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Find the largest number of equal teams that can be formed for football (132 players) and netball (108 players).

Mathematics

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Item 1:

a)

i) To find the largest number of equal teams that can be formed for each game, we need to find the largest common factor (GCD) of the number of players for football and netball, assuming teams should have the same number of players for both games for consistency in a tournament.
Number of football players = 132
Number of netball players = 108

Step 1: Find the prime factorization of each number.

132=2×66=2×2×33=22×3×11132 = 2 \times 66 = 2 \times 2 \times 33 = 2^2 \times 3 \times 11
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