Question

Aflați cel mai mare divizor comun al numerelor:
a)4;8;20;
e)30;45;60;
I)30;60;70;
(dau coroana dacă este corect)
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Answer 1

$a)4 = {2}^{2} \\ 8 = {2}^{3} \\ 20 = {2}^{2} \times 5 \\ = > (4 \: 8 \: 20) = {2}^{2} = 4$

$e)30 = 3 \times 2 \times 5 \\ 45 = {3}^{2} \times 5 \\ 60 = 6 \times 10 = 2 \times 3 \times 2 \times 5 = {2}^{2} \times 3 \times 5 \\ = > (30 \: 45 \: 60) = 3 \times 5 = 15$

$l)30 = 2 \times 3 \times 5 \\ 60 = {2}^{2} \times 3 \times 5 \\ 70 = 2 \times 5 \times 7 \\ (30 \: 60 \: 70) = 2 \times 5 = 10$