Question

Calculați c.m.m.d.c.şi c.m.m.m.c.al numerelor:a)48şi144 b)231şi693 c)1890şi2268 d)372,360şi900. va rog

Answer 1

Sper ca te-am ajutat!........

Answer 2

a) 48 si 144
48=2⁴•3
144=2⁴•3²
—————
(48;144)=2⁴•3=48
[48;144]=2⁴•3²=144

b) 231 si 693
231=3•7•11
693=3²•7•11
——————
(231;693)=3•7•11=231
[231;693]=3²•7•11=693

c) 1890 si 2268
1890=2•3³•5•7
2268=2²•3⁴•7
———————
(1890;2268)=2•3³•7=2•27•7=378
[1890;2268]=2²•3⁴•5•7=4•81•5•7=11340

d) 372,360 si 900
372=2²•3•31
360=2³•3²•5
900=2²•3²•5²
———————
(372;360;900)=2²•3=4•3=12
[372;360;900]=2³•3²•5²•31=8•9•25•31=55800