Question

29 Utilizando a fatoração dos números dados, determine o
mdc de:

a) 144 e 90

c) 120,45 e 100

b) 98 e 105

d) 300,75 e 40​

Answer 1

a)

144, 90 | 2 ✓

72, 45 | 2

36, 45 | 2

18, 45 | 2

9, 45 | 3 ✓

3, 15 | 3 ✓

1, 5 | 5

1, 1

MDC>> 2 × 3 × 3= 18

b)

120, 45, 100 | 2

60, 45, 50 | 2

30, 45, 25 | 2

15, 45, 25 | 3

5, 15, 25 | 3

5, 5, 25 | 5 ✓

1, 1, 5 | 5

1 1, 1

MDC>> 5

c)

98, 105 | 2

49, 105 | 3

49, 35 | 5

49, 7 | 7 ✓

7, 1 | 7

1, 1

MDC>> 7

d)

300, 75, 40 | 2

150, 75, 20 | 2

75, 75, 10 | 2

75, 75, 5 | 3

25, 25, 5 | 5 ✓

5, 5, 1 | 5

1, 1, 1

MDC>> 5