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a: UCLN(24;108)=12
b: UCLN(60;72)=12
c: UCLN(96;192)=96
d: UCLN(24;36;160)=4
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,24=2^3\cdot3;108=2^2\cdot3^3\\ \RightarrowƯCLN\left(24,108\right)=2^2\cdot3=12\\ b,60=2^2\cdot3\cdot5;72=2^3\cdot3^2\\ \RightarrowƯCLN\left(60,72\right)=2^2\cdot3=12\\ c,96=2^5\cdot3;192=2^6\cdot3\\ \RightarrowƯCLN\left(96,192\right)=2^5\cdot3=96\\ d,24=2^3\cdot3;36=2^2\cdot3^2;160=2^5\cdot5\\ \RightarrowƯCLN\left(24,36,160\right)=2^2=4\)
a,24=23⋅3;108=22⋅33⇒ƯCLN(24,108)=22⋅3=12b,60=22⋅3⋅5;72=23⋅32⇒ƯCLN(60,72)=22⋅3=12c,96=25⋅3;192=26⋅3⇒ƯCLN(96,192)=25⋅3=96d,24=23⋅3;36=22⋅32;160=25⋅5⇒ƯCLN(24,36,160)=22=4
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Lời giải:
a. $96=2^5.3; 240=2^4.3.5$
$\Rightarrow ƯCLN(96,240)=2^4.3=48$
b. $120\vdots 40\Rightarrow ƯCLN(40,120)=40$
![](https://rs.olm.vn/images/avt/0.png?1311)
\(36=2^2\cdot3^2\)
\(48=3\cdot2^4\)
=>\(ƯCLN\left(36;48\right)=2^2\cdot3=12\)
\(BCNN\left(36;48\right)=2^4\cdot3^2=16\cdot9=144\)
![](https://rs.olm.vn/images/avt/0.png?1311)
A/
12= 22.3
60=22.3.5
ƯCLN(12,60)=22.3.5=60
B/
24=23.3
88=23.11
ƯCLN(24,88)=23.3.11=264
C/
96=25.3
224= 25.7
ƯCLN(96,224)=25.3.7=672
D/
34=2.17
96=25.3
ƯCLN(34,96)=25.3.17=1632
Chúc bạn học tốt
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có:
36=22.32
96=25.3
=>ƯCLN(36;96)=22.3=12
Vậy ƯCLN(36;96)=12
96,36