Question

Determinati c..m.m.d.c. al fiecarei grupe de nr: 120,180,240;15,35,45;27,54,180;144,156,192. Va rog urgent dau coroana

Answer 1

a) 120 = 2^3 × 3 × 5

180 = 2^2 × 3^2 × 5

240 = 2^4 × 3 × 5

C.m.m.d.c.(120,180,240) = 2^2 × 3 × 5 = 60

b) 15 = 3 × 5

35 = 5 × 7

45 = 3^2 × 5

C.m.m.d.c.(15,35,45) = 5

c) 27 = 3^3

54 = 2 × 3^3

180 = 2^2 × 3^2 × 5

C.m.m.d.c(27,54,180) = 3^2 = 9

d) 144 = 2^4 × 3^2

156 = 2^2 × 3 × 13

192 = 2^6 × 3

C.m.m.d.c.(144,156,192) = 2^2 × 3 = 12