Question

aflati nr a si b stiind ca cel mai mare divizor comun al lor este 60 iar cel mai mic multiplu comun al lor edte 1800.

Answer 1

(a,b)=60 si [a,b]=1800

= >a∙b=60∙1800=108 000

Din(a,b)=60=> a=60∙x , iar b=60∙y, (x,y)=1

a∙b=60x∙60y

60x∙60y=60∙1800  impartim la 60∙60

x∙y=30

(x,y)∈{(1,30), (2,15), (3,10), (5,6),(6,5), (10,3), (15,2), (30,1)}

a=60x si b=60y=>

(a,b)∈{(60,1800),(120,900),(180,600),(300,360),(360,300),(600,180),(900,120),(1800,60)}