fox, Naughton, and Haskell in 1971 and has been the default estimate used in fitness facilities worldwide for over five decades. Despite its popularity, research has shown it can overestimate MHR in younger individuals and underestimate it in older adults. The standard deviation is approximately 10-12 beats per minute, meaning the true MHR could be significantly different from the estimate for any given individual.

The Tanaka formula (208 - 0.7 x age), published in the Journal of the American College of Cardiology in 2001, was derived from a meta-analysis of 351 studies involving 18,712 subjects. It has been shown to be more accurate than the Fox formula across a wider age range, particularly for older adults. The Tanaka formula has a standard error of approximately 7 beats per minute, making it the most widely recommended formula in contemporary exercise science literature.

The Gulati formula (206 - 0.88 x age) was developed specifically for women, based on a study of 5,437 asymptomatic women published in Circulation in 2010. This formula addresses the well-documented finding that women tend to have slightly different age-related MHR decline patterns compared to men. When a female user selects this formula, they get a sex-specific estimate that may be more accurate than unisex formulas.

The Gellish formula (207 - 0.7 x age), published in Medicine and Science in Sports and Exercise in 2007, was derived from a study of 908 participants and produces results very similar to the Tanaka formula. It provides a useful cross-reference for validating MHR estimates.

Once MHR is estimated, the calculator derives five training zones that correspond to distinct physiological adaptations. Zone 1 (50-60% MHR) is the recovery zone, ideal for warm-ups, cool-downs, and active recovery between hard training sessions. Zone 2 (60-70% MHR) is the fat-burning or aerobic base zone, where the body preferentially metabolizes fat for fuel and builds fundamental cardiovascular fitness. Zone 3 (70-80% MHR) is the aerobic zone where significant cardiovascular adaptations occur, including increased stroke volume and mitochondrial density. Zone 4 (80-90% MHR) is the anaerobic threshold zone where lactate begins to accumulate, corresponding to tempo and threshold training. Zone 5 (90-100% MHR) is the VO2max zone used for high-intensity intervals and near-maximal efforts.

It is important to note that all formula-based MHR estimates are population averages. Individual MHR can vary by 10-20 bpm from predicted values due to genetics, fitness level, medications, and other factors. The gold standard for determining true MHR is a graded exercise test (GXT) performed under medical supervision. However, these formulas provide a practical starting point for the vast majority of exercisers.

Heart rate training has gained enormous popularity with the advent of wearable technology. Devices from Garmin, Polar, Apple Watch, and Whoop all use heart rate zones to guide training intensity. Inputting an accurate MHR into your device ensures that zone-based training recommendations are calibrated correctly for your physiology.

Visual Analysis

How It Works

The calculator applies the selected formula to estimate maximum heart rate:

Tanaka: $$\text{MHR} = 208 - 0.7 \times \text{age}$$

Fox: $$\text{MHR} = 220 - \text{age}$$

Gulati (women): $$\text{MHR} = 206 - 0.88 \times \text{age}$$

Gellish: $$\text{MHR} = 207 - 0.7 \times \text{age}$$

Training zones are calculated as percentages of MHR. Each zone represents the midpoint of its range: Zone 1 at 55%, Zone 2 at 65%, Zone 3 at 75%, Zone 4 at 85%, and Zone 5 at 95% of MHR.

Understanding Your Results

The Maximum Heart Rate is the estimated upper limit of your heart rate during maximal exertion. The five zone values represent the midpoint heart rate for each training zone. Use Zone 1-2 for easy and recovery runs, Zone 3 for steady-state aerobic training, Zone 4 for tempo and threshold work, and Zone 5 for intervals and race efforts. If you find that training in a particular zone feels significantly too easy or too hard, your actual MHR may differ from the estimate, and you should consider adjusting based on perceived exertion or a formal exercise test.

Worked Examples

30-Year-Old Using Tanaka Formula

Inputs

age30
formula typetanaka
gendermale

Results

max hr187
zone1103
zone2122
zone3140
zone4159
zone5178

Tanaka gives 208 - 0.7(30) = 187 bpm. Zone 2 fat-burn midpoint is about 122 bpm; Zone 4 threshold is 159 bpm.

45-Year-Old Woman Using Gulati Formula

Inputs

age45
formula typegulati
genderfemale

Results

max hr166
zone191
zone2108
zone3125
zone4141
zone5158

Gulati gives 206 - 0.88(45) = 166 bpm. The sex-specific formula accounts for different MHR patterns in women.

Frequently Asked Questions

The Tanaka formula (208 - 0.7 x age) is generally considered most accurate based on the largest meta-analysis. However, all formulas have a standard deviation of 7-12 bpm, so individual results may vary. A graded exercise test is the gold standard.

The Fox formula tends to overestimate MHR in younger people and underestimate it in older adults. It was derived from limited data in 1971 and has been superseded by formulas based on larger, more diverse study populations.

Research suggests women may have slightly different age-related MHR decline. The Gulati formula was developed specifically for women and may be more accurate. However, the Tanaka formula also performs well for both sexes.

Yes. Beta-blockers significantly lower max heart rate, sometimes by 20-30 bpm. Other medications like calcium channel blockers and certain antiarrhythmics also affect heart rate. If you take heart-affecting medications, consult your physician for adjusted training zones.

A field test such as a 3-minute all-out run on a hill, or repeated 400-meter intervals with decreasing rest, can approximate MHR. The highest heart rate recorded during the test is close to your true MHR. Always warm up thoroughly and consult a doctor if you have health concerns.

Yes, genetics play a significant role in individual MHR. Two people of the same age can have MHR values that differ by 20 or more beats per minute. This is why formula-based estimates should be treated as starting points rather than absolute values.

Sources & Methodology

Tanaka, H., Monahan, K.D., & Seals, D.R. (2001). Age-predicted maximal heart rate revisited. Journal of the American College of Cardiology, 37(1), 153-156; Fox, S.M., Naughton, J.P., & Haskell, W.L. (1971). Physical activity and the prevention of coronary heart disease. Annals of Clinical Research, 3, 404-432; Gulati, M. et al. (2010). Heart rate response to exercise stress testing in asymptomatic women. Circulation, 122(2), 130-137; Gellish, R.L. et al. (2007). Longitudinal modeling of the relationship between age and maximal heart rate. Medicine and Science in Sports and Exercise, 39(5), 822-829.
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Roboculator Team

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