Question

determinati nr nat a,b.(a,b)=8,a•b=1280

Answer 1

Daca cmmdc(a,b) = (a,b)=8 avem a=8m si b=8n, cu (m,n)=1, adica prime intre ele.

8m x 8n = 1280

mn = 1280:64 = 20

deci

m=1 si n=20 sau invers, de unde

a=8 si b=160 sau invers.