Question

The Least Common Multiple of two numbers is 84. Which of the following can be the Highest Common Factor of the two numbers?

Asked in SSC GD Constable · 2026
LCM and HCF · Quantitative Aptitude
Exam PYQ4 Options
Quantitative AptitudeNumber SystemLCM and HCFLCM and HCF BothPossibilitySSC GD Constable2026
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Quick Revision

The values \(x\) and \(y\) must be co-prime, so reject factor pairs having a common factor greater than 1.

Correct AnswerCorrect option for this question
Option B — 21

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Questions Asked from HCF & LCM: Word Problems Decoded in Previous Exams

See how often HCF & LCM: Word Problems Decoded has appeared in previous-year questions across major government exams.

High Exam Frequency
12UPSC Questions Asked in These Years:2010, 2011, 2013, 2014, 2016, 2017, 2020, 2021, 2022, 2023, 2024, 2026
9SSC Questions Asked in These Years:2016, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026
8Railways Questions Asked in These Years:2016, 2018, 2020, 2021, 2022, 2024, 2025, 2026
11State PSC Questions Asked in These Years:2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025
HCF & LCM: Word Problems Decoded has appeared in 40 previous-year exam questions, most frequently in UPSC, State PSC and SSC.
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