Question

46) determine: a) mdc( 36,60 ) b) mdc( 45,12 ) c) mdc( 28,70 ) d) mdc( 27,45 ) e) mdc( 40,52 ) f) mdc( 99,165 )

Answer 1

a) mdc( 36,60 )
36 60 | 2*
18 30 | 2*
09 15 | 3*
03 05 | 3
01 05 | 5
01  01| -

2² . 3 = 24

S = {24}

b) mdc( 45,12 )
45 12 | 2
45 06 | 2
45 03 | 5
09 03 | 3*
03 01 | 3
01 01 | -

S = {3}

c) mdc( 28,70 )
28 70 | 2*
14 35 | 2
07 35 | 5
07 07 | 7*
01 01 | -

2.7 = 14

S = {14}

d) mdc( 27,45 )
27 45 | 3*
09 15 | 3*
03 05 | 3
01 05 | 5
01 01 | -
3.5 = 15

S ={15}

e) mdc( 40,52 )
40 52 | 2*
20 26 | 2*
10 13 | 2
05 13 | 5
01 13 | 13
01 01 | -

2.2 = 4

S ={4}

f) mdc( 99,165 )
99 165 | 3*
33 055 | 3
11 055 | 5
11 011 | 11*
01 001 | -

3.11 = 33
S ={33}

=)

Answer 2

Resposta:

a) mdc( 36,60 )

36 60 | 2*

18 30 | 2*

09 15 | 3*

03 05 | 3

01 05 | 5

01  01| -

2² . 3 = 24

S = {24}

b) mdc( 45,12 )

45 12 | 2

45 06 | 2

45 03 | 5

09 03 | 3*

03 01 | 3

01 01 | -

S = {3}

c) mdc( 28,70 )

28 70 | 2*

14 35 | 2

07 35 | 5

07 07 | 7*

01 01 | -

2.7 = 14

S = {14}

d) mdc( 27,45 )

27 45 | 3*

09 15 | 3*

03 05 | 3

01 05 | 5

01 01 | -

3.5 = 15

S ={15}

e) mdc( 40,52 )

40 52 | 2*

20 26 | 2*

10 13 | 2

05 13 | 5

01 13 | 13

01 01 | -

2.2 = 4

S ={4}

f) mdc( 99,165 )

99 165 | 3*

33 055 | 3

11 055 | 5

11 011 | 11*

01 001 | -

3.11 = 33

S ={33}

=)

Explicação passo a passo: