Question

Aflati C.M.M.D.C. si C.M.M.M.C. al numerelor: a) 6 si 8;b)10 si 20;c)5 si 6;d)4 si 10;e)50 si 48;f)372,360 si 900.

Answer 1

a)  6  si 8

6 = 2 × 3

8 = 2³

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c.m.m.d.c al numerelor ( 6 si 8 ) = 2

c.m.m.m.c. al numerelor ( 6 si 8 ) = 2³ x 3 = 24

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b) 10 si 20

10 = 2 × 5

20 = 2² x 5

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c.m.m.d.c al numerelor ( 10 si 20 ) = 2 × 5 = 10

c.m.m.m.c. al numerelor ( 10 si 20 ) = 2² x 5 = 20

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c)  5 si 6

c.m.m.d.c al numerelor ( 5 si 6 ) = 1

c.m.m.m.c. al numerelor ( 5 si 6 ) = 5 × 6 = 30

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d) 4 si 10

4 = 2²

10 = 2 × 5

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c.m.m.d.c al numerelor ( 4 si 10 ) = 2

c.m.m.m.c al numerelor ( 4 si 10 ) = 2² × 5 = 20

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e)   50 si 48

50 = 2 × 5²

48 = 2⁴ × 3

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c.m.m.d.c al numerelor ( 50 si 48 ) = 2

c.m.m.m.c. al numerelor ( 50 si 48 ) = 2⁴ × 3 × 5²= 1 200

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f)

372 = 2² × 3 × 31

360 = 2³ × 3² × 5

900 = 2² × 3² × 5²

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c.m.m.d.c al numerelor ( 372;  360  si 900 ) = 2² × 3 = 12

c.m.m.m.c. al numerelor ( 372;  360 si 900 ) = 2³ × 3² × 5² × 31= 55 800