Question

Two numbers are in the ratio of 3 : 5. If the Highest Common Factor of the numbers is 18, then the sum of the numbers will be _____.

Asked in SSC GD Constable · 2026
LCM and HCF · Quantitative Aptitude
Exam PYQ4 Options
Quantitative AptitudeNumber SystemLCM and HCFHCFInteger BasedSSC GD Constable2026
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When several objects have to be divided into the largest possible equal groups with nothing left over, use the HCF of the given quantities.

Correct AnswerCorrect option for this question
Option A — 144

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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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