Question

Three numbers are in the ratio 3 : 2 : 11, and their LCM is 3564. Their HCF is:

Asked in RRB NTPC (UG) CBT-I · 2026
LCM and HCF · Quantitative Aptitude
Exam PYQ4 Options
Quantitative AptitudeNumber SystemLCM and HCFHCFInteger BasedRRB NTPC (UG) CBT-I2026
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For arranging a rectangular floor or area using the largest possible identical square tiles, find the HCF of the length and breadth.

Correct AnswerCorrect option for this question
Option D — 54

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Understand Prime Factorisation and the Euclidean Algorithm to find HCF quickly and accurately.

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Questions Asked from HCF: Prime Factorisation & Euclidean Algorithm in Previous Exams

See how often HCF: Prime Factorisation & Euclidean Algorithm has appeared in previous-year questions across major government exams.

High Exam Frequency
15UPSC Questions Asked in These Years:2010, 2011, 2012, 2013, 2014, 2015, 2016, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2026
9SSC Questions Asked in These Years:2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026
8Railways Questions Asked in These Years:2016, 2018, 2021, 2022, 2023, 2024, 2025, 2026
15State PSC Questions Asked in These Years:2002, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025
HCF: Prime Factorisation & Euclidean Algorithm has appeared in 47 previous-year exam questions, most frequently in UPSC, State PSC and SSC.
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