The most widely used formula for maximum heart rate is 220 minus your age. A 40-year-old, for example, would have an estimated max of 180 beats per minute (bpm). But this formula is a rough estimate with a surprisingly unscientific origin, and several newer alternatives may give you a more accurate number depending on your sex and fitness level.
The Standard Formula: 220 Minus Age
The classic formula dates back to 1971, when researchers Fox, Naughton, and Haskell plotted roughly 35 data points on a graph showing how max heart rate appeared to decline with age. They never ran a regression analysis or formal statistical test. They simply eyeballed a line through the data and noted that “no single line will adequately represent the data on the apparent decline of maximal heart rate with age.” Despite that caveat, the formula stuck. It became the standard taught in exercise physiology courses, used in fitness certifications, and recommended by the American Heart Association, which still describes maximum heart rate as “about 220 minus your age.”
The formula’s appeal is its simplicity. It requires no equipment, no lab visit, and no math beyond subtraction. But simplicity comes at a cost: age alone accounts for only 35 to 80 percent of the variation in true max heart rate, and the standard deviation across individuals is 10 to 12 bpm. Some studies have found deviations as large as 14 to 15 bpm. That means if you’re 50 and the formula says your max is 170, your actual max could reasonably fall anywhere from about 158 to 182.
Newer Formulas Worth Knowing
Researchers have proposed updated equations that tend to perform better for specific groups. The two most cited alternatives are the Tanaka formula and the Gulati formula.
Tanaka Formula
Published in 2001, this equation is: 208 minus 0.7 times your age. For a 40-year-old, that gives a max of 180, which happens to match the Fox formula at that age. The difference grows at the extremes. A 20-year-old gets 194 instead of 200, and a 70-year-old gets 159 instead of 150. Research on recreational marathon runners found that the Tanaka formula was closer to measured max heart rate in men, while the traditional Fox formula underestimated it by about 3 bpm in that group. For men who exercise regularly, Tanaka is generally the better pick.
Gulati Formula (for Women)
The standard 220-minus-age formula was derived almost entirely from data on men. In 2010, researcher Martha Gulati and colleagues developed a formula specifically for women: 206 minus 88 percent of your age. For a 40-year-old woman, that gives about 171 bpm, notably lower than the 180 the traditional formula would suggest.
This matters in practice. Using the old formula, women were more likely to receive a worse prognosis than they actually had during cardiac stress testing, because their measured heart rates fell short of a male-derived target. With the Gulati formula, doctors can more accurately judge whether a woman’s heart rate response to exercise is normal or abnormal. If you’re a woman using heart rate to guide your workouts, this formula will give you more realistic training zones.
Gellish Formula
From a longitudinal study of active adults: 207 minus 0.7 times your age. It’s nearly identical to the Tanaka equation and was developed using repeated testing over time, which helped account for the fact that people often produce lower max heart rates during their first lab test simply because the experience is unfamiliar. Gellish’s research also found that sex was not a significant factor in predicting max heart rate within their active population.
Quick Comparison by Age
- Age 30: Fox = 190, Tanaka = 187, Gulati (women) = 180
- Age 40: Fox = 180, Tanaka = 180, Gulati (women) = 171
- Age 50: Fox = 170, Tanaka = 173, Gulati (women) = 162
- Age 60: Fox = 160, Tanaka = 166, Gulati (women) = 153
Why Your Actual Max May Differ
Every formula is a population average, not a personal measurement. Several factors can push your real number higher or lower than any equation predicts.
Genetics play a significant role. Two people of the same age, sex, and fitness level can have max heart rates that differ by 20 bpm or more. There’s no simple screening test to predict where you fall on that spectrum. Certain medications, particularly beta-blockers and some blood pressure drugs, directly lower heart rate, which means your functional max during exercise will be lower than any formula suggests. Altitude also matters: exercising at high elevation reduces the oxygen available to your body, and maximal exercise performance at altitude is always reduced compared to sea level. Fitness level itself doesn’t reliably raise or lower max heart rate the way most people assume. A well-trained endurance athlete and a sedentary person of the same age can have similar max heart rates. What training changes is how much work your heart can do per beat, not how fast it can beat.
How to Measure It Directly
If you want your actual number rather than an estimate, the gold standard is a graded exercise test, typically done on a treadmill or stationary bike in a clinical or sports performance setting. The most common protocol gradually increases speed and incline every few minutes until you can’t continue. Your heart rate is monitored continuously, and the highest value recorded is your measured max.
A less formal option is a field test: after a thorough warm-up, run three to four hard intervals of two to three minutes each at maximum effort, with short recovery between them. The highest heart rate you hit on the last interval is a reasonable approximation. A chest-strap heart rate monitor will give more reliable readings than a wrist-based optical sensor during high-intensity efforts.
Using Your Max to Set Training Zones
Once you have a max heart rate, whether estimated or measured, you can calculate training zones as a percentage of that number. The American Heart Association recommends moderate-intensity exercise at 50 to 70 percent of your max and vigorous activity at 70 to 85 percent. A more detailed five-zone framework breaks it down further:
- Zone 1 (50 to 60%): Very light effort, useful for warm-ups and recovery
- Zone 2 (60 to 70%): Light to moderate effort, the range where most endurance base training happens
- Zone 3 (70 to 80%): Moderate effort, a comfortable but challenging pace
- Zone 4 (80 to 90%): Hard effort, typically sustained during tempo runs or threshold intervals
- Zone 5 (90 to 100%): Maximum effort, only sustainable for short bursts
For a 45-year-old using the Tanaka formula, max heart rate would be about 176 bpm. Zone 2 would fall between 106 and 123 bpm, while Zone 4 would be 141 to 158 bpm. If your estimated max is off by even 10 bpm, every zone shifts accordingly, which is why getting a reasonably accurate max matters if you’re using heart rate to guide your training.