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NCHMCT JEE 2024 Solved Paper

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Question : 8 of 200

Marks: +1, -0

What is the HCF of

\frac{8}{5}, \frac{6}{8}, \frac{4}{25}

?

$\frac{1}{5}$
$\frac{1}{50}$
$\frac{1}{100}$
$\frac{1}{200}$

Solution:

Concept:

HCF of fractions =

\frac{\text{HCF of numerators}}{\text{LCM of denominators}}

after reducing each fraction to its lowest form.

Explanation:

Write each fraction in simplest form:

\frac{8}{5}

,

\frac{6}{8} = \frac{3}{4}

,

\frac{4}{25}

.

HCF of numerators

8, 3, 4

is

1

.

LCM of denominators

5, 4, 25

is

100

.

Thus, HCF

= \frac{1}{100}

.

Answer:

\frac{1}{100}

, i.e. option C.

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