correct answer is: a) \large\frac{3}{14}

Explanation

Here, Product of two fractions is \large\frac{27}{98}
And, their LCM be 1\large\frac{2}{7} or \large\frac{9}{7}
We know,
LCM \times HCF = Product of Two Numbers
\rightarrow\large\frac{9}{7}\times HCF =\large\frac{27}{98}
\rightarrow HCF =\large\frac{27}{98}\div\large\frac{9}{7}
\rightarrow HCF =\large\frac{27}{98}\times\large\frac{7}{9}
\rightarrow HCF =\large\frac{3}{14}
\therefore Their HCF is \large\frac{3}{14}
Ans: HCF \large\frac{3}{14}.

Other variants of this math particular question are:

1. Finding the highest common factor of fractions resulting in 27/98 when multiplied, given their LCM as 1 2/7.
2. What is the greatest common factor of two fractions whose multiplication yields 27/98, and their least common multiple is 1 2/7?
3. Find the greatest common divisor of two fractions resulting in 27/98 when multiplied, given their least common multiple as 1 2/7.