Question

va rog urgent dau coroana ​

Answer 1

Răspuns:

a) cmmdc (108, 45) = 9

b) cmmdc (57, 38) = 19

c) cmmdc (120, 44) = 24

d) cmmdc (42, 54) = 6

e) cmmdc (182, 42) = 2

f) cmmdc (24, 36) = 12

Explicație pas cu pas:

a) 108 = 2² × 3³

    45 =         3² × 5

  cmmdc = 3² = 9 (se iau doar factorii comuni la puterea cea mai mica)

b)  57 =      3 × 19

    38 = 2 ×      19

    cmmdc = 19

c) 120 = 2³ × 3 × 5

    48 = 2⁴ × 3  

    cmmdc = 2³ × 3 = 24  

d) 42 = 2 × 3 ×  7

   54 = 2 × 3³

   cmmdc = 2×3 = 6

e) 182 = 2 ×             91

     42 = 2 × 3 × 7

    cmmdc = 2

f) 24 = 2³ × 3

  36 = 2² × 3²

    cmmdc = 2² × 3 = 12