GENTE ME AJUDA PFV È PRA HOJE.
1- Determine, pela decomposição em fatores primos, o m.m.c. de:
A) 18, 27, 45.
B) 18, 30, 48.
C) 20, 40, 50, 200.
2- Calcule o que se pede.
A) m.d.c. (180, 150)
B) m.d.c. (231, 825)
C) m.d.c. (340, 728)
Soluções para a tarefa
A)
18, 27, 45 | 2
9, 27, 45 | 3
3, 9, 15 | 3
1, 3, 5 | 3
1, 1, 5 | 5
1, 1, 1
m.m.c >> 2 × 3³ × 5= 270
B)
18, 30, 48 | 2
9, 15, 24 | 2
9, 15, 12 | 2
9, 15, 6 | 2
9, 15, 3 | 3
3, 5, 1 | 3
1, 5, 1 | 5
1, 1, 1
m.m.c >> 2⁴ × 3² × 5= 720
C)
20, 40, 50, 200 | 2
10, 20, 25, 100 | 2
5, 10, 25, 50 | 2
5, 5, 25, 25 | 5
1, 1, 5, 5 | 5
1, 1, 1, 1
m.m.c >> 2³ × 5²= 200
________________________
A)
180, 150 | 2 ✓
90, 75 | 2
45, 75 | 3 ✓
15, 25 | 3
5, 25 | 5 ✓
1, 5 | 5
1, 1
m.d.c >> 2 × 3 × 5= 30
B)
231, 825 | 3 ✓
77, 275 | 5
77, 55 | 5
77, 11 | 7
11, 11 | 11 ✓
1, 1
m.d.c >> 3 × 11= 33
C)
340, 728 | 2 ✓
170, 364 | 2 ✓
85, 182 | 2
85, 91 | 5
17, 91 | 7
17, 13 | 13
17, 1 | 17
1, 1
m.d.c >> 2 × 2= 4