Question

Mdc : 28 e 48?
Mdc: 26 e 28?
Mdc: 25 e 100?
Mdc :12 e 72?
Mdc: 7 e 16?
quem pude ajudar ae VLW

Answer 1

28,48|2>>>>> diividisse pelo menornumero primo

14,24|2>>>>>quantas vezes necessarias

7,12  |2

7,6   | 2

7,3   |3

7, 1 | 7

1,1>>>>agora mutiplicasse só os ptimos que dividiram os dois numerosno caso 2*2=4

ou seja o mdc de 28 e 48 e 4

                                              tente fazer os outros!!!!

                                                             Vlw

Answer 2

a) $\text{mdc}(48, 28)$.

 

$\text{mdc}(48, 28)=\text{mdc}(28, 48-28)=\text{mdc}(28, 20)=\text{mdc}(20, 28-20)=\text{mdc}(20, 8)$

 

$=\text{mdc}(8, 20-8)=\text{mdc}(8, 12)=\text{mdc}(8, 12-8)=\text{mdc}(8, 4)$

 

$=\text{mdc}(4, 8-4)=\text{mdc}(4, 4)=\text{mdc}(4, 4-4)=\text{mdc}(4, 0)=4$

 

 

b) $\text{mdc}(26, 28)$

 

$\text{mdc}(26, 28)=\text{mdc}(26, 28-26)=\text{mdc}(26, 2)=2$

 

 

c) $\text{mdc}(25, 100)$

 

$\text{mdc}(25, 100)=\text{mdc}(25, 100 - 25)=\text{mdc}(25, 75)=\text{mdc}(25, 75-25)$

 

$\text{mdc}(25, 50)=\text{mdc}(25, 50-25)=\text{mdc}(25, 25)=25$

 

 

d) $\text{mdc}(12, 72)$

 

$\text{mdc}(12, 72)=\text{mdc}(12, 72-12\times6)=\text{mdc}(12, 72-72)=\text{mdc}(12, 0)=12$

 

 

e) $\text{mdc}(7, 16)$

 

$\text{mdc}(7, 16)=\text{mdc}(7, 16-7\times2)=\text{mdc}(7, 16-14)=\text{mdc}(7,2)$

 

$=\text{mdc}(2, 7-2\times3)=\text{mdc}(2, 7-6)=\text{mdc}(2, 1)=1$