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What is the HCF of \(\frac{4 }{5 },\frac{ 8}{ 15},\frac{ 2}{35 }?\)

This question was previously asked in
SSC GD Constable (2022) Official Paper (Held On : 12 Jan 2023 Shift 2)
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  1. \(\frac{2 }{525 }\)
  2. \(\frac{ 2}{105 }\)
  3. \(\frac{4 }{105 }\)
  4. \(\frac{2 }{ 75}\)

Answer (Detailed Solution Below)

Option 2 : \(\frac{ 2}{105 }\)
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Detailed Solution

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Given

The fractions 4/5, 8/15, and 2/35

Concept:

To find the HCF (Highest Common Factor) of fractions, we find the HCF of the numerators and the LCM (Least Common Multiple) of the denominators.

Calculation:

HCF of numerators 4, 8, and 2 = 2

⇒ LCM of denominators 5, 15, and 35 = 105

Hence, HCF of 4/5, 8/15, and 2/35 is 2/105.

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Latest SSC GD Constable Updates

Last updated on Jul 8, 2025

-> The Staff Selection Commission released the SSC GD 2025 Answer Key on 26th June 2025 on the official website.

-> The SSC GD Notification 2026 will be released in October 2025 and the exam will be scheduled in the month of January and February 2026.

-> Now the total number of vacancy is 53,690. Previously, SSC GD 2025 Notification was released for 39481 Vacancies. 

-> The selection process includes CBT, PET/PST, Medical Examination, and Document Verification.

-> The candidates who will be appearing for the 2026 cycle in the exam must attempt the SSC GD Constable Previous Year Papers. Also, attempt SSC GD Constable Mock Tests.

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