Răspuns :
daca (a;b)=35 inseamna ca a=35*x si b=35*y astfel ca (x;y)=1 ;
stiim ca (a;b)*[a;b]=a*b = 420*35=14700
↓
35²*x*y=14700
↓
x*y =14700:35² = 14700:1225=12
(x ; y) = { (1;12);(12;1);(3;4);(4;3) }
↓
×35
(a;b)={(35;420) ; (420;35) ; (105;140) ; (140;105)}
stiim ca (a;b)*[a;b]=a*b = 420*35=14700
↓
35²*x*y=14700
↓
x*y =14700:35² = 14700:1225=12
(x ; y) = { (1;12);(12;1);(3;4);(4;3) }
↓
×35
(a;b)={(35;420) ; (420;35) ; (105;140) ; (140;105)}