There are 33 forwards and 80 guards in Leo's basketball league. Leo must include all players on a team and wants each team to have the same number of forwards and the same number of guards.
If Leo creates the greatest number of teams possible, how many guards will be on each team?

You are first of all looking for the LCM of 32 and 80

Don't know which algorithm you learned , but here is one of them:

32 = 2*2*2*2*2

80 = 2*2*2*2*5

So you will need 2*2*2*2*2*5 = 160

160/32 = 5 < forwards

160/80 = 2 < guards

80/5 = 16

32/2 = 16

So they can form 16 teams, with each team having 2 guards and 5 forwards.

Check: all players are used, each team contains the same number and

combination of players.

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: