# Strona:A. Baranowski - O wzorach.pdf/19

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 ${\displaystyle \varphi (\,\,\,93,\,\,\,6)=\varphi (\,\,\,93,\,\,\,5)-\varphi (\,\,\,\,\,\,7,5)=\,\,\,20-\,\,\,\,\,\,1=\,\,\,19}$  ${\displaystyle \varphi (\,\,\,93,\,\,\,5)=\varphi (\,\,\,93,\,\,\,4)-\varphi (\,\,\,\,\,\,8,4)=\,\,\,21-\,\,\,\,\,\,1=\,\,\,20}$  ${\displaystyle \varphi (\,\,\,93,\,\,\,4)=\varphi (\,\,\,93,\,\,\,3)-\varphi (\,\,\,13,3)=\,\,\,25-\,\,\,\,\,\,4=\,\,\,21}$  ${\displaystyle \varphi (\,\,\,93,\,\,\,3)=\varphi (\,\,\,93,\,\,\,2)-\varphi (\,\,\,18,2)=\,\,\,31-\,\,\,\,\,\,6=\,\,\,25}$  ${\displaystyle \varphi (\,\,\,93,\,\,\,2)=\varphi (\,\,\,93,\,\,\,1)-\varphi (\,\,\,31,1)=\,\,\,47-\,\,\,16=\,\,\,31}$  ${\displaystyle \varphi (\,\,\,18,\,\,\,2)=\varphi (18,\,\,\,1)-\varphi (6,1)=\,\,\,\,\,\,9-\,\,\,\,\,\,3}$ ${\displaystyle =}$ ${\displaystyle \,\,\,\,\,\,6}$ ${\displaystyle \varphi (\,\,\,13,\,\,\,3)=\varphi (13,\,\,\,2)-\varphi (2,2)=\,\,\,\,\,\,5-\,\,\,\,\,\,1}$  ${\displaystyle \varphi (\,\,\,13,\,\,\,2)=\varphi (13,\,\,\,1)-\varphi (4,1)=\,\,\,\,\,\,7-\,\,\,\,\,\,2}$ ${\displaystyle =}$ ${\displaystyle =}$ ${\displaystyle \,\,\,\,\,\,4}$ ${\displaystyle \,\,\,\,\,\,5}$ ${\displaystyle \varphi (\,\,\,87,10)=\varphi (\,\,\,87,\,\,\,9)-\varphi (\,\,\,3,\,\,\,9)=\,\,\,15-\,\,\,\,\,\,1=\,\,\,14}$  ${\displaystyle \varphi (\,\,\,87,\,\,\,9)=\varphi (\,\,\,87,\,\,\,8)-\varphi (\,\,\,3,\,\,\,8)=\,\,\,16-\,\,\,\,\,\,1=\,\,\,15}$  ${\displaystyle \varphi (\,\,\,87,\,\,\,8)=\varphi (\,\,\,87,\,\,\,7)-\varphi (\,\,\,4,\,\,\,7)=\,\,\,17-\,\,\,\,\,\,1=\,\,\,16}$  ${\displaystyle \varphi (\,\,\,87,\,\,\,7)=\varphi (\,\,\,87,\,\,\,6)-\varphi (\,\,\,5,\,\,\,6)=\,\,\,18-\,\,\,\,\,\,1=\,\,\,17}$  ${\displaystyle \varphi (\,\,\,87,\,\,\,6)=\varphi (\,\,\,87,\,\,\,5)-\varphi (\,\,\,6,\,\,\,5)=\,\,\,19-\,\,\,\,\,\,1=\,\,\,18}$  ${\displaystyle \varphi (\,\,\,87,\,\,\,5)=\varphi (\,\,\,87,\,\,\,4)-\varphi (\,\,\,7,\,\,\,4)=\,\,\,20-\,\,\,\,\,\,1=\,\,\,19}$  ${\displaystyle \varphi (\,\,\,87,\,\,\,4)=\varphi (\,\,\,87,\,\,\,3)-\varphi (12,\,\,\,3)=\,\,\,23-\,\,\,\,\,\,3=\,\,\,20}$  ${\displaystyle \varphi (\,\,\,87,\,\,\,3)=\varphi (\,\,\,87,\,\,\,2)-\varphi (17,\,\,\,2)=\,\,\,29-\,\,\,\,\,\,6=\,\,\,23}$  ${\displaystyle \varphi (\,\,\,87,\,\,\,2)=\varphi (\,\,\,87,\,\,\,1)-\varphi (29,\,\,\,1)=\,\,\,44-\,\,\,15=\,\,\,29}$  ${\displaystyle \varphi (\,\,\,17,\,\,\,2)=\varphi (17,\,\,\,1)-\varphi (5,1)=\,\,\,\,\,\,9-\,\,\,\,\,\,3}$ ${\displaystyle =}$ ${\displaystyle \,\,\,\,\,\,6}$ ${\displaystyle \varphi (\,\,\,12,\,\,\,3)=\varphi (12,\,\,\,2)-\varphi (2,2)=\,\,\,\,\,\,4-\,\,\,\,\,\,1}$  ${\displaystyle \varphi (\,\,\,12,\,\,\,2)=\varphi (12,\,\,\,1)-\varphi (4,1)=\,\,\,\,\,\,6-\,\,\,\,\,\,2}$ ${\displaystyle =}$ ${\displaystyle =}$ ${\displaystyle \,\,\,\,\,\,3}$ ${\displaystyle \,\,\,\,\,\,4}$ ${\displaystyle \varphi (2439,12)=\varphi (2439,11)-\varphi (\,\,\,65,11)=\,\,\,367-\,\,\,\,\,\,8}$  ${\displaystyle \varphi (2439,11)=\varphi (2439,10)-\varphi (\,\,\,78,10)=\,\,\,379-\,\,\,12}$  ${\displaystyle \varphi (2439,10)=\varphi (2439,\,\,\,9)-\varphi (\,\,\,84,\,\,\,9)=\,\,\,394-\,\,\,15}$  ${\displaystyle \varphi (2439,\,\,\,9)=\varphi (2439,\,\,\,8)-\varphi (106,\,\,\,8)=\,\,\,414-\,\,\,20}$  ${\displaystyle \varphi (2439,\,\,\,8)=\varphi (2439,\,\,\,7)-\varphi (128,\,\,\,7)=\,\,\,439-\,\,\,25}$  ${\displaystyle \varphi (2439,\,\,\,7)=\varphi (2439,\,\,\,6)-\varphi (143,\,\,\,6)=\,\,\,468-\,\,\,29}$  ${\displaystyle \varphi (2439,\,\,\,6)=\varphi (2439,\,\,\,5)-\varphi (187,\,\,\,5)=\,\,\,507-\,\,\,39}$  ${\displaystyle \varphi (2439,\,\,\,5)=\varphi (2439,\,\,\,4)-\varphi (221,\,\,\,4)=\,\,\,557-\,\,\,50}$  ${\displaystyle \varphi (2439,\,\,\,4)=\varphi (2439,\,\,\,3)-\varphi (348,\,\,\,3)=\,\,\,650-\,\,\,93}$  ${\displaystyle \varphi (2439,\,\,\,3)=\varphi (2439,\,\,\,2)-\varphi (487,\,\,\,2)=\,\,\,813-163}$  ${\displaystyle \varphi (2439,\,\,\,2)=\varphi (2439,\,\,\,1)-\varphi (813,\,\,\,1)=1220-407}$  ${\displaystyle \varphi (487,\,\,\,2)=\varphi (487,\,\,\,1)-\varphi (162,1)=244-\,\,\,81}$ ${\displaystyle =}$ ${\displaystyle =}$ ${\displaystyle =}$ ${\displaystyle =}$ ${\displaystyle =}$ ${\displaystyle =}$ ${\displaystyle =}$ ${\displaystyle =}$ ${\displaystyle =}$ ${\displaystyle =}$ ${\displaystyle =}$ ${\displaystyle =}$ ${\displaystyle 359}$ ${\displaystyle 367}$ ${\displaystyle 379}$ ${\displaystyle 394}$ ${\displaystyle 414}$ ${\displaystyle 439}$ ${\displaystyle 468}$ ${\displaystyle 507}$ ${\displaystyle 557}$ ${\displaystyle 650}$ ${\displaystyle 813}$ ${\displaystyle 163}$ ${\displaystyle \varphi (\,\,\,348,\,\,\,3)=\varphi (348,\,\,\,2)-\varphi (\,\,\,69,2)=116-\,\,\,23}$  ${\displaystyle \varphi (\,\,\,348,\,\,\,2)=\varphi (348,\,\,\,1)-\varphi (116,1)=174-\,\,\,58}$  ${\displaystyle \varphi (69,\,\,\,2)=\varphi (69,\,\,\,1)-\varphi (\,\,\,23,1)=\,\,\,35-\,\,\,12}$ ${\displaystyle =}$ ${\displaystyle =}$ ${\displaystyle =}$ ${\displaystyle \,\,\,93}$ ${\displaystyle 116}$ ${\displaystyle \,\,\,23}$