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Giải Bài 3 trang 39 SGK Toán 6 Chân trời sáng tạo tập 1

a) Ta có ƯCLN(18, 30) = 6. Hãy viết tập hợp A các ước của 6. Nêu nhận xét về tập hợp ƯC(18, 30) và tập hợp A. b) Cho hai số a và b. Để tìm tập hợp ƯC(a, b), ta có thể tìm tập hợp các nước của ƯCLN(a, b). Hãy tìm ƯCLN rồi tìm tập hợp các ước chung của: i. 24 và 30; ii. 42 và 98; iii. 180 và 234.

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Đề bài

a) Ta có ƯCLN(18, 30) = 6. Hãy viết tập hợp A các ước của 6. Nêu nhận xét về tập hợp ƯC(18, 30) và tập hợp A. b) Cho hai số a và b. Để tìm tập hợp ƯC(a, b), ta có thể tìm tập hợp các nước của ƯCLN(a, b). Hãy tìm ƯCLN rồi tìm tập hợp các ước chung của: i. 24 và 30;                     ii. 42 và 98;                 iii. 180 và 234.

Phương pháp giải - Xem chi tiết

a) Tìm tập hợp các ước của 6 rồi nhận xét b) Tìm tập hợp các ƯCLN sau đó tìm tập hợp các ước của ƯCLN.

Lời giải chi tiết

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. Vậy: ƯC(42, 98) = Ư(14) = {1; 2; 7; 14}. iii. \(180 = 2^2.3^2.5\) \(234 = 2.3^2. 13\) => ƯCLN(180,234) = \(2. 3^2 = 18\) Vậy: ƯC(180,234) = Ư(18) = {1; 2; 3; 6; 9; 18}.

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