Maximum Heart Rate Formula Comparison Calculator
Written by Thierno Sadou Diallo, formula verified per our methodology • Last checked on 9/5/2026
No formula for estimating maximum heart rate from age alone is perfectly accurate: the classic formula (220 − age), the Tanaka formula (208 − 0.7 × age), and the Gulati formula, specific to women (206 − 0.88 × age), give different results for the same age. At 30, they give 190, 187, and 179.6 beats per minute respectively.
Explanation
Theoretical maximum heart rate can only be measured with certainty by a medically supervised exercise stress test: every formula based on age alone is just a statistical estimate, with a significant individual margin of error (often cited around ±10 to 12 beats per minute). This calculator shows three established formulas side by side rather than just one, to make this uncertainty visible instead of hiding it behind a single figure that looks precise. The classic formula (220 − age), the oldest and best known, comes from a rough estimate published in the 1970s, without as rigorous a statistical basis as more recent formulas. The Tanaka formula (208 − 0.7 × age), established in 2001 from a meta-analysis of many studies, is used consistently across this site's other cardio calculators (our target heart rate calculator and our basal metabolic rate comparison calculator, among others) to keep results consistent from one tool to another. The Gulati formula (206 − 0.88 × age), published in 2010 from a cohort of over 5,000 women, was specifically established for the female population: it reflects the fact, documented by this study, that maximum heart rate declines on average slightly more slowly with age in women than in men, which explains the visible gap with the two other, more general-purpose formulas.
Example: comparison at age 30
Inputs
Age: 30.
Calculation
Classic formula: 220 − 30 = 190 bpm. Tanaka formula: 208 − 0.7×30 = 187 bpm. Gulati formula: 206 − 0.88×30 = 179.6 bpm.
Result
The three formulas give different results (190, 187, and 179.6 bpm) for the same age, a gap that illustrates the uncertainty inherent in any estimate based on age alone.
Frequently asked questions
Which formula should I use for training?
The Tanaka formula is generally considered the most reliable for a mixed population, being based on a larger and more recent meta-analysis than the classic 220 − age formula. For a woman, the Gulati formula, specifically established on a female population, may give a more representative estimate. In all cases, these formulas remain average statistical estimates, not a guaranteed individual measurement.
Why does the Gulati formula give lower values than the other two?
Because it was specifically established from data measured in women, who show on average a slightly slower decline in maximum heart rate with age than men. The other two formulas (220 − age and Tanaka) were originally established on populations that were mostly or entirely male, or on a mixed population not differentiated by sex.
How can I get a more precise measurement than these three formulas?
Only a supervised exercise stress test conducted by a qualified health professional or fitness trainer, with cardiac monitoring, can measure an individual's actual maximum heart rate rather than statistically estimating it from age alone. This is the only recommended method before setting up an intensive cardio training program based on precise zones, especially for someone with cardiovascular risk factors.