Răspuns:
n ∈ {2; 3; 4; 6; 8; 12; 16; 24; 48}
Explicație pas cu pas:
156 ÷ n = a rest 12 => 156 = an + 12
an = 144 => n = 144/a
253 ÷ n = b rest 13 => 253 = bn + 13
bn = 240 => n = 240/b
447 ÷ n = c rest 15 => 447 = cn + 15
cn = 432 => n = 432/c
[tex]n = \frac{144}{a} = \frac{240}{b} = \frac{432}{c} \\ \frac{3 \times 48}{a} = \frac{5 \times 48}{b} = \frac{9 \times 48}{c}[/tex]
=> n ∈ {2; 3; 4; 6; 8; 12; 16; 24; 48}
