JIPMAT 2021 (QA) - The HCF of (9/10, 12/25, 18/35, 21/40) is | PYQs + Solutions

JIPMAT 2021

Number System

HCF & LCM

Conceptual

The HCF of $(\frac{9}{10}, \frac{12}{25}, \frac{18}{35}, \frac{21}{40})$ is

\frac{3}{5}

\frac{252}{5}

\frac{63}{700}

\frac{3}{1400}

Correct Option: 4

For fractions

\dfrac{a_1}{b_1}, \dfrac{a_2}{b_2}, ..., \dfrac{a_n}{b_n}

, the HCF formula is

\dfrac{HCF(a_1, a_2, ..., a_n)}{LCM(b_1, b_2, ..., b_n)}

Given fractions are

\frac{9}{10}, \frac{12}{25}, \frac{18}{35}, \frac{21}{40}

HCF of numerators (9, 12, 18, 21) = 3, and LCM of denominators (10, 25, 35, 40) = 1400.

Therefore, the HCF:

\frac{3}{1400}