Page 6 - Steady Mate Tg1 - Book B

Matematik Tingkatan 1 Bab 2 Faktor dan Gandaan

Contoh 2. 14, 42, 54 (7)
12, 18, 32 (4)
14 ÷ 7 = 2 54 tidak boleh dibahagi
12 ÷ 4 = 3 18 tidak boleh dibahagi 42 ÷ 7 = 6 tepat dengan 7.
18 ÷ 4 = 4 baki 2 tepat dengan 4. 54 ÷ 7 = 7 baki 5 54 is not completely
divisible by 7.
4 remainder 2 18 is not completely 7 remainder 5
32 ÷ 4 = 8 divisible by 4.
Maka, 7 bukan faktor sepunya bagi 14, 42 dan 54.
Maka, 4 bukan faktor sepunya bagi 12, 18 dan 32. Thus, 7 is not a common factor of 14, 42 and 54.
Thus, 4 is not a common factor of 12, 18 and 32.

G Bagi setiap yang berikut,
For each of the following,
(i) senaraikan semua faktor sepunya. TP 2 ARAS S
list all common factors.
(ii) seterusnya, tentukan faktor sepunya terbesar (FSTB). TP 3 ARAS S
hence, determine the highest common factor (HCF).
Faktor bagi Faktor sepunya FSTB
Factors of Common factors HCF
Contoh 12: 1 , 2 , 3, 4 , 6, 12 1, 2, 4 4
12, 40 40: 1 , 2 , 4 , 5, 8, 10, 20, 40

1. 16, 28 16: 1 , 2 , 4 , 8, 16 1, 2, 4 4
28: 1 , 2 , 4 , 7, 14, 28

2. 18, 21 18: 1 , 2, 3 , 6, 9, 18 1, 3 3
21: 1 , 3 , 7, 21
3. 30, 42 30: 1 , 2 , 3 , 5, 6 , 10, 15, 30 1, 2, 3, 6 6

42: 1 , 2 , 3 , 6 , 7, 14, 21, 42
Contoh 27: 1 , 3 , 9 , 27 1, 3, 9 9

27, 36, 45 36: 1 , 2, 3 , 4, 6, 9 ,12, 18, 36
45: 1 , 3 , 5, 9 , 15, 45

4. 14, 35, 98 14: 1 , 2, 7 ,14 1, 7 7
35: 1 , 5, 7 , 35
98: 1 , 2, 7 , 14, 49, 98

5. 16, 24, 40 16: 1 , 2 , 4 , 8 , 16 1, 2, 4, 8 8
24: 1 , 2 , 3, 4 , 6, 8 , 12, 24
40: 1 , 2 , 4 , 5, 8 , 10, 20, 40
6. 60, 75, 105 60: 1 , 2, 3 , 4, 5 , 6, 10, 12, 15, 20, 30, 60 1, 3, 5, 15 15
75: 1 , 3 , 5 , 15, 25, 75
105: 1 , 3 , 5 , 7, 15, 21, 35, 105

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