Question

A teacher has 84 chocolates and 108 candies. She wants to distribute them equally among the maximum number of students so that each student gets the same number of chocolates and the same number of candies. Find the maximum number of students and how many chocolates and candies each will get.

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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Quick Revision

Do not confuse HCF with LCM: use HCF when looking for the greatest value that divides all quantities, and LCM when looking for the smallest value divisible by all quantities.

Correct AnswerCorrect option for this question
Option A — 12 students; 7 chocolates and 9 candies

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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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