GB stands for games back — how many games separate a team from first place. It is one of several columns that look
simple but each answer a different question: win percentage, games back, and the "expected" record from run differential. Here is
what each column means, the exact formulas, and worked examples you can check against the
games back calculator and baseball standings builder.
Short answer: games back is half the sum of the wins you trail by and the losses you lead by.
Standings are ordered by win percentage, not by raw wins, because teams often play a different number of games. Win percentage is
simply wins divided by total decisions:
win% = wins / (wins + losses)
A team at 18-6 has played 24 games and won 18, so its win percentage is 18 / 24 = .750. Baseball shows this to three decimals and
drops the leading zero. Ties, where they exist, are excluded from the calculation — this is the standard convention, and it is what
the calculator does.
Games back: distance from first place
"Games back" (GB) measures how far a team trails the leader in a single number that accounts for both the leader's extra wins and the
trailing team's extra losses:
Take a leader at 18-6 and a chaser at 15-9. The leader has 3 more wins, and the chaser has 3 more losses, so GB = (3 + 3) / 2 = 3.0.
The first-place team is always zero games back and shows a dash. Because it averages wins and losses, games back can land on a half —
a team can be 3.5 games back.
Team
W
L
PCT
GB
River Hawks
18
6
.750
—
Bay Bears
15
9
.625
3.0
Timber Wolves
12
12
.500
6.0
Sand Pipers
9
15
.375
9.0
Magic number: when a race is settled
Games back says how far behind a team is. The magic number says how much longer the race can last: the combined number of leader wins
and chaser losses that clinches first place.
Magic number = games in the season + 1 − leaderWins − chaserLosses
In a 30-game season, an 18-6 leader chased by a 15-9 team has a magic number of 30 + 1 − 18 − 9 = 4. When several teams are still
alive, the leader has only clinched once the largest of those numbers reaches zero — the second-placed team is not always the most
dangerous one if others have games in hand. The
magic number and elimination calculator works it out for every
challenger, and takes one off when the leader already holds the tiebreaker.
Pythagorean expectation: lucky or earned?
Two teams with the same record can be very different underneath. Run differential — runs scored minus runs allowed — is the quickest
tell. Bill James turned it into an expected win percentage, the "Pythagorean" formula, because the original version squared the runs:
expected win% = RS^1.83 / (RS^1.83 + RA^1.83)
The exponent 1.83 is a refinement that fits real baseball better than a flat 2. A team that has scored 140 and allowed 78 has an
expected win percentage near .745 — so an actual .750 record is well earned. If a team's actual record sits far above its expected
record, it has probably won more one-run games than it "should," and some regression is likely.
Multiply the expected win percentage by games played to get a projected record. The calculator does this automatically once you enter
runs scored and runs allowed for each team.
Grouping teams into divisions
Most leagues run divisions or pools. Add a division label to each team and the calculator produces a separate, independently sorted
table for each group — each with its own leader and its own games-back column. Leave the label blank to keep everyone in one table.
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