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Bài 1:
a: UCLN(150;1200)=150
UC(150;1200)=Ư(150)={1;2;3;5;6;10;15;25;30;50;75;150}
b: UCLN(120;160;40)=40
ƯC(120;160;40)=Ư(40)={1;2;4;5;8;10;20;40}
Bài 2:
\(\Leftrightarrow x\inƯC\left(360;930;450\right)\)
\(\Leftrightarrow x\inƯ\left(90\right)\)
mà x>30
nên \(x\in\left\{45;90\right\}\)
3:
a: \(40=2^3\cdot5;24=2^3\cdot3\)
=>\(ƯCLN\left(40;24\right)=2^3=8\)
=>\(ƯC\left(40;24\right)=Ư\left(8\right)=\left\{1;-1;2;-2;4;-4;8;-8\right\}\)
b: \(12=2^2\cdot3;52=2^2\cdot13\)
=>\(ƯCLN\left(12;52\right)=2^2=4\)
=>\(ƯC\left(12;52\right)=\left\{1;-1;2;-2;4;-4\right\}\)
c: \(36=2^2\cdot3^2;990=2\cdot3^2\cdot5\cdot11\)
=>\(ƯCLN\left(36;990\right)=3^2\cdot2=18\)
=>\(ƯC\left(36;990\right)=\left\{1;-1;2;-2;3;-3;6;-6;9;-9;18;-18\right\}\)
2:
a: \(12=2^2\cdot3;18=3^2\cdot2\)
=>\(ƯCLN\left(12;18\right)=2\cdot3=6\)
b: \(12=2^2\cdot3;10=2\cdot5\)
=>\(ƯCLN\left(12;10\right)=2\)
c: \(24=2^3\cdot3;48=2^4\cdot3\)
=>\(ƯCLN\left(24;48\right)=2^3\cdot3=24\)
d: \(300=2^2\cdot3\cdot5^2;280=2^3\cdot5\cdot7\)
=>\(ƯCLN\left(300;280\right)=2^2\cdot5=20\)
a) Ta có:
144=24.3
420=22.3.5.7
ƯCLN(...)=22.3=12
ƯC(...)=Ư(12)={1;2;3;4;6;12}
Các bài sau bn cũng lm thế này nhé:)))
\(36=2^2\cdot3^2\\ 120=2^3\cdot3\cdot5\\ ƯCLN\left(36,120\right)=2^2\cdot3=12\\ ƯC\left(36,120\right)=Ư\left(12\right)=\left\{...\right\}\)
Ta có: 36= 2^2. 3^2
120= 2^3. 3.5
=> ƯCLN( 36; 120)- 2^2. 3= 12
=> ƯC(36;120) = Ư(12) = { 1; 2; 3; 4; 6; 12}
a) 54=2.33; 48=23.6 b)45=5.32 ; 60=22.3.5 c)48=24.3 ; 72=22.32 ;90=2.32.5
TSNT chung:2 TSNT chung:3;5 TSNT chung:2;3
ƯCLN(54;48)=2=2 ƯCLN(45;60)=3.5=15 ƯCLN(48;72;90)=2.3=6
ƯC(54;48)=Ư(2)={1;2} ƯC(45;60)=Ư(15)={1;3;5;15} ƯC(48;72;60)=Ư(6)={1;2;3;6}
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