Explicație pas cu pas:
descompunere în factori, c.m.m.d.c. și c.m.m.m.c.
a)
[tex]840 = {2}^{3}\cdot 3\cdot 5\cdot 7[/tex]
[tex]672 = {2}^{5}\cdot 3\cdot 7[/tex]
c.m.m.d.c. = 2³•3•7 = 168
c.m.m.m.c. = 2⁵•3•5•7 = 3360
b)
[tex]192 = {2}^{6}\cdot 3[/tex]
[tex]144 = {2}^{4}\cdot {3}^{2} [/tex]
c.m.m.d.c. = 2⁴•3 = 48
c.m.m.m.c. = 2⁶•3² = 576
c)
[tex]450 = 2 \cdot {3}^{2} \cdot {5}^{2}[/tex]
[tex]224 = {2}^{5}\cdot 7[/tex]
c.m.m.d.c. = 2¹ = 2
c.m.m.m.c. = 2⁵•3²•5²•7 = 50400
d)
[tex]675 = {3}^{3} \cdot {5}^{2}[/tex]
[tex]864 = {2}^{5} \cdot {3}^{3} [/tex]
c.m.m.d.c. = 3³ = 27
c.m.m.m.c. = 2⁵•3³•5² = 21600
