Question

Calculati c.m.m.d.c si c.m.m.m.c al numerelor :a)54 si 63. b) 90;120 si 225
Aratati ca :(54;63)×[54;63]=54×63​
Urgent!(Daca stiu cum dau

Answer 1

54=3^3×2

63=3^2×7

c.m.m.d.c= factorii comuni la puterea cea mai mică

=> (54;63)= 3^2=9

c.m.m.m.c. = factorii comuni şi necomuni la puterea cea mai mare

=> [54;63]= 3^3×2×7= 27×2×7= 378

90= 3^2×5×2

120=2^3×3×5

225= 5^2×3^2

(90;120;225)=3×5=15

[90;102;225]= 3^2×2^3×5^2=9×8×25= 72×25=180

(54;63)×[54;63]=54×63

9×378=54×63

3402=3402