Question

Aflati cel mai mare nr natural care divide nr:a)272;816;488 b)156;780;132 c)108;972;1152; d)810;916;101
e)441;961;1296
Ofer coronita!!!!

Answer 1

a) 272=$2^{4}$*17
    816=$2^{4}$*3*17
    488= $2^{3}$*61
c.m.m.d.c= $2^{3}$ = 8
b) 156= $2^{2}$*3*13
   780= $2^{2}$*3*5*13
   132= $2^{2}$*3*11
  c.m.m.d.c= $2^{2}$*3=12
c) 108=$2^{2} * 3^{3}$
    972=$2^{2} * 3^{5}$
   1152=$2^{7} * 3^{2}$
c.m.m.d.c=$2^{2} * 3^{2}$=4*9=36
d) 810 = $3^{4} *2*5$
    916 = $2^{2}$*229
    101 = nr prim
c.m.m.d.c= 1
e) 441=$3^{2} * 7^{2}$
   961=$31^{2}$
   1296 =$2^{4} * 3^{4}$
c.m.m.d.c=1