Getallestelsels: TGK#1

Bepaal die KGV van die volgende getalle pare

a) 36 en 48
b) 25 en 14
c) 12, 33 en 66

a)
$table attributes columnalign right center left columnspacing 0px end attributes row 36 equals cell 2 cross times 2 cross times 3 cross times 3 end cell row 48 equals cell 2 cross times 2 cross times 2 cross times 2 cross times 3 end cell row cell G G D left parenthesis 36 semicolon 48 right parenthesis end cell equals cell 2 cross times 2 cross times 3 equals 12 end cell row cell K G V left parenthesis 36 semicolon 48 right parenthesis end cell equals cell G G D cross times d i e space r e s end cell row blank equals cell 12 cross times open parentheses 3 cross times 2 cross times 2 close parentheses end cell row blank equals 144 end table$

b)
$table attributes columnalign right center left columnspacing 0px end attributes row 25 equals cell 5 cross times 5 end cell row 14 equals cell 2 cross times 7 end cell row cell G G D left parenthesis 25 semicolon 14 right parenthesis end cell equals 1 row cell K G V end cell equals cell G G D cross times a l space d i e space r e s end cell row blank equals cell 1 cross times open parentheses 5 cross times 5 cross times 2 cross times 7 close parentheses end cell row blank equals 350 end table$

c)
$table attributes columnalign right center left columnspacing 0px end attributes row 12 equals cell 2 cross times 2 cross times 3 end cell row 33 equals cell 3 cross times 11 end cell row 66 equals cell 2 cross times 3 cross times 11 end cell row cell G G D left parenthesis 12 semicolon 33 right parenthesis end cell equals 3 row cell K G V end cell equals cell G G D cross times a l space d i e space r e s end cell row blank equals cell 3 cross times open parentheses 2 cross times 11 cross times 2 close parentheses end cell row blank equals 132 row blank blank blank row 12 equals cell 2 cross times 2 cross times up diagonal strike 3 end cell row 33 equals cell up diagonal strike 3 cross times 11 end cell row 66 equals cell 2 cross times up diagonal strike 3 cross times 11 end cell end table$