Question

numerele 165,215 si 625 impartite la acelasi numar natural dau resturile 45,35 si respectiv,25. aflati impartitorul. plzz

Answer 1

165 : X = a rest 45
aX = 165 -45 = 120

215 : X = b rest 35
bX = 215 -35 = 180

625 : X = c rest 25
cX = 625 - 25 = 600

120 = 2^3 × 3 × 5
180 = 2^2 × 3^2 × 5
600 = 2^3 × 3 × 5^2
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c.m.m.d.c = 2^2 ×3 × 5= 4×3×5 = 60

X = 60 (impartitorul)

165 : 60 = 2 rest 45
215 : 60 = 3 rest 35
625 : 60 = 10 rest 25