225 : i = x rest 5
267 : i = y rest 7
288 : i = z rest 8
=> ix = 225 - 5 = 220
=> iy = 267 - 7 = 260
=> iz = 288 - 8 = 280
220 = 2^2 × 5 × 11
260 = 2^2 × 5 × 13
280 = 2^3 × 5 × 7
________________
cmmdc = 2^2 × 5 = 20
impartitorul = 20
_____________
225 : 20 = 11 rest 5
267 : 20 = 13 rest 7
288 : 20 = 14 rest 8
