This question was previously asked in

DSSSB PRT General Section Official Paper - 14 Nov 2019 Shift 2

- 3/82
- 1/14
- 1/84
- 1/42

Option 3 : 1/84

**Formula used:**

\({\rm{H}}.{\rm{C}}.{\rm{F}}.{\rm{\;of\;fractions}} = \frac{{H.C.F.\;of\;numerator}}{{L.C.M.\;of\;denominator}}\)

**Calculation:**

\(\Rightarrow {\rm{H}}.{\rm{C}}.{\rm{F}}.{\rm{of\;}}\frac{3}{{4}},\frac{{5}}{{6}}\;and\;\frac{{6}}{7} = \frac{1}{{84}}\)

**∴ The Highest Common Factor of 3/4,5/6 and 6/7 is 1/84.**

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