47 : n = x r 2
53 : n = y r 3
64 : n = z r 4
n × x = 47 - 2 => n × x = 45
n × y = 53 - 3 => n × y = 50
n × z = 64 - 4 => n × z = 60
45 = 3^2 × 5
50 = 2 × 5^2
60 = 2^2 × 3 × 5
_____________
cmmdc[45, 50, 60] = 5
5 este numarul cautat
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47 : 5 = 9 rest 2
53 : 5 = 10 rest 3
64 : 5 = 12 rest 4
