Question

1.afla c.m.m.d.c si c.m.m.m.c pentru numerele:1)300;140
2)48;840
3)350;210;980

Answer 1

300 = 2² * 3 * 5²
140 = 2² * 5 * 7
Se iau toţi factorii primi comuni, la puterile cele mai mici.
cmmdc (300, 140) = 2² * 5 = 20
Se iau toţi factorii primi, la puterile cele mai mari.
cmmmc (300, 140) = 2² * 3 * 5² * 7 = 2 100


2.48 = 2⁴ * 3
  840 = 2³ * 3 * 5 * 7
cmmdc (48, 840) = 2³ * 3 = 24
cmmmc (48, 840) = 2⁴ * 3 * 5 * 7 = 1 680

3
350 =2 * 5² * 7
210 = 2 * 3 * 5 * 7
980 =2² * 5 * 7²
cmmdc (350, 210,980) = 2 * 5 * 7 = 70
cmmmc (350, 210,980) = 2² * 3 * 5² * 7² = 14 700