Page 13 - Steady Mate Tg1 - Book B

Matematik Tingkatan 1 Bab 2 Faktor dan Gandaan

Kaedah menyenarai gandaan sepunya
Method of listing the common multiples

Contoh 4. 10, 12, 15
6, 8, 12
Gandaan 10 / Multiples of 10 :
10, 20, 30, 40, 50, 60, 70,...
Gandaan 6 / Multiples of 6 : Pilih gandaan sepunya
6, 12, 18, 24, 30,... pertama (terkecil). Gandaan 12 / Multiples of 12 :
Choose the first common 12, 24, 36, 48, 60, 72, ...
Gandaan 8 / Multiples of 8 : multiple (smallest).
8, 16, 24, 32, ... Gandaan 15 / Multiples of 15 :
15, 30, 45, 60, 75, ...
Gandaan 12 / Multiples of 12 :
12, 24, 36, ...
GSTK bagi 10, 12 dan 15 ialah 60.
GSTK bagi 6, 8 dan 12 ialah 24. LCM of 10, 12 and 15 is 60.
LCM of 6, 8 and 12 is 24.

Kaedah pembahagian berulang
Repeated division

Contoh 5. 8, 10, 16
4, 6, 9
2 8 , 10 , 16
2 4 , 6 , 9 2 4 , 5 , 8
2 2 , 3 , 9 Ulang pembahagian sehingga semua 2 2 , 5 , 4
hasil bahagi menjadi 1.
3 1 , 3 , 9 5 1 , 5 , 2
Repeat the division until all the
3 1 , 1 , 3 quotients become 1. 2 1 , 1 , 2
1 , 1 , 1 1 , 1 , 1
GSTK / LCM = 2 × 2 × 3 × 3 GSTK / LCM = 2 × 2 × 2 × 5 × 2
= 36 = 80

Kaedah pemfaktoran perdana
Prime factorisation
Contoh 6. 15, 25, 30

6, 12, 18
15 = 3 × 5
25 = 5 × 5
6 = 2 × 3 30 = 2 × 3 × 5
12 = 2 × 2 × 3 Susun mengikut faktor perdana
sepunya jika ada. ↓ ↓ ↓ ↓
18 = 2 × 3 × 3 Align the common prime factors 2 × 3 × 5 × 5
↓ ↓ ↓ ↓ whenever possible.
2 × 2 × 3 × 3
GSTK / LCM = 2 × 3 × 5 × 5
= 150
GSTK / LCM = 2 × 2 × 3 × 3
= 36

11 © Penerbitan Pelangi Sdn. Bhd.