Notam numarul cautat cu (n).
92 : n = c1 rest 2
106 : n = c2 rest 6
308 : n = c3 rest 8
Rezulta:
(92 - 2) : n = c1
(106 - 6) : n = c2
(308 - 8) : n = c3
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90 : n = c1
100 : n = c2
300 : n = c3
⇒ n = cmmdc al numerelor (90; 100; 300)
Descompunem numerele in factori primi:
90 = 2 × 3² × 5
100 = 2^2 × 5²
300 =2^2 × 3 × 5²
cmmdc=2 × 5 = 10