Question

calculati c.m.m.d.c. si c.m.m.c. al numerelor a)12si24 b.16,36si 40 c.25si45​

Answer 1

Răspuns:

$a)12 = {2}^{2} \times 3 \\ 24 = {2}^{3} \times 3 \\ c.m.m.d.c = {2}^{2} \times 3 = 4 \times 3 = 12 \\ c.m.m.m.c = {2}^{3} \times 3 = 8 \times 3 = 24 \\ \\ b)16 = {2}^{4} \\ 36 = {2}^{2} \times {3}^{2} \\ 40 = {2}^{3} \times 5 \\ c.m.m.d.c = {2}^{2} = 4 \\ c.m.m.m.c = {2}^{4} \times {3}^{2} \times 5 = 16 \times 9 \times 5 = 144 \times 5 = 720 \\ \\c) 25 = {5}^{2} \\ 45 = {3}^{2} \times 5 \\ c.m.m.d.c = 5 \\ c.m.m.m.c = {3}^{2} \times {5}^{2} = 9 \times 25 = 225$

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