Lời giải 1 :
4.
a)ƯCLN(4,10)
4=2²
10=2.5
=>ƯCLN(4,10)=2
BCNN(4,10)
4=2²
10=2.5
=>BCNN(4,10)=2².5=4.5=20
b)ƯCLN(300,280)
300=2².3.5²
280=2³.5.7
=>ƯCLN(300,280)=2².5=20
BCNN(300,280)
300=2².3.5²
280=2³.5.7
=>BCNN(300,280)=2³.3.5².7=8.3.25.7=4200
c)ƯCLN(30,90)
30=2.3.5
90=2.3².5
=>ƯCLN(30,90)=2.3.5=10.3=30
BCNN(30,90)
30=2.3.5
90=2.3².5
=>BCNN(30,90)=2.3².5=2.9.5=90
d)ƯCLN(14,21,56)
14=2.7
21=3.7
56=2³.7
=>ƯCLN(14,21,56)=7
BCNN(14,21,56)
14=2.7
21=3.7
56=2³.7
=>BCNN(14,21,56)=2³.3.7=8.3.7=168
5.
a)ƯCLN(24,10)
24=2³.3
10=2.5
=>ƯCLN(24,10)=2
=>ƯC(24,10) THUỘC Ư(2)={1;2}
=>ƯC(24,10)={1;2}
b)ƯCLN(80,144)
80=2⁴.5
144=2⁴.3²
=>ƯCLN(80,144)=2⁴=16
=>ƯC(80,144) THUỘC Ư(16)={1;2;4;8;16}
=>ƯC(80,144)={1;2;4;8;16}
c)ƯCLN(9,8,72)
9=3²
18=2.3²
72=2³.3²
=>ƯCLN(9,18,72)=3²=9
=>ƯC(9,18,72) THUỘC Ư(9)={1;3;9}
=>ƯC(9,18,72)={1;3;9}
d)ƯCLN(25,55,75)
25=5.5
55=5.11
75=3.5²
=>ƯCLN(25,55,75)=5
=>ƯC(25,55,75) THUỘC Ư{5}={1;5}
=>ƯC(25,55,75)={1;5}
6.
a)BCNN(10,24)
10=2.5
24=2³.3
=>BCNN(10,24)=2³.3.5=8.3.5=120
=>BC(10,24) THUỘC B{120}={0;120;240;360;480;....}
=>BC(10,24)={0;120;240;360;480;...}
b)BCNN(48,120)
48=2⁴.3
120=2³.3.5
=>BCNN(48,120)=2⁴.3.5=16.3.5=240
=>BC(48,120) THUỘC B{240}={0;240;480;720;...}
=>BC(48,120)={0;240;480;720;...}
c)BCNN(20,35,60)
20=2².5
35=5.7
60=2².3.5
=>BCNN(20,35,60)=2².3.5.7=420
=>BC(20,35,60) THUỘC B(420)={0;420;840;1260;...}
=>BC(20,35,60)={0;420;840;1260;....}
d)BCNN(18,24,32)
18=2.3²
24=2³.3
32=2⁵
=>BCNN(18,24,32)=2⁵.3²=32.9=288
=>BC(18,24,32) THUỘC B(288)={0;288;576;864;...}
=>BC(18,24,32)={0;288;576;864;....}
7.
a)89-(73-x)=20
73-x=89-20
73-x=69
x=73-69
x=4
b)(x+7)-25=13
x + 7=13+25
x+7=28
x=28+7
x=31
c)198-(x+4)=120
x+4=198-120
x+4=78
x=78-4
x=74
d) giống đề C
e)140:(x-8)=7
x-8=140:7
x-8=20
x=20+8
x=28
f)4(x+41)=400
x+41=400:4
x+41=100
x=100-41
x=59
Thảo luận