Question

calcule o mdc pelo processo da decomposição em fatores primos a)24 e 32 b) 18 e 15 c) 18, 60 e 24 d) 180, 36 e 120 e) 12 e 15 f) 7 e 18

Answer 1

a) 24 e 32:

24,32: 2
12,16: 2
6,8: 2
3,4: 2
3,2: 2
3,1: 3
------------
1,1  =  2.2.2 = 8

Resp: 8

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b) 18 e 15

18,15: 2
9,15: 3
3,5: 3
1,5: 5
-----------------
1,1  =  3

Resp.: 3
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c) 18, 60 e 24

18,60,24: 2
9,30,12: 2
9,15,6: 2
3,15,3: 3
1,5,1: 5
---------------
1,1,1   =    2.3 =  6     

Resp.: 6

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d) 180, 36 e 120

180,36,120: 2
90,18,60: 2
45,9,30: 2
45,9,15: 3
15,3,5: 3
5,1,5: 5
--------------------
1,1,1   =   2.2.3 = 4.3 = 12

Resp.: 12
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e) 12 e 15

12,15: 2
6,15: 2
3,15: 3
1,5: 5
-------------
1,1   =   3

Resp.: 3

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f) 7 e 18

7,18: 2
7,9: 3
7,3: 3
7,1: 7
-----------
1,1  =   1

Resp.: 1