Question
The Highest Common Factor of two numbers is 12 and their Least Common Multiple is 180. The ratio of the numbers is 5 : 3. What is the sum of the two numbers?
Asked in SSC GD Constable · 2026
LCM and HCF · Quantitative Aptitude
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If the HCF, LCM, and one of two numbers are given, the second number can be found using the HCF–LCM product relationship.
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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.
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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