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SarahMarya
@SarahMarya
August 2022
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Calcule pela decomposição em fatores primos:
a)MDC (18,34)
b)MDC(30,45)
c)MDC(48,76)
d)MDC(64,98,120)
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PauloLuis
MDC(18, 34) = 2
MDC(30, 45) = 3 . 5 = 15
MDC(48, 76) = 22 = 4
MDC(64, 98, 120) = 2
8 votes
Thanks 8
lifeltrin
A) 18 | 2
9 | 3
3 | 3
1
34 | 2
17 | 17
1
18 =
2
.3.3
34 =
2
.17
mdc(18,34) = 2
_________________
b) 30 | 2
15 | 3
5 | 5
1
45 | 3
15 | 3
5 | 5
1
30 = 2.
3
.
5
45 =
3
.3.
5
mdc(30,45) = 3*5 = 15
___________________
c) 48 | 2
24 | 2
12 | 2
6 | 2
3 | 3
1
76 | 2
38 | 2
19 | 19
1
48 =
2
.
2
.2.2.3
76 =
2
.
2
.19
mdc(48, 76) = 2*2 = 4
____________________
d) 64 | 2
32 | 2
16 | 2
8 | 2
4 | 2
2 | 2
1
98 | 2
49 | 7
7 | 7
1
120 | 2
60 | 2
30 | 2
15 | 3
5 | 5
1
32 =
2
.2.2.2.2
98 =
2
.7.7
120 =
2
.2.2.3.5
mdc(32,98,120) = 2
10 votes
Thanks 21
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Lista de comentários
MDC(30, 45) = 3 . 5 = 15
MDC(48, 76) = 22 = 4
MDC(64, 98, 120) = 2
9 | 3
3 | 3
1
34 | 2
17 | 17
1
18 = 2.3.3
34 = 2.17
mdc(18,34) = 2
_________________
b) 30 | 2
15 | 3
5 | 5
1
45 | 3
15 | 3
5 | 5
1
30 = 2.3.5
45 = 3.3.5
mdc(30,45) = 3*5 = 15
___________________
c) 48 | 2
24 | 2
12 | 2
6 | 2
3 | 3
1
76 | 2
38 | 2
19 | 19
1
48 = 2.2.2.2.3
76 = 2.2.19
mdc(48, 76) = 2*2 = 4
____________________
d) 64 | 2
32 | 2
16 | 2
8 | 2
4 | 2
2 | 2
1
98 | 2
49 | 7
7 | 7
1
120 | 2
60 | 2
30 | 2
15 | 3
5 | 5
1
32 = 2.2.2.2.2
98 = 2.7.7
120 = 2.2.2.3.5
mdc(32,98,120) = 2