Question

Hallar el MCD delos siguiente pares de número aplicando el método divisiones sucesivas

24 y 368
72 y 240
700 y 120
1152 y 180

Answer 1

24 368 I 2
12 184 I 2
6 92 I 2
3 46 I 2
3 23 I3
1 23 I23
1 1

MCD = ( 2×2×2) = 8

72 240 I2
36 120 I2
18 60 I2
9 30 I2
9 15 I3
3 5 I3
1 5 I5
1 1

MCD = ( 2 × 2 ×2 ×3 ) = 24

700 120 I2
350 60 I2
175 30 I2
175 15 I3
175 5 I5
35 1 I5
7 1 I7
1 1

MCD = ( 2 × 2 × 5) = 20

1152 180 I2
576 90 I2
288 45 I2
144 45 I2
72 45 I2
36 45 I2
18 45 I2
9 45 I3
3 15 I3
1 5 I5
1 1

MCD = ( 2 × 2 × 3 ×3 ) =36

Answer 2

24 368 | 2
12 184 | 2
6 92 | 2
3 46 | 2
3 23 | 3
1 23 | 23
1 1 |
23 × 3 × 2 × 2 × 2 × 2 = 1104


72 240 | 2
36 120 | 2
18 60 | 2
9 30 | 2
9 15 | 3
3 5 | 3
1 5 | 5
1 1 |
5 × 3 × 3 × 2 × 2 × 2 × 2 = 720


700 120 | 2
350 60 | 2
175 30 | 2
175 15 | 3
175 5 | 5
35 1 | 5
7 1 | 7
1 1 |
7 × 5 × 5 × 3 × 2 × 2 × 2 = 4200


1152 180 | 2
576. 90 | 2
288 45 | 2
144 45 | 2
72 45 | 2
36 45 | 2
18 45 | 2
9 45 | 3
3 15 | 3
1 5 | 5
1 1 |
5 × 3 × 3 × 2 × 2 × 2 × 2 × 2 × 2 × 2 =5760