Maximum Heart Rate Calculator

Calculate your estimated maximum heart rate using three formulas side by side. Includes Karvonen zone calculations, resting heart rate analysis, and safe exercise intensity guidance.

Maximum Heart Rate Calculator — All Formulas Compared

Standard Formula
bpm
220 − age
Tanaka Formula
bpm
208 − (0.7 × age)
Recommended
Gellish Formula
bpm
207 − (0.7 × age)
Karvonen Training Zones (using Tanaka Max HR + Resting HR)

Understanding Maximum Heart Rate

Maximum heart rate (Max HR or MHR) is the highest number of times your heart can beat in one minute. It represents the upper limit of cardiovascular effort and serves as the reference point for calculating all training heart rate zones. Unlike resting heart rate, which changes with fitness, maximum heart rate is largely determined by age and genetics.

Knowing your maximum heart rate allows you to set precise training intensities. Exercise physiologists and sports scientists use Max HR as the baseline for designing training programmes targeting specific energy systems and physiological adaptations.

The Three Major Formulas

Several formulas have been developed to estimate maximum heart rate from age. Each has different accuracy characteristics:

Traditional (Fox, 1971): Max HR = 220 − age
Example (age 40): 220 − 40 = 180 bpm

Tanaka (2001): Max HR = 208 − (0.7 × age)
Example (age 40): 208 − 28 = 180 bpm

Gellish (2007): Max HR = 207 − (0.7 × age)
Example (age 40): 207 − 28 = 179 bpm

The traditional 220 − age formula is the most widely known and cited, but research has shown it has a standard error of approximately ±12 bpm and systematically overestimates max HR in young people while underestimating it in older people. The Tanaka formula, published in the Journal of the American College of Cardiology in 2001, was derived from meta-analysis of 351 studies and is now considered more accurate across all age groups.

Individual Variation

Regardless of which formula you use, individual maximum heart rates vary considerably. Two people of identical age may have maximum heart rates differing by 20+ bpm. This natural variation means all formulas provide an estimate, not a definitive value. The only way to determine your true maximum heart rate with certainty is through a maximal graded exercise test under medical supervision.

Factors that influence maximum heart rate include genetics, biological sex (women typically have slightly higher max HR than men of the same age), altitude, temperature, hydration status, and the specific exercise modality (running typically produces the highest max HR; cycling and swimming typically produce slightly lower values).

Max HR by Age: Reference Table

Age220 − ageTanaka (208 − 0.7×age)Gellish (207 − 0.7×age)Variation Range

Variation range shows approximate ±10 bpm individual variation around the Tanaka estimate.

Heart Rate Reserve and the Karvonen Method

Heart Rate Reserve (HRR) is the difference between your maximum heart rate and your resting heart rate. It represents the true working range of your cardiovascular system:

HRR = Max HR − Resting HR
Example: Max HR 180, Resting HR 60 → HRR = 120 bpm

The Karvonen method uses HRR to calculate more personalised training zones, accounting for individual fitness through the resting heart rate component:

Target HR = Resting HR + (HRR × Intensity%)
Zone 2 (65%): 60 + (120 × 0.65) = 60 + 78 = 138 bpm

The Karvonen method produces higher target heart rates for fitter individuals (who have lower resting heart rates), which better reflects the physiological reality that a fit person needs to work harder to achieve the same relative cardiovascular stimulus.

How to Find Your True Maximum Heart Rate

Safety Warning: Attempting to reach your true maximum heart rate requires maximum physical effort. Anyone over 35 years of age, or anyone who has been sedentary, should consult their GP before performing maximum effort exercise. Do not attempt max HR tests if you have heart disease, hypertension, chest pain, or any other cardiovascular condition.

Supervised methods include:

Graded Exercise Test (GXT): Performed in a hospital or sports lab on a treadmill or cycle ergometer. Speed/resistance is progressively increased until the subject cannot continue. This is the gold standard but requires professional supervision and equipment.

Field Test — 1 Mile Run: After a thorough warm-up, run 1 mile as fast as possible. Sprint maximally in the final 200 metres. Heart rate at the finish line is close to max HR for most people.

400m All-Out Sprint: After warm-up, sprint 400 metres at maximum effort. Your heart rate immediately after finishing is typically close to your maximum.

VO2 Max and Maximum Heart Rate

VO2 max — the maximum volume of oxygen your body can consume during exercise — is closely related to maximum heart rate, though they are distinct measurements. Higher maximum heart rate means the heart can deliver more blood per minute (cardiac output = heart rate × stroke volume), which generally supports higher VO2 max. However, trained athletes achieve high VO2 max values as much through increased stroke volume and better oxygen extraction as through max heart rate, which explains why endurance training does not significantly change max HR.

The relationship between heart rate and oxygen uptake is approximately linear between 50% and 90% of max HR, making heart rate a reliable proxy for exercise intensity monitoring in this range.

Resting Heart Rate and What It Tells You

While maximum heart rate tells you your cardiovascular ceiling, resting heart rate tells you about your cardiovascular efficiency at rest. The NHS classifies resting heart rate as follows:

Resting HR (bpm)ClassificationTypical For
Below 40Athletic bradycardiaElite endurance athletes
40–60ExcellentTrained athletes, very fit individuals
60–75Good / AverageModerately active healthy adults
75–100Normal but elevatedSedentary adults, stress, caffeine
Above 100TachycardiaConsult a doctor

Consistent aerobic exercise over weeks and months reliably lowers resting heart rate. Tracking resting heart rate (measured first thing in the morning) is one of the most accessible ways to monitor cardiovascular fitness improvement over time.

Frequently Asked Questions

What is the most accurate formula for maximum heart rate?
Research indicates the Tanaka formula (208 − 0.7 × age) is more accurate than the traditional 220 − age formula, especially for adults over 40. The traditional formula tends to overestimate max HR for young people and underestimate it for older people. The Gellish formula (207 − 0.7 × age) is nearly identical to Tanaka. For the most accurate result, a supervised graded exercise test is needed, as individual variation of ±10-12 bpm is common.
Does maximum heart rate change with fitness?
No. Maximum heart rate is primarily determined by age and genetics, not fitness level. Regular training does not increase maximum heart rate. What training improves is efficiency: a fit person has lower heart rate at any given submaximal exercise intensity, larger stroke volume (more blood pumped per beat), and better oxygen extraction. The result is a higher VO2 max despite no change in max HR.
What is a dangerous heart rate during exercise?
For healthy, fit individuals, brief periods at or near maximum heart rate are safe. For general exercise, the NHS recommends targeting 50-85% of estimated max HR. Stop exercising and seek medical attention if you experience: chest pain, pressure, or tightness; dizziness or lightheadedness; irregular heartbeat; unusual shortness of breath; nausea or cold sweats during exercise. If in doubt, consult your GP before high-intensity exercise.
What is heart rate reserve (HRR)?
Heart Rate Reserve = Maximum HR − Resting HR. It represents your heart's working range. The Karvonen formula uses HRR to calculate training zones: Target HR = Resting HR + (HRR × intensity%). This is more accurate than simple percentage of max HR because it accounts for individual fitness differences captured by the resting heart rate.
How does VO2 max relate to maximum heart rate?
VO2 max (maximum oxygen uptake) depends on cardiac output (heart rate × stroke volume) and oxygen extraction. Maximum heart rate contributes to potential VO2 max, but training improves VO2 max primarily by increasing stroke volume and oxygen extraction, not max HR. Two people can have the same max HR but very different VO2 max values depending on their fitness level.
Is it safe to test your actual maximum heart rate?
Reaching true maximum heart rate requires all-out effort and is only advisable for healthy, regularly active individuals. The NHS advises anyone over 35, or anyone who has been sedentary, to consult a GP before maximum effort exercise tests. People with any cardiovascular conditions, hypertension, or uncontrolled medical conditions should not perform maximum HR tests without medical supervision. For most people, using an age-based formula is perfectly adequate for training zone planning.
MB
Mustafa Bilgic
Fitness & Health Calculator Specialist | Published: 1 Jan 2025 | Updated: 20 Feb 2026

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