determine o m.d.c dos numeros
a) 112e 70
b) 90 e 225
c) 504 e 588
d) 39,65e91
е) 144, 216 е 288
Soluções para a tarefa
Resposta:
Explicação passo-a-passo:
Máximo divisor comum:
Divide todos ao mesmo tempo.
a) mdc (112 e 70) = 14
112,70: 2 (*)
56,35: 2
28, 35: 2
14, 35: 2
7, 35: 5
7,7: 7 (*)
1,1
= 2.7
= 14
R.: 14
-----------
b) 90 e 225
90, 225: 2
45, 225: 3 (*)
15, 75: 3 (*)
5, 25 : 5 (*)
1, 5: 5
1,1
= 3.3.5
= 45
R.: 45
------------
c) 504 e 588
504, 588: 2 (*)
252, 294: 2 (*)
126, 147: 2
63, 147: 3 (*)
21, 49: 3
7, 49: 7 (*)
1,7: 7
-------
1,1
= 2.2.3.7
= 4.21
= 84
R.: 84
-------------
d)
39,65, 91 : 3
13, 65, 91: 5
13, 13, 91: 7
13,13, 13: 13 (*)
1,1,1
R.: 13
------------
е) 144, 216 е 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
= 2.2.2.3.3
= 8.9
= 72
R.: 72
a. 14
b. 45
c. 84
d. 13
e. 72
contas:
a. 112 e 70
112,70| 2
56,35| 2
28,35| 2
14,35| 2
7,35| 5
7,7| 7
1,1| 2.2.2.2.5.7
2.7
14
R. 14
-----------
b. 90 e 225
90,225| 2
45,225| 3
15,75| 3
5,25| 5
1,5| 5
1,1| 2.3.3.5.5
3.3.5
45
R: 45
------------
c. 504 e 588
504,588| 2
252,294| 2
126,147| 2
63,147| 3
21,49| 3
7,49| 7
1,7| 7
1,1| 2.2.2.3.3.7.7.
2.2.3.7
4.21
84
R: 84
-------------
d. 39,65 e 91
39,65,91| 3
13,65,91| 5
13,13,91| 7
13,13,13| 13
1,1,1| 3.5.7.13
R: 13
------------
е. 144,216 е 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| 2.2.2.2.2.3.3.3
2.2.2.3.3
8.9
72
R. 72
espero ter ajudado <3
vitoriatenilly8