Question

determinati numerele a si b stiind ca [a,b] = (a,b) = 13

Answer 1

[a,b] = (a,b) = 13
a·b=[a,b]·(a,b)
a·b=13·13=169
(a,b)=13=> a=13m si b=13n; (m,n)=1
a·b=13m·13n=169·m·n
169=169·m·n => m·n=1; m=n=1
=>a=b=13