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MÁXIMO COMÚN DIVISOR
mcd
MARÍA PIZARRO ARAGONÉS
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DIVISORES COMUNES
div (12) = {1,2,3,4,6,12}
div (18) = {1,2,3,6,9,18}
Divisores comunes : { 1,2,3,6}
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MÁXIMO COMÚN DIVISOR
mcd
Es el MAYOR de los divisores comunes.
{ 1,2,3,6}
En este caso es 6
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FORMA PRÁCTICA PARA CALCULAR EL mcd
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30 : 2
15 :35 :51
20 :210 :25 :51
mcd entre 20 y 30 Se divide sólo por Números PRIMOS
30 = 2•3•5 20 = 2•2•5 = 2²• 5
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30 = 2•3•5
20 = 2•2•5 = 2²• 5
mcd es el producto de los números que se repiten el de menor exponente 2• 5 = 10
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Calcular el mcd entre 14 y 25
NO EXISTE
14 y 25 se llaman primos entre sí o primos relativos.
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24 : 212 : 26 : 23 : 31
36
:2
18
: 2
9 : 33 : 31
mcd entre 24 y 36
24 = 2³•3 36 = 2²•3
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mcd entre 24 y 36
24 = 2³•3 36 = 2²•3 mcd 2²•3 = 4•3 = 12
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mcd entre 34 y 51 34
: 2
17
: 17
1
51 : 3 17 : 17 1
34 = 2•17 51 = 3•17 mcd : 17
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mcd entre 40, 60, 100
40 : 2
20 : 2
10 : 2
5 : 5
1
60 : 2
30 : 2
15 : 3
5 : 5
1
100
: 2
50 : 2
25 : 5
5 : 5
140 = 2³• 5 60 = 2²• 3• 5 100 = 2²• 5²
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mcd entre 40, 60, 100
40 = 2³• 5 60 = 2²• 3• 5 100 = 2²• 5²
mcd = 2²• 5 = 4 • 5 = 20 mcd = 20
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El mcd sirve , entre otras cosas, para simplificar fracciones, razones, obtener el factor común.
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FIN
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