What is the HCF and LCM of 3, 2.7, and 0.09?

We need to find the HCF and LCM of 3, 2.7, and 0.09.

To remove the decimals, multiply each number by 100:

3 × 100 = 300
2.7 × 100 = 270
0.09 × 100 = 9

Now find the HCF and LCM of 300, 270, and 9.

HCF

HCF of 300 and 270 is 30.
HCF of 30 and 9 is 3.

Since we multiplied the original numbers by 100, divide the HCF by 100:

HCF = 3/100 = 0.03

LCM

Prime factorization:

300 = 2² × 3 × 5²
270 = 2 × 3³ × 5
9 = 3²

LCM = 2² × 3³ × 5² = 2700

Dividing by 100:

LCM = 2700/100 = 27

Therefore,

HCF = 0.03 and LCM = 27

Hence, the correct answer is Option A (0.03, 27).