6. Determine o m.d.c. dos números: a) 112 e 70 b) 90 e 225 c) 504 e 588 d) 39, 65 e 91 e) 144, 216 e 288
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Resolução!
A ) MDC ( 112 , 70 )
112 , 70 / 2__
56 , 35 / 2
28 , 35 / 2
14 , 35 / 2
7 , 35 / 5
7 , 7 / 7__
1 , 1
MDC => 2 × 7 = 14
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B ) MDC ( 90 , 225 )
90 , 225 / 2
45 , 225 / 3__
15 , 75 / 3__
5 , 25 / 5__
1 , 5 / 5
1 , 1
MDC => 3 × 3 × 5 = 45
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C ) MDC ( 504 , 588 )
504 , 588 / 2__
252 , 294 / 2 __
126 , 147 / 2
63 , 147 / 3__
21 , 49 / 3
7 , 49 / 7__
1 , 7 / 7
1 , 1
MDC => 2 × 2 × 3 × 7 = 84
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D ) MDC ( 39 , 65 , 91 )
39 , 65 , 91 / 3
13 , 65 , 91 / 5
13 , 13 , 91 = 7
13 , 13 , 13 / 13__
1 , 1 , 1
MDC = 13
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E ) MDC ( 144 , 216 , 288 )
144 , 216 , 288 / 2__
72 , 108 , 144 / 2__
36 , 54 , 72 / 2__
18 , 27 , 36 / 2
9 , 27 , 18 / 2
9 , 27 , 9 / 3__
3 , 9 , 3 / 3__
1 , 3 , 1 / 3
1 , 1 , 1
MDC => 2 × 2 × 2 × 3 × 3 = 72
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