Question

calculati c.m.m.d.c: c) 50 si 125 e)120,180,240; f) 144,156,192

Answer 1

Pentru a afla cel mai mare divizor comun al numerelor date, descompunem perechile de numere in factori primi.

c)    50  si 125

50 = 2 x 25 = 2 x 5²

125 = 5 x 25 = 5³

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c.m.m.d.c al numerelor ( 50 si 125 ) = 5² = 25

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e)   120;  180   si 240

120 = 2 x 60 = 2² x 3 x 5

180 = 3 x 60 = 2² x 3² x 5

240 = 4 x 60 = 2⁴ x 3 x 5

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c.m.m.d.c al numerelor ( 120;  180;   240 ) = 60

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f)    144;   156;   192

144 = 12² = 2⁴ x 3²

156 = 12 x 13 = 2² x 3 x 13

192 = 12 x 16 = 2⁶ x 3

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c.m.m.d.c al numerelor ( 144;  156 si 192 ) = 12