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a: ƯCLN(40;24)=8
ƯC(40;24)=Ư(8)={1;2;4;8}
b: UCLN(80;144)=16
UCLN(80;144)={1;2;4;8;16}
c: UCLN(9;18;72)=9
ƯC(9;18;72)={1;3;9}
d: ƯCLN(25;55;75)=5
ƯC(25;55;75)={1;5}
\(a,40=2^3.5\\ 24=2^3.3\\ \Rightarrow UCLN_{\left(24;40\right)}=2^3=8\\ \RightarrowƯC_{\left(40;24\right)}=Ư_{\left(8\right)}=\left\{1;2;4;8\right\}\\ b,80=2^4.5\\ 144=2^4.3^2\\ \Rightarrow UCLN_{\left(80;144\right)}=2^4=16\\ \RightarrowƯC_{\left(80;144\right)}=Ư_{\left(16\right)}=\left\{1;2;4;8;16\right\}\\ c,9=3^2\\ 18=2.3^2\\ 72=3^2.2^3\\ \Rightarrow UCLN_{\left(8;18;72\right)}=3^2=9\\ \RightarrowƯC_{\left(9;18;72\right)}=Ư_{\left(9\right)}=\left\{1;3;9\right\}\\ d,25=5^2\\ 55=5.11\\ 75=5^2.3\\ \Rightarrow UCLN_{\left(25;55;75\right)}=5\\ \RightarrowƯC_{\left(25;55;75\right)}=Ư_{\left(5\right)}=\left\{1;5\right\}\)
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\(a,ƯC\left(40,24\right)=Ư\left(8\right)=\left\{...\right\}\\ b,ƯC\left(12,52\right)=Ư\left(4\right)=\left\{...\right\}\\ c,ƯC\left(36,990\right)=Ư\left(18\right)=\left\{...\right\}\\ d,ƯC\left(54,36\right)=Ư\left(9\right)=\left\{...\right\}\\ e,ƯC\left(10,20,70\right)=Ư\left(10\right)=\left\{...\right\}\\ f,ƯC\left(25,55,75\right)=Ư\left(5\right)=\left\{...\right\}\\ g,ƯC\left(80,144\right)=Ư\left(16\right)=\left\{...\right\}\\ h,ƯC\left(63,2970\right)=Ư\left(9\right)=\left\{...\right\}\\ i,ƯC\left(65,125\right)=Ư\left(5\right)=\left\{...\right\}\\ j,ƯC\left(9,18,72\right)=Ư\left(9\right)=\left\{...\right\}\\ k,ƯC\left(24,36,60\right)=Ư\left(12\right)=\left\{...\right\}\\ l,ƯC\left(16,42,86\right)=Ư\left(2\right)=\left\{..\right\}\)
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a) 40 và 24
Ta có: 40 = 23 . 5
24 = 23 . 3
=> ƯCLN(40; 24) = 23 = 8
=> ƯC(40; 24) \(\in\) Ư(8)
=> ƯC(40; 24) \(\in\) Ư(8) = { 1; 2; 4; 8 }
Các câu còn lại tương tự nha bạn
ƯCLN(24,40)=8
=>ƯC(24,40)=Ư(8)=(1,2,4,8)
các cau khac tuong tu nhe ban
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có:
40 = 23.5
24 = 23.3
=> ƯCLN(40;24) = 23 = 8
=> ƯC(40;24) = Ư(8) = {1 ; -1 ; 2 ; -2 ; 4 ; -4 ; 8 ; -8}
Nếu bn chưa học tập hợp Z thì ƯC(40;24) = Ư(8) = {1 ; 2 ; 4 ; 8}
40 = 23 . 5
24 = 23 . 3
ƯCLN(40, 24) = 23 = 8
Ư(8) = {1;2;4;8}
Vậy ƯC(40, 24) = {1;2;4;8}
![](https://rs.olm.vn/images/avt/0.png?1311)
Lời giải:
a.
$12=2^2.3$; $18=2.3^2$
$\Rightarrow ƯCLN(12,18)=2.3=6$
$\Rightarrow ƯC\in Ư(6)\in \left\{1; 2;3;6\right\}$
b.
$48\vdots 24$ nên $ƯCLN(24,48)=24$
$\Rightarrow ƯC(24,48)\in Ư(24)\in \left\{1; 2; 3; 4; 6; 8;12;24\right\}$
c.
$300=2^2.3.5^2$
$280=2^3.5.7$
$\Rightarrow ƯCLN(300,280)=2^2.5=20$
$\Rightarrow ƯC(300,280)\in Ư(20)\in \left\{1;2;4;5;10;20\right\}$
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 20 = 22 . 5
48 = 24 . 3
ƯCLN(20,40) = 22 = 4
ƯC(20,40) = Ư(4) = 1,2,4
Mà theo đề bài 0 < x < 4 nên x = { 1 , 2 }
b) 30 = 2 . 5 . 3
24 = 23 . 3
ƯCLN(30,24) = 2 . 3 = 6
ƯC(30,24) = Ư(6) = 1,2,3,6
Mà theo y/c đề bài 2 < x < 6 nên x = 3
![](https://rs.olm.vn/images/avt/0.png?1311)
a) Ta có :
40 = 23 . 5
24 = 23 . 3
=> ƯCLN ( 40 ; 24 ) = 23 = 8
=> ƯC ( 40 ; 24 ) = Ư ( 8 ) = { 1 ; 2 ; 4 ; 8 }
b) Ta có :
12 = 22 . 3
52 = 22 . 13
=> ƯCLN ( 12 ; 52 ) = 22 = 4
=> ƯCLN ( 12 ; 52 ) = Ư ( 4 ) = { 1 ; 2 ; 4 }
c) Ta có :
36 = 22 . 32
990 = 2 . 32 . 5 . 11
=> ƯCLN ( 36 ; 990 ) = 2 . 32 = 18
=> ƯC ( 36 ; 990 ) = Ư ( 18 ) = { 1 ; 2 ; 3 ; 6 ; 9 ; 18 }
d) Ta có :
54 = 2 . 33
36 = 22 . 32
=> ƯCLN ( 54 ; 36 ) = 22 . 33 = 18
=> ƯC ( 54 ; 36 ) = Ư ( 18 ) = { 1 ; 2 ; 3 ; 6 ; 9 ; 18 }
a)40 và 24
ta có:
40=2^3*5
24=2^3*3
=> ƯCLN(40;24) =2^3=8
=>ƯC(40;24)=Ư(8)={1;2;4;8}
những câu còn lại tương tự bn nhé
TL :
\(40=2^3.5.\)
\(24=2^2.3.2\)
UCLN (40;24) = \(2^3=8\)
BC (8) = \(\left\{1;8;16;24;32;40.....\right\}\)
b) \(48=2^4.3\)
\(120=2^3.5\)
UCLN (48;120 ) = \(2^2.3=12\)