Bài 1: Tìm:
a. ƯCLN(45,60)
b. ƯCLN(48,72,90)
c. ƯCLN(132,214,318)
d. ƯCLN(210,420,980) giúp mìn với.
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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
\(a,24=2^3\cdot3;108=2^2\cdot3^3\\ \RightarrowƯCLN\left(24,108\right)=2^2\cdot3=12\\ b,60=2^2\cdot3\cdot5;72=2^3\cdot3^2\\ \RightarrowƯCLN\left(60,72\right)=2^2\cdot3=12\\ c,96=2^5\cdot3;192=2^6\cdot3\\ \RightarrowƯCLN\left(96,192\right)=2^5\cdot3=96\\ d,24=2^3\cdot3;36=2^2\cdot3^2;160=2^5\cdot5\\ \RightarrowƯCLN\left(24,36,160\right)=2^2=4\)
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
ƯCLN(33,55)=11
ƯCLN(48,90)=6
ƯCLN(105,210)=105
ƯCLN(48,60,120)=12
ƯCLN(45,60)=15
\(ƯCLN(33,55)\)
\(33 = 3.11\)
\(55 = 5.11\)
\(ƯCLN(33,55) = 11\)
\(ƯCLN(105,210)\)
\(105 = 5.3.7\)
\(210 = 2.5.3.7\)
\(ƯCLN(105,210) = 5.3.7 = 105\)
\(ƯCLN(48,90)\)
\(48 = 2^4.3\)
\(90 = 2.5.3^2\)
\(ƯCLN(48,90) = 3.2 = 6\)
\(ƯCLN(48,60,120)\)
\(48 = 2^4.3\)
\(60 = 2^2.3.5\)
\(120 = 2^3.3.5\)
\(ƯCLN(48,60,120) = 2^2.3 = 4.3 = 12\)
\(ƯCLN(45,60)\)
\(45 = 3^2.5\)
\(60 = 2^2.3.5\)
\(ƯCLN(45,60) = 3.5 = 15\)
1) a) 45 = 32.5
60 = 22.3.5
=> UCLN(45,60) = 3.5 = 15
b) UCLN(48;72;90) = 6
c) 2
d) 70
a) ƯCLN ( 16, 24 )
16 = 23 24 = 22.3
ƯCLN ( 16;24 ) = 22= 4
b) ƯCLN ( 60, 90 )
60 = 22.3.5 90=2.32.5
ƯCLN ( 60;90 ) = 2.3.5 = 30
c) ƯCLN ( 24, 84 )
24 = 23.3 84 = 22.3.7
ƯCLN ( 24;84 ) = 22.3 = 12
d) ƯCLN ( 16, 60 )
16 = 24 60 = 22.3.5
ƯCLN ( 16;60 ) = 22=4
e) ƯCLN ( 18, 77 )
18 = 2.32 77=7.11
ƯCLN ( 18; 77 ) = 1
g) ƯCLN ( 18, 90 )
18 = 2.32 90=2.32.5
ƯCLN ( 18;90 ) = 2.32 = 18
h) ƯCLN ( 18, 30, 42 )
18 = 2.32 30 = 2.3.5 42 = 2.3.7
ƯCLN ( 18;30;42 ) = 2.3=6
k) ƯCLN ( 26, 39, 48 )
26 = 2.13 39 = 3.13 48 = 24.3
ƯCLN ( 26;39;48 ) = 1
\(a,ƯCLN\left(12,15\right)=3\\ b,ƯCLN\left(18,42\right)=6\\ c,ƯCLN\left(24,36,40\right)=2\\ d,ƯCLN\left(150,84,30\right)=6\\ e,BCNN\left(20,30\right)=60\\ f,BCNN\left(84,108\right)=756\\ g,BCNN\left(45,150\right)=450\\ h,BCNN\left(12,15,10\right)=60\)
a. 45 = 5.32 ; 60 = 22 . 3 . 5
ƯCLN(45,60) = 3 . 5 = 15
b. 48 = 24 . 3 ; 72 = 23 . 32 ; 90 = 2 . 5 . 32
ƯCLN(48,72,90) = 2 . 3 = 6
c.132 = 22.3.11 ; 214 = 2.107;318 = 2 . 3 . 53
ƯCLN(132,214,318) = 2
d.210 = 2.5.3.7;420 = 22.5.3.7;980 = 22.5.72
ƯCLN(210,420,980) = 2 . 5 . 7 = 70