Question

Aflati c.m.m.d.c si c.m.m.m.c ai numerelor : 960,288 si 2400.

Answer 1

pentru a afla cmmdc si cmmmc se descompun numerele 

960:2
480:2
240:2
120:2
60:2
30:2
15:3
5:5
1 
 960= $2^{6}$ *3 *5

288:2
144:2
72:2
36:2
18:2
9:3
3:3
1
288= $2^{5}$ * $3^{2}$

2400: $2^{2} * 5^{2} (100)$
24:2
12:2
6:2
3:3
1

2400= $2^{5} * 5^{2} *3$

cmmdc (960,288,2400) - se iau elementele comune la puterea cea mai mica =$2^{5}$*3 =32 *3 = 96

cmmmc [960,288,2400] - se iau elementele comune si necomune la puterea cea mai mare =$2^{6} * 3^{2} * 5^{2}$ = efectuezi calculele