Question : What is the HCF of $\frac{4}{5}, \frac{6}{8}, \frac{8}{25}?$
Option 1: $\frac{1}{100}$
Option 2: $\frac{1}{5}$
Option 3: $\frac{1}{50}$
Option 4: $\frac{1}{200}$
Correct Answer: $\frac{1}{100}$
Solution :
HCF of $\frac{4}{5}, \frac{6}{8}, \frac{8}{25} =\frac{\text{HCF of numerator}}{\text{LCM of denominator}}$
HCF of numerator (i.e. 4, 6 and 8) = 2
LCM of denominator (i.e. 5, 8 and 25) = 200
So, the HCF of $\frac{4}{5}, \frac{6}{8}, \frac{8}{25} =\frac{2}{200} =\frac{1}{100}$
Hence, the correct answer is $\frac{1}{100}$.
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