Question

Det c.m.m.d.c:
a)36,144
b)48,108
c)56,72
d)104,91

Answer 1

    
[tex]a) \\ 36 = 2^2 \times 3^2 \\ 144 = 2^4 \times 3^2 \\ cmmdc = 2^2 \times 3^2 = 4 \times 9 = \boxed{36} \\ \\ b) \\ 48 = 2^4 \times 3 \\ 108 = 2^2 \times 3^3 \\ cmmdc = 2^2 \times 3 = 4 \times 3=\boxed{12} \\ \\ c) \\ 56=2^3 \times 7 \\ 72=2^3 \times 3^2 \\ cmmdc=2^3 = \boxed{8} [/tex]

[tex]d) \\ 104 = 2^3 \times 13 \\ 91= 7 \times 13 \\ cmmdc= \boxed{13}[/tex]