Question

Va rooog frumosssss !!!!!!!!!!
Impartind numerele 1880 si 1568 la un nr natural x, se obtine de fiecare data restul 8.
Aflati cel mai mare numar x.

Answer 1

1880:x=C₁ rest 8 => 1880=x*C₁+8 => 1872=x*C₁
1568:x=C₂ rest 8 => 1568=x*C₂+8 => 1560=x*C₂
D=Î*C+R

x=c.m.m.d.c. (cel mai mare divizor comun)

1880=2³ * 5 * 47
1568=2³ * 5 * 3 * 13

c.m.m.d.c.=2³ * 5=40

x ∈ D₄₀ ={1, 2, 4, 5, 8, 10, 20, 40}

x maxim=40

Answer 2

1880=x*c1+8=> x*c1=1872; 1568=x*c2+8=> x*c2=1560 cmmdc pt 1872 ai 1560 este8