Question

Calcule o mdc de a) 240 180 72 54 b) 120 300 540

Answer 1

a) 240, 180, 72, 54                  Fatorando temos:

                             240 = 2^4 x 3 x 5
                             180 = 2² x 3² x 5
                               72 = 2³ x 3²
                               54 = 2  x 3³

mdc(240, 180, 72, 54) = 2 x 3

mdc(240, 180, 72, 54) = 6


b) 120 300 540                       Fatorando temos:

                          120 = 2³ x 3  x 5
                          300 = 2² x 3  x 5²
                          540 = 2² x 3³ x 5

mdc(120, 300, 540) = 2² x 3 x 5


mdc(120, 300, 540) = 60