Question

Find the HCF of $1\frac{2}{3}$ and $4\frac{1}{6}$.

• A. $\frac{6}{5}$
• B. $\frac{25}{6}$
• C. $\frac{5}{6}$
• D. $\frac{5}{3}$

Answer 1

The correct option is C

$\frac{5}{6}$

Given mixed fractions can be converted to improper fractions as shown below.
$1\frac{2}{3}=\frac{5}{3}$
$4\frac{1}{6}=\frac{25}{6}$
Highest common factor (HCF) of two or more numbers is the greatest number which divides each of them exactly.
HCF of fractions $=\frac{\text{HCF of numerators}}{\text{LCM of denominators}}$
HCF of numerators 5 and 25 = 5
LCM of denominators 3 and 6 = 6
$\therefore$ HCF of the given numbers $=\frac{5}{6}$