Question

Determina cel mai mare divizor comun al următoarelor numere naturala a) 24;36 b)28;42 c)30;45 d)36;54

Answer 1

a) 24; 36

24 = 2³×3

36 = 2²×3²

________

cmmdc = 2²×3 = 12

b) 28; 42

28 = 2²×7

42 = 2×3×7

________

cmmdc = 2×7 = 14

c) 30; 45

30 = 2×3×5

45 = 3²×5

________

cmmdc = 3×5 = 15

d) 36; 54

36 = 2²×3²

54 = 2×3³

________

cmmdc = 2×3² = 18