Question

Calculati:
(18,24)=
(14,49)=
(9,16)=
(14,32,42)=
(216,300,4320=
(126,162,270)=
(7560,15336)=

Answer 1

a)18=2·3²
   24=2·3·3
  (18,24)=2·3=6

b)14=2·7
  49=7²
 (14,49)=7

c)9=3²
  16=2⁴
  (9,16)=1

d)14=2·7
   32=2⁵
   42=2·3·7
 (14,32,42)=2

e)216=2³·3³
  300=2²·3·5²
  4320=2⁵·3³·5
 (216,300,4320)=2²·3=12

f)126=2·3²·7
 162=2·3⁴
 270=2·3³·5
 (126,162,270)=2·3²=18

g)7560=2³·3³·5·7
  15336=2³·3³·71
  (7560,15336)=2³·3³=216