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Question
The HCF of 144 and 198 is
Options
12
16
18
8
Solution
22×3= 12
We will first factorise the two numbers:
144 = 2 × 2 × 2 × 2 × 2 × 3 × 3 = 24 × 32
180 = 2 × 2 × 3 × 3 × 5 = 22 × 32 × 5
192 = 2 × 2 × 2 × 2 × 2 × 2 × 3 = 26 × 3
Here, 12 (i.e. 22× 3 = 12) is the highest common factor of the three numbers.
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