Question

Calcule:
a) m.d.c. ( 12, 18)
b) m.d.c. ( 24, 40)
c) m.d.c. ( 15, 30)
d) m.d.c. ( 24, 36, 60)

Answer 1

letra a

m.d.c
12,18/2
6,9/2
3,9/3
1,3/3
1,1

2*3=6,o m.d.c de 12,18 e 6.

letra b

m.d.c
24,40/2
12,20/2
6,10/2
3,5/3
1,5/5
1,1

2*2*2=8,o m.d.c de 24,40 e 8.


letra c

m.d.c
15,30/2
15,15/3
5,5/5
1,1

3*5=15,o m.d.c de 15,30 e 15.

letra d

m.d.c
24,36,60/2
12,18,30/2
6,9,15/2
3,9,15/3
1,3,5/3
1,1,5/5
1,1,1

2*2*3=12,o m.d.c de 24,36,60 e 12.

Answer 2

Máximo Divisor Comum: divide todos os números ao mesmo tempo:

a)
12,18: 2
6,9: 2
3,9: 3
1,3: 3
-----------
1,1    =  2.3 = 6


R.: mdc (12,18) = 6
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
b)
R.: m.d.c. ( 24, 40) = 8

24,40: 2
12,20: 2
6,10: 2
3,5: 3
1,5: 5
------------------
1,1 =  2.2.2 = 2³ = 8

c)

m.d.c. ( 15, 30)

15,30: 2
15,15: 3
5,5: 5
--------------
1,1     = 3.5 = 15

Resp.: mdc (15,30) = 15
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨

d)
m.d.c. ( 24, 36, 60)

24,36,60: 2
12,18,30: 2
6,9,15: 2
3,9,15: 3
1,3,5: 3
1,1,5: 5
---------------
1,1,1     = 2.2.3 = 4.3 = 12

Resp.:mdc = 12
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨