[tex]Fie \ x \ numarul \ necunoscut \\ \\ 348:x =c_1 \ r \ 12 \\ 790:x = c_2 \ r \ 6 \\ 1180:x= c_3 \ r \ 4 \\ \\ \Rightarrow \ 348=c_1*x+12 , \ 790=c_2*x+6, \ 1180= c_3*x+ 4 \\ \Rightarrow \ c_1*x = 336, \ c_2*x = 784, \ c_3*x = 1176 \\ \\ \\ \Rightarrow x ∈ \ D_336_,_784_,_1176, x \ fiind \ cel \ mai \ mare \ div. \ comun \ al \ celor \ 3 \ numere \ (cel \ mai \ mic \ impartitor \ ) \\ \\ 336 = 2^{4}*3*8 \\ 784 = 2^{4}*7^{2} \\ 1176 = 2^{3}*3*7^{2} \\ \\ \Rightarrow c.m.m.d.c.=x= 2^{3}*7= 8*7 = 56 \\ \\ x=56. [/tex]
