Question

(a, b) =2, (b, 4)=2 Then (a plas b ,4)​

Answer 1

Answer:

3 is the answer of this question

Answer 2

Answer:

here u go....

Step-by-step explanation:

I'm almost embarrassed to be asking about a problem such as this one (exercise 12 in Niven 1.2), but here goes:

Given (a,4)=(b,4)=2, show that (a+b,4)=4.

I have plenty of tricks for working with gcds multiplicatively, however I have honestly no idea how to attack this problem. I sort of halfheartedly tried using Bezout's identity, writing ax0+4y0=2 and bx1+4y1=2. Adding the equations gives

ax0+bx1+4(y0+y1)=4

and hence if I were able to use that x0=x1 I'd