Question

numerele 3167,3273,2481 impartite la acelasi nr natural nenul dau resturile 17,23 respectiv 31 .Aflati impartitorul pls

Answer 1

3167 : n = x rest 17 => nx = 3167 -17 = 3150

3273 : n = y rest 23 => ny = 3273 - 23 = 3250

2481 : n = z rest 31 => nz = 2481 - 31 = 2450



3150 = 2 × 3^2 × 5^2 × 7

3250 = 2 × 5^3 × 13

2450 = 2 × 5^2 × 7^2
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cmmdc = 2 × 5^2 = 50


impărtitorul = 50
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3167 : 50 = 63 rest 17

3273 : 50 = 65 rest 23

2481 : 50 = 49 rest 31