San Francisco Giants First-Place Clinch Scenario

San Francisco's traditional magic number (relative to first-place San Diego) is 17 + 137 - 16 + 1 = 139.
San Francisco's first-place clinch number is 131.
San Francisco must win 131 more games (147 total) to clinch first place.

If San Francisco wins 131 more games, their final win total will be at least 147.
The table below shows the best case scenario for each of the other teams if San Francisco wins 131 of their remaining 137 games and loses the other 6.
For each team, the table shows the current record (number of wins (W) and losses (L)) and the number of games that team has
left to play (GL) in the regular season. Taking the schedule of games left to play into account, the 'Losses to San Francisco' column gives the
minimum number of games that each team will lose to San Francisco if San Francisco wins 131 more games. Assuming that a team wins all of its remaining games except for
the games it loses to SanFrancisco, the resulting maximum number of wins is shown in the 'Maximum W' column.

Team             W	L	GL	Losses to San Francisco	Maximum W
San Diego        17	8	137	      13 - 6 = 7	147 *See tie-breaking notes below.
Los Angeles      16	9	137	      13 - 6 = 7	146
Arizona          14	10	138	      13 - 6 = 7	145
Colorado         4	18	140	      13 - 6 = 7	137

Tie-breakers:
San Francisco has won 0 game(s) against San Diego and lost 0.
There are 13 games left in the series.
In the scenario above, San Francisco wins 0 + 7 = 7 games against San Diego and loses 0 + 6 = 6.

The table above shows that if San Francisco wins 131 more games (147 total), then they will finish the season in first place in the division.

To see that San Francisco's first-place clinch number cannot be less than 131, consider the following scenario in which San Francisco wins 130 more games (146 total) but does not finish in first place:

Team             W	L	PCT	GB
Los Angeles      146	16	0.901	0.00
San Francisco    146	16	0.901	0.00
Arizona          96	66	0.593	50.00
San Diego        95	67	0.586	51.00
Colorado         64	98	0.395	82.00

Tie breakers
Los Angeles wins the season series with San Francisco 7 games to 6.

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
San Diego        17	8	137	0.680	0.0
Los Angeles      16	9	137	0.640	1.0
San Francisco    16	9	137	0.640	1.0
Arizona          14	10	138	0.583	2.5
Colorado         4	18	140	0.182	11.5

Next, we show how the remaining series of games in the division play out in the scenario:


Arizona currently has 0 wins against Colorado and 0 losses.
  Arizona wins 13 additional games against Colorado and loses 0.
  Arizona wins the series 13 games to 0

Los Angeles currently has 0 wins against Arizona and 0 losses.
  Los Angeles wins 13 additional games against Arizona and loses 0.
  Los Angeles wins the series 13 games to 0

Los Angeles currently has 3 wins against Colorado and 0 losses.
  Los Angeles wins 10 additional games against Colorado and loses 0.
  Los Angeles wins the series 13 games to 0

Los Angeles currently has 0 wins against San Diego and 0 losses.
  Los Angeles wins 12 additional games against San Diego and loses 1.
  Los Angeles wins the series 12 games to 1

Los Angeles currently has 0 wins against San Francisco and 0 losses.
  Los Angeles wins 7 additional games against San Francisco and loses 6.
  Los Angeles wins the series 7 games to 6

San Diego currently has 0 wins against Arizona and 0 losses.
  San Diego wins 9 additional games against Arizona and loses 4.
  San Diego wins the series 9 games to 4

San Diego currently has 3 wins against Colorado and 0 losses.
  San Diego wins 10 additional games against Colorado and loses 0.
  San Diego wins the series 13 games to 0

San Francisco currently has 0 wins against Arizona and 0 losses.
  San Francisco wins 13 additional games against Arizona and loses 0.
  San Francisco wins the series 13 games to 0

San Francisco currently has 0 wins against Colorado and 0 losses.
  San Francisco wins 13 additional games against Colorado and loses 0.
  San Francisco wins the series 13 games to 0

San Francisco currently has 0 wins against San Diego and 0 losses.
  San Francisco wins 13 additional games against San Diego and loses 0.
  San Francisco wins the series 13 games to 0

Arizona wins 65 games agains teams outside the division and loses 21.
Colorado wins 60 games agains teams outside the division and loses 34.
Los Angeles wins 88 games agains teams outside the division and loses 0.
San Diego wins 58 games agains teams outside the division and loses 30.
San Francisco wins 85 games agains teams outside the division and loses 0.

Combining the current standings with the wins and losses from the scenario results in the final standings listed above.
# San Francisco Giants' magic number
# San Francisco's magic number
# Giants' magic number
# MLB Playoff Race