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Max Heart Rate Calculator

Compare four published age equations for maximum heart rate. They describe group averages; an individual's true maximum commonly differs by about ±11 bpm, so a maximum you have actually measured is the better zone anchor.

Age-equation range
171–185bpm

Lowest to highest of the four equations at age 40. Each is a population average, not a personal measurement.

Typical individual error

about ±11 bpm

Max heart rate by age equation

Estimated maximum heart rate at age 40 from four published equations
EquationCalculationEstimateDerived from
Fox (220 − age)220 − 40 = 180.0180 bpmRule of thumb drawn from about 11 earlier data sets, not a fitted regression
Tanaka 2001208 − 0.7 × 40 = 180.0180 bpmMeta-analysis of 18,712 healthy adults; no sex difference found
Gulati 2010 (women)206 − 0.88 × 40 = 170.8171 bpm5,437 asymptomatic women, mean age 52 ± 11
Nes / HUNT 2013211 − 0.64 × 40 = 185.4185 bpm3,320 healthy Norwegian men and women

Carry one value to heart-rate zones

A maximum observed during a hard, well-warmed-up effort beats any equation. If you have none, choose the estimate whose study population is closest to you and treat the zones as provisional.

Enter 180 bpm (Tanaka 2001) as Max HR in the Heart Rate Zone Calculator. An individual's true maximum could plausibly sit anywhere from about 169 to 191 bpm.

Educational estimates, not medical advice. Maximal efforts are strenuous; anyone with symptoms, a heart condition, or heart-rate-altering medication should get clinical guidance before testing.

About Max Heart Rate Calculator

Compare four published age equations for maximum heart rate side by side. Each is a population average with about ±11 bpm individual error, so a measured maximum is preferred for zones.

Max heart rate by age: four equations and their error

Age explains much of the average decline in maximum heart rate, but not where one person sits. Use the equations to see a plausible range, then replace them with a maximum you have actually measured.

Where each equation comes from

220 − age is usually attributed to Fox and colleagues (1971). Robergs and Landwehr traced it to observations from about 11 earlier data sets rather than an original regression study, and concluded that it has no scientific merit for precise use in exercise physiology.

Tanaka, Monahan and Seals pooled 351 studies covering 18,712 adults and derived 208 − 0.7 × age, then confirmed almost the same line (209 − 0.7 × age) in 514 laboratory-tested adults; men and women did not differ. Gulati and colleagues found mean peak heart rate of 206 − 0.88 × age in 5,437 asymptomatic women. Nes and colleagues measured 3,320 healthy adults in the Norwegian HUNT study and reported 211 − 0.64 × age.

Worked example at age 40

Fox gives 220 − 40 = 180 bpm. Tanaka gives 208 − 0.7 × 40 = 180 bpm. Gulati gives 206 − 0.88 × 40 = 170.8, shown as 171 bpm. Nes gives 211 − 0.64 × 40 = 185.4, shown as 185 bpm. The equations alone span 171–185 bpm.

The bigger uncertainty is individual. Nes reported a standard error of estimate of 10.8 beats/min, and Robergs and Landwehr summarised 7–11 beats/min for age equations, so a 40-year-old whose average estimate is 180 bpm could plausibly have a true maximum from about 169 to 191 bpm, and some people fall further out.

Measure instead of predicting

The highest heart rate recorded with a reliable chest strap during a hard race finish or an all-out uphill effort after a thorough warm-up is usually a better zone anchor than any age equation. Beta-blockers and some other medications lower maximum heart rate, and wrist sensors can lag or spike.

  • Use one value consistently when you set zones and compare training.
  • Expect running and cycling maximums to differ for the same person.
  • Seek clinical guidance before maximal efforts if you have symptoms or a heart condition.

Frequently asked questions

Is 220 minus age accurate?

It is a convenient average, not a personal measurement. Its origin is not a fitted regression, and individual maximums commonly differ from any age equation by about 10 bpm or more.

Which max heart rate formula should I use?

Prefer a measured maximum. Without one, Tanaka and Nes come from large samples of healthy adults, and Gulati was derived only from women; whichever you choose, treat zones built on it as provisional.

Does fitness change maximum heart rate?

Tanaka and Nes found little effect of habitual activity or VO2 max on the age relationship. Training mainly changes how much work you can do at a given heart rate, not the maximum itself.

Method sources