Question

Aflati c.m.m.d.c si c.m.m.m.c al 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: 
24:2
12:2
6:2
3:3
1

$2400=2^{5}*3*5^{2}$

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 =$2^{6} *3^{2}*5^{2} =64*9*25=14400$