Question

Determinati raportul dintre (x;y) si [x;y] daca:
a) x=12 si y=18;
b)x=20 si y=24
c)x=45 si y=60

Answer 1

a) 12=$2^{2} *3$
    18=$2* 3^{2}$
(12;18)=2*3=6
[12;18]=$2^{2} * 3^{2}$=36
6/36=1/6
b) 20=$2^{2} *5$
    24= $2^{3} *3$
(20;24)=$2^{2}$=4
[20;24]=$2^{3} *3*5$=120
4/120 = 1/30
c) 45=$3^{2} *5$
    60=$2^{2} *3*5$
(45;60)=3*5=15
[45;60]=$2^{2}* 3^{2} *5$=180
15/180=1/12