a)
48 | 2
24 | 2
12 | 2
6 | 2
3 | 3
1
60 | 2
30 | 2
15 | 3
5 | 5
1
48 = 2⁴ x 3
60 = 2² x 3 x 5
c.m.m.d.c (48;60) = 2² x 3 = 12
Explicatie! ➪ se aleg factorii comuni la cele mai mici puteri a ambelor numere
c.m.m.c [48;60] = 2⁴ x 3 x 5 = 240
Explicatie! ➪ se aleg factorii comuni si necomuni scrise o singura data la cele mai mari puteri
b)
12 | 2
6 | 2
3 | 3
1
15 | 3
5 | 5
1
18 | 3
6 | 3
2 | 2
1
12 = 2² x 3
15 = 3 x 5
18 = 3² x 2
c.m.d.c (12;15;18) = 3
c.m.m.c [12;15;18] = 3² x 2² x 5 = 180
