Question

If a is an even natural number such that a|208 and (a,b)=1, then find the value of b​

this is gauss theroeam

Answer 1

go On Socratic !!!!!!!!!!!!!!!!

Answer 2

b=13

Explanation:

2|208

2|104

2|52

2|26

|13

208=2^4×13=16×13

now (16,13)=1

as a is an even number so a=16

b=13

∵g.c.d of 16 and 13=1

or (16,13)=1