Question

det nr nat a si b daca (a,b)=8 a*b=768. va rog urgent

Answer 1

(a,b)=8
a=8m
b=8n
(m,n)=1
a*b=768
8m*8n=768
64mn=768
mn=768:64
mn=12
D12=1,2,3,4,6,12
Daca
m=1 n=12(A)
m=2 n=6⇒(m,n)=2(F)
m=3 n=4(A)
m=4 n=3(A)
m=6 n=2⇒(m,n)=2(F)
m=12 n=1(A)
a=8 b=96
a=24 b=32
a=32 b=24
a=96 b=8