Question

Dau coroana ,cu rezolvare va rog ..
aflati c.m.m.dc al urmatoarelor perechi de numere :
a)184 ;144 ;84
b)28 ;21
c)77;121
d)150;120
e)18,24,28
f)15;39;42
g)16;36;18
h)2²·3²·5² si 3·5³

Answer 1

a)184=$2^{3}$x23
  144=$2^{4}$x$3^{2}$
  84=$2^{2}$x3x7
(184,144,84)=$2^{2}$=4
b)28=$2^{2}$x7
  21=3x7
(28,21)=7
c)77=7x11
121=$11^{2}$
(77,121)=11
d)150=2x5x$3^{2}$
120=$2^{3}$x5x3
(150,120)=2x5x3=10x3=30
e)18=2x$3^{2}$
  24=$2^{3}$x3
  28=$2^{2}$x7
(18,24,28)=2
f)15=3x5
  39=3x13
  42=2x3x7
(15,39,42)=3
g)16=$2^{4}$
  36=$2^{2}$x$3^{2}$
18=2x$3^{2}$
(16,36,18)=2
h)$2^{2}$x$3^{2}$x$5^{2}$=36x25=900
3x$5^{3}$=3x125=375
900=$2^{2}$x$5^{2}$x$3^{2}$
375=$5^{3}$x3
(900,375)=$5^{2}$x3=25x3=75

Sper ca te-am ajutat!!!!