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Hcf And Lcm Questions

Practice 22 Hcf And Lcm questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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21
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Practice by Exam:Quantitative Aptitude(22)

About HCF and LCM — practice questions, PYQs & concepts

HCF and LCM is a frequently-tested topic on Quantitative Aptitude. ExamTest.live currently lists 22 HCF and LCM questions spanning previous-year papers from 2026 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year — every answer key is free, no sign-up required.

HCF and LCM weight in competitive exams

Across our HCF and LCM question bank, the largest sources are Quantitative Aptitude (22). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 0 easy HCF and LCM questions are available — build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
  • Time yourself: Every question shows the average solve time so you can benchmark your speed against other students.
  • Read every explanation: Even on questions you got right — the explanation often surfaces a faster approach you can reuse.

All Hcf And Lcm Questions(1–22 of 22)

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Q1mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The sum of the two numbers is and their HCF is . How many pairs of these numbers are possible?
Q2mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
An officer of the army wants to arrange his soldiers to stand in rows of and . If he wants to arrange them in a solid square also, then find the minimum number of soldiers.
Q3mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
Find the smallest number which will be completely divisible by and .
Q4mediummcqQuantitative AptitudeUP Police Constable2026
50% accuracy
Find the HCF of .
Q5mediummcqQuantitative AptitudeCompetitive Exam2026
50% accuracy
Find the smallest number which when divided by , , , and leaves the remainder in each case.
Q6mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
Find the HCF of .
Q7mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The greatest number which divides and , leaves remainder and respectively is:
Q8mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
Three pieces of aluminium rod of different lengths, , and respectively, are given to a boy. He has to cut them into rods of same length such that no aluminium waste is left. The maximum length (in cm) of such rod will be:
Q9mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
The greatest number that divides and leaving remainders and , respectively, is:
Q10mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
Two numbers are in the ratio and their HCF is . If one number is , then find the other number.
Q11mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
The LCM of two numbers is times their HCF. The sum of HCF and LCM is . If one of the numbers is , then find the other number.
Q12mediummcqQuantitative AptitudePractice Test2026
The greatest number that divides , and leaving the same remainder is:
Q13mediummcqQuantitative AptitudeCompetitive Exam2026
A number is three times another number and their HCF is 8. What is the sum of the squares of the numbers?
Q14mediummcqQuantitative AptitudePractice Test2026
What is the smallest number which when divided by , and leaves a remainder of in each case?
Q15hardmcqQuantitative AptitudeSSC CGL2026
Let be the least multiple of which when divided by and leaves the remainders and respectively. What is the sum of digits of ?
Q16mediummcqQuantitative AptitudeCompetitive Exam2026
Find the greatest number of four digits which is divisible by 14, 30 and 42.
Q17mediummcqQuantitative AptitudeCompetitive Exam2026
Find the HCF of .
Q18mediummcqQuantitative AptitudePractice Test2026
The HCF of two numbers is and their LCM is . If one number is , what is the other number?
Q19mediummcqQuantitative AptitudeCompetitive Exam2026
Find the Least Common Multiple (LCM) of the fractions and .
Q20mediummcqQuantitative AptitudeCompetitive Exam2026
Two numbers are in the ratio of and their HCF is . Find their LCM.
Q21mediummcqQuantitative AptitudeCompetitive Exam2026
The HCF of two numbers and is . Find their LCM.
Q22mediummcqQuantitative AptitudeCompetitive Exam2026
Find the HCF of .

Frequently Asked Questions

How many Hcf And Lcm questions are on ExamTest.live?▼
We have 22 Hcf And Lcm questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Hcf And Lcm MCQs free?▼
Yes. All Hcf And Lcm questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Hcf And Lcm questions?▼
Hcf And Lcm questions are commonly asked in Quantitative Aptitude. You can filter by exam using the links above.
How do I practice Hcf And Lcm questions effectively?▼
Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.