Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

HCF and LCM

Question:

Calculate the HCF of $\frac{12}{5},\frac{14}{15}$ and $\frac{16}{17}$.

Options:

$\frac{4}{255}$

$\frac{3}{255}$

$\frac{2}{255}$

$\frac{1}{255}$

Correct Answer:

$\frac{2}{255}$

Explanation:

HCF of fraction = \(\frac{HCF\;of\;numerator}{LCM\; of\;denominator}\)

The given fractions are :  $\frac{12}{5},\frac{14}{15}$ and $\frac{16}{17}$.

LCM of 5, 15, 17 = 255

HCF of 12, 14, 16 = 2

The HCF of $\frac{12}{5},\frac{14}{15}$ and $\frac{16}{17}$. is = \(\frac{2}{255}\)