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Hcf And Lcm Questions

Practice 49 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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Practice by Exam:Quantitative Aptitude(45)Mathematics and Science(2)Mathematics(2)

About HCF and LCM — practice questions, PYQs & concepts

HCF and LCM is a frequently-tested topic on Quantitative Aptitude, Mathematics and Science, Mathematics. ExamTest.live currently lists 49 HCF and LCM questions spanning previous-year papers from 2018 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 (45), Mathematics and Science (2) and Mathematics (2). Click any exam chip above to drill down to that exam-specific question set.

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All Hcf And Lcm Questions(1–49 of 49)

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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 Exam Practice2026
33% 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:
Q3mediummcqQuantitative AptitudeCompetitive Exam Practice2026
33% accuracy
The greatest number that divides and leaving remainders and , respectively, is:
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 AptitudeSSC CGL2026
0% accuracy
HCF and LCM of two numbers are 19 and 969 respectively. If one number is 57, find the other number.
Q7mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The greatest number which divides and , leaves remainder and respectively is:
Q8mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
Find the HCF of .
Q9mediummcqQuantitative 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.
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 AptitudeWBCS Prelims2026
If , and , then find the value of:
Q12mediummcqQuantitative AptitudeCompetitive Examination2026
The of two numbers is and is . If one of the numbers is , the other number is:
Q13mediummcqMathematicsCompetitive Exams2026
The product of two numbers is and their is . The of the numbers is:
Q14mediummcqQuantitative AptitudeCompetitive Exam2026
The HCF and LCM of two numbers are and respectively. The bigger number is more than twice the smaller number. Find the smaller number.
Q15mediummcqQuantitative AptitudeCompetitive Exam2026
The HCF and LCM of numbers are and respectively. If one of the numbers is more than the other, find the smaller number.
Q16mediummcqQuantitative AptitudeUP Police Constable2026
Find the LCM of .
Q17mediummcqQuantitative AptitudeUP Police Constable2026
Find the least number which when divided by and leaves the remainder in all cases.
Q18mediummcqQuantitative AptitudePractice Test2026
Find the LCM of and .
Q19mediummcqQuantitative AptitudePractice Test2026
Find the HCF of and .
Q20mediummcqQuantitative AptitudeCompetitive Exam2026
The greatest -digit number which is a perfect square is:
Q21mediummcqQuantitative AptitudeCompetitive Examination2026
Five bells ring at intervals of , , , and seconds respectively. If all the bells ring once together, after how long a period would the bells ring together again?
Q22mediummcqQuantitative AptitudeCompetitive Exam2026
The HCF of the fractions and is:
Q23mediummcqQuantitative AptitudeCompetitive Exam2026
Find the least possible 5-digit number which, when divided by each of and , leaves a remainder of .
Q24mediummcqQuantitative AptitudeCompetitive Exam2026
Find the largest possible number that may divide each of two numbers whose sum is , given that neither component number is zero or equal to each other.
Q25mediummcqQuantitative AptitudeCompetitive Exam2026
Find the HCF of .
Q26mediummcqQuantitative AptitudeWBCS Prelims2026
Three sets of books on Maths, Science and Social Studies have , and books in each set respectively. The books need to be stacked in such a way that all the books are stacked subject-wise and number of books in each stack is same. The total minimum number of stacks will then be,
Q27mediummcqQuantitative AptitudeWBCS Prelims2026
A room is long and wide. If its floor is to be covered by square tiles, how many minimum number of tiles will be required?
Q28mediummcqQuantitative AptitudeWBCS Prelims2026
The least number which when divided by and leaves a remainder of in each division is
Q29mediummcqQuantitative AptitudeWBCS Prelims2026
If is a prime number, the LCM of and is
Q30mediummcqQuantitative AptitudeCompetitive Exam2026
A number is three times another number and their HCF is 8. What is the sum of the squares of the numbers?
Q31mediummcqQuantitative AptitudeCompetitive Exam2026
Find the HCF of .
Q32mediummcqQuantitative AptitudeCompetitive Exam2026
The HCF of two numbers and is . Find their LCM.
Q33mediummcqQuantitative AptitudeCompetitive Exam2026
Two numbers are in the ratio of and their HCF is . Find their LCM.
Q34mediummcqQuantitative AptitudeCompetitive Exam2026
Find the Least Common Multiple (LCM) of the fractions and .
Q35mediummcqQuantitative AptitudePractice Test2026
The greatest number that divides , and leaving the same remainder is:
Q36mediummcqQuantitative AptitudePractice Test2026
The HCF of two numbers is and their LCM is . If one number is , what is the other number?
Q37mediummcqQuantitative AptitudePractice Test2026
What is the smallest number which when divided by , and leaves a remainder of in each case?
Q38hardmcqQuantitative 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 ?
Q39mediummcqQuantitative AptitudeCompetitive Exam2026
Find the greatest number of four digits which is divisible by 14, 30 and 42.
Q40mediummcqQuantitative AptitudeCompetitive Exams2026
When we calculate the HCF of two numbers by the long division method, the last divisor is 2 and the successive quotients from first to last are 2, 4, and 2 respectively. Find these two numbers.
Q41mediummcqQuantitative AptitudePractice Test2026
The HCF of two numbers is and their LCM is . If one of the numbers is , what is the other number?
Q42mediummcqQuantitative AptitudeCompetitive Exam2026
Find the LCM of (Simplified as ).
Q43mediummcqMathematicsUP Police Constable2026
and are both positive integers, and so is . What is the largest possible value of ?
Q44easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
The ratio of two numbers is and their HCF is . Their LCM is
Q45mediummcqQuantitative AptitudeSSC CGL2026
If the sum of two numbers is 126 and their HCF and LCM are 7 and 180, respectively, then the sum of the reciprocals of the two numbers is:
Q46mediummcqQuantitative AptitudeSSC CGL2026
HCF and LCM of two numbers are 11 and 825 respectively. If one number is 275, find the other number.
Q47mediummcqQuantitative AptitudeCompetitive Exam2026
The greatest number which divides and , leaving remainder and respectively is:
Q48mediummcqQuantitative AptitudeCompetitive Exam2026
Find the HCF of .
Q49mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2018
Two numbers are in the ratio . The product of their HCF and LCM is . The sum of the numbers will be

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