Matemática, perguntado por jonyaleixo23, 1 ano atrás

mdc (16,12) mdc (20,24) mdc (25,15) mdc(28,20) mdc (30,50) mdc 14,35 mdc (48,60,144) mdc(12,28,72) mdc (21,63,105) mdc (75,100,150)

Pfvr​

Soluções para a tarefa

Respondido por valterbl
53

Oi.....

MDC são fatores comuns de menores expoentes.

O MDC de:

a) (16, 12)

16, 12 | 2

8, 6 | 2

4, 3 | 2

2, 3 | 2

1, 3 | 3

1, 1

MDC = 2 . 2 = 4

MDC = 4

b) (20, 24)

20, 24 | 2

10, 12 | 2

5, 6 | 2

5, 3 | 3

5, 1 | 5

1, 1

MDC = 2 . 2 = 4

MDC = 4

c) (25, 15)

25, 15 | 3

25, 5 | 5

5, 1 | 5

1, 1

MDC = 5

d) (28, 20)

28, 20 | 2

14, 10 | 2

7, 5 | 5

7, 1 | 7

1, 1

MDC = 2 . 2 = 4

MDC = 4

e) (30, 50)

30, 50 | 2

15, 25 | 3

5, 25 | 5

1, 5 | 5

1, 1

MDC = 2 . 5 = 10

MDC = 10

f) (14, 35)

14, 35 | 2

7, 35 | 5

7, 7 | 7

1, 1

MDC = 7

g) (48, 60, 144)

48, 60, 144 | 2

24, 30, 72 | 2

12, 15, 36 | 2

6, 15, 18 | 2

3, 15, 9 | 3

1, 5, 3 | 3

1, 5, 1 | 5

1, 1, 1

MDC = 2 . 2 . 3 = 12

MDC = 12

h) (12, 28, 72)

12, 28, 72 | 2

6, 14, 36 | 2

3, 7, 18 | 2

3, 7, 9 | 3

1, 7, 3 | 3

1, 7, 1 | 7

1, 1, 1

MDC = 2 . 2 = 4

MDC = 4

i) (21, 63, 105)

21, 63, 105 | 3

7, 21, 35 | 3

7, 7, 35 | 5

7, 7, 7 | 7

1, 1, 1

MDC = 3 . 7 = 21

MDC = 21

j) (75, 100, 150)

75, 100, 150 | 2

75, 50, 75 | 2

75, 25, 75 | 3

25, 25, 25 | 5

5, 5, 5 | 5

1, 1, 1

MDC = 5 . 5 = 25

MDC = 25

Boas lições.

Respondido por ronaldocr2007
6

Resposta:

mdc (16,12) = 4

mdc (20,24) = 4

mdc (25,15) = 5

mdc(28,20) = 4

mdc (30,50) = 10

mdc (14,35) = 7

mdc (48,60,144) = 12

mdc(12,28,72) = 4

mdc (21,63,105) = 21

mdc (75,100,150) = 25

Perguntas interessantes