Bài này dễ mà

a ) 48 và 72

48 = 2⁴.3

72 = 2³.3²

ƯCLN ( 48,72 ) = 2³.3 = 12

b ) 132 và 156

132 = 2².3.11

156 = 2².3.13

ƯCLN = 2².3 = 12

a, 48 = 2\(^4\) . 3

72 = 2\(^3\) . 3\(^2\)

ƯCLN(48;72) = 2\(^3\).3= 24

ƯC(48;72)=Ư(24)\(\in\)\(\left\{1;2;3;4;6;8;12;24\right\}\)

=> ƯC(48;72)\(\in\)\(\left\{1;2;3;4;6;8;12;24\right\}\)

b,132=2\(^2\).3.11

156=2\(^2\).3.13

ƯCLN(132;156)=2\(^2\).3=12

ƯC(132;156)=Ư(12)\(\in\)\(\left\{1;2;3;4;6;12\right\}\)

=>ƯC132;156)\(\in\)\(\left\{1;2;3;4;6;12\right\}\)

a)225=3².5²

   270=2.5.3³

   360=2³.3².5

=> ƯCLN 225;270;360=3².5=45

=>ƯC225;270;360=ước 45=1;3;5;9;15;45

b)540=2².3³.5

   756=3³.2².7

   1512=3³.2³.7

=>ưcln 540;756;1512=2².3³=108

=>ưc 540;756;1512=ư 108=1;2;3;4;6;9;12;18;24;27;36;48;54;72;108

 Ơi có câu trả lời Không

Đề ƯCLN của 360và400 bằng bao nhiêu vậy

\(a,ƯCLN\left(540,168\right)=12\\ \RightarrowƯC\left(540,168\right)=Ư\left(12\right)=\left\{-12;-6;-4;-3;-2;-1;1;2;3;4;6;12\right\}\\ b,ƯCLN\left(735,350\right)=35\\ \RightarrowƯC\left(735,350\right)=Ư\left(35\right)=\left\{-35;-7;-5;-1;1;5;7;35\right\}\)

\(a.540=2^2.3^3.5\)

\(168=2^3.3.7\)

\(ƯCLN\left(540;168\right)=2^2.3=12\)

\(ƯC\left(540;168\right)=\left\{12;24;36;...\right\}\)

\(b.735=3.5.7^2\)

\(350=2.5^2.7\)

\(ƯCLN\left(735;350\right)=5.7=35\)

\(ƯC\left(735;350\right)=\left\{35;70;105;...\right\}\)

a: UCLN(24;40)=8

UC(24;40)={1;2;4;8}

b: UCLN(42;98)=14

UC(42;98)={1;2;7;14}

a) A = {1; 2; 3; 6}

Nhận xét: Ta thấy tập hợp ƯC (18, 30) = {1; 2; 3; 6} nên tập hợp ƯC (18, 30) giống với tập hợp A.

b)

i. 24 = 2³.3

   30 = 2.3.5

=> ƯCLN(24, 30) = 2.3= 6

Vậy: ƯC(24, 30) = Ư(6) = {1; 2; 3; 6}.

ii. 42 = 2.3.7

    98 = 2.7²

=> ƯCLN(42, 98) = 2.7 = 14.

iii. \(180 = 2^2.3^2.5\)

\(234 = 2.3^2. 13\)

=> ƯCLN(180,234) = \(2. 3^2 = 18\)

a: 

ƯC(18,30)=AƯC(18,30)=A

b: ƯCLN(24;30)=6ƯCLN(24;30)=6

ƯC(24;30)={1;2;3;6}ƯC(24;30)={1;2;3;6}

ƯCLN(42;98)=14ƯCLN(42;98)=14

ƯC(42;98)={1;2;7;14}ƯC(42;98)={1;2;7;14}

ƯC(180;234)={1;2;3;6;9;18}

a) 72 và 60.     ===> Lưu ý: VD: 2^2 = 2 mũ 2

72 = 3^2.2^3

60 = 5.3.2^2

ƯCLN (72,60) = 3.2^2 = 12

ƯC = Ư(12) = {1,2,3,4,6,12}

b) 90; 180 và 315

90 = 5.3^2.2

180 = 5.3^2.2^2

315 = 5.3^2.7

ƯCLN  (90,180,315) = 5.3^2 = 125

ƯC = Ư(125) = { 1,125 }

a)

Ta có:

\(24=2^3.3\)

\(30=2.3.5\)

\(\RightarrowƯCLN\left(24;30\right)=2.3=6\)

\(\RightarrowƯC\left(24;30\right)=Ư\left(6\right)=\left\{1;2;3;6\right\}\)

b)

Ta có:

\(42=2.3.7\)

\(98=2.7^2\)

\(\RightarrowƯCLN\left(42;98\right)=2.7=14\)

\(\RightarrowƯC\left(42;98\right)=Ư\left(14\right)=\left\{1;2;7;14\right\}\)

c)

Ta có:

\(180=2^2.3^2.5\)

\(234=2.3^2.13\)
\(\RightarrowƯCLN\left(180;234\right)=2.3^2=18\)

\(\RightarrowƯC\left(180;234\right)=Ư\left(18\right)=\left\{1;2;3;6;9;18\right\}\)

a. ƯCLN(24;30) = 6

ƯC(24, 30) = {1; 2; 3; 6}

b. UCLN( 42 ; 98)= 14

ƯC(42;98) = \(\left\{1;2;7;14\right\}\)

c.UCLN( 180 ; 234 ) = 18 

ƯC(180;234) = \(\left\{1;2;;6;9;18\right\}\)