Question

Tìm ƯCLN của: a) 96,120 b) 17,20 c) 36,60,72 d) 240,360

Answer 1

\(a,96=3.2^5\\ 120=2^3.3.5\\ =>UCLN\left(96,120\right)=2^3.3=24\)

\(b,17=1.17\\ 20=4.5\)

=> ko có UCLN 

\(c,36=2^2.3^2\\ 60=3.5.2^2\\ 72=2^3.3^2\\ =>UCLN\left(36;60;72\right)=2^2.3=12\)

\(d,240=2^4.3.5\\ 360=2^3.3^2.5\\ =>UCLN\left(240;360\right)=2^3.3.5=120\)

Answer 2

a) 96 = 2⁵ . 3

120 = 2³ . 3 . 5

ƯCLN(96; 120) = 2³ . 3 = 24

b) 17 = 17

20 = 2².5

ƯCLN(17; 20) = 1

c) 36 = 2².3²

60 = 2².3.5

72 = 2³.3²

ƯCLN(36; 60; 72) = 2².3 = 12

d) 240 = 2⁴.3.5

360 = 2³.3².5

ƯCLN(240; 360) = 2³.3.5 = 120