Question

[THI MIEU NGUYEN]

Tìm các số sau :

a) ƯCLN( 6, 12, 24)           b) ƯCLN(256, 48)         C) UWCLN(15, 45, 105)

Answer 1

[Mỹ Châu]

a)\(ƯCLN\left(6,12,24\right)\)

Ta có

\(6=2.3\)

\(12=3.2^2\)

\(24=3.2^3\)

\(\RightarrowƯCLN\left(6,12,24\right)=2.3=6\)

b)\(ƯCLN\left(256,48\right)\)

Ta có

\(256=2^8\)

\(48=2^4.3\)

\(\RightarrowƯCLN\left(256,48\right)=2^4=16\)

c)\(ƯCLN\left(15,45,105\right)\)

Ta có

\(15=3.5\)

\(45=3^2.5\)

\(105=3.5.7\)

\(\RightarrowƯCLN\left(15,45,105\right)=3.5=15\)

Answer 2

[Kynz Zanz]

a, ƯCLN (6;12;24)

6= 2.3

12= 2².3

24= 3.2³

\(\Rightarrow\)ƯCLN (6;12;24)= 2.3= 6

b, ƯCLN(256; 48)

256= 2⁸

48= 2⁴.33

\(\Rightarrow\)ƯCLN (256; 48)= 2⁴= 16

c, ƯCLN (15; 45; 105)

15= 3.5

45= 3².5

105= 3.5.7

\(\Rightarrow\)ƯCLN (15; 45; 105)= 3.5= 15