Salut!
[tex]\text{$(a, b)$ inseamna c.m.m.d.c., adica cel mai mare divizor comun.}\\\text{$[a, b]$ inseamna c.m.m.m.c., adica cel mai mic multiplu comun.}[/tex]
Pentru a efectua c.m.m.d.c. si c.m.m.m.c., trebuie sa descompunem termenii a si b in numere prime:
a = 120 = 2³ × 3 × 5
b = 130 = 2 × 5² × 3
[tex]\Rightarrow\text{$(a,b)=(120,130)=2\cdot5=10$}\\\Rightarrow\text{$[a,b]=[120,130]=2^3\cdot3\cdot5\cdot13=1560$}\\\\\Rightarrow(a,b)[a,b]=10\cdot1560=15600\\\\a\cdot b=120\cdot 130 = 15600\\\\\Rightarrow 15600 = 15600 \Rightarrow (a,b)[a,b]=ab[/tex]
-Luke48
