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SSC HCF LCM Questions, Download PDF

SSC HCF LCM Questions are an important part of the Quantitative Aptitude section in SSC CGL, SSC CHSL, SSC MTS, GD, and other SSC exams. They include topics like factors, multiples, prime factorization, and shortcut tricks that are essential for scoring well. Candidates can download SSC HCF LCM Questions PDFs in English and Hindi for complete practice.
authorImageNeha Tanna6 Nov, 2025
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SSC HCF LCM Questions

SSC HCF LCM Questions: Preparing SSC CGL HCF LCM questions and SSC CHSL HCF LCM questions, along with SSC GD HCF LCM questions and SSC MTS HCF LCM questions, is very important to score well in the Quantitative Aptitude section of SSC exams. HCF and LCM-related questions are frequently asked because they test a candidate’s basic understanding of numbers and their applications in real-life mathematical situations.

Candidates should learn essential SSC HCF LCM Tricks, shortcuts, and formulas to solve problems quickly within the given time. Practicing previous year questions and taking SSC HCF LCM Quiz tests regularly will improve both speed and accuracy. A quick daily revision of concepts like prime factorization and number theory helps you retain this topic better and score more marks in SSC exams.

SSC HCF LCM Questions PDF

Below, we have provided a PDF containing important SSC HCF LCM Questions in both Hindi and English to help you prepare for SSC exams. These SSC Maths questions cover a wide range of topics, including SSC CGL HCF LCM questions, SSC CHSL HCF LCM questions, and SSC GD HCF LCM questions frequently asked in exams. 

Use this SSC HCF LCM Questions PDF download to strengthen your preparation for the Quantitative Aptitude section and improve your speed and accuracy in solving number system problems.

SSC HCF LCM Questions PDF 

SSC HCF LCM Questions PDF in English

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SSC HCF LCM Questions PDF in Hindi

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SSC HCF LCM Questions Tricks for Quick Revision

SSC HCF LCM Questions play a crucial role in SSC CGL, SSC CHSL, SSC GD, SSC MTS, and other SSC exams. Mastering this topic helps you score well in the Quantitative Aptitude section because HCF (Highest Common Factor) and LCM (Least Common Multiple) are commonly asked number system questions.

Here are some SSC HCF LCM Tricks for Quick Revision to help you answer SSC CGL HCF LCM questions and SSC CHSL HCF LCM questions easily in your exam:

SSC HCF LCM Questions Tricks for Quick Revision

Particulars

Quick Tricks / Methods for SSC Exams

HCF (Highest Common Factor)

Use prime factorisation → multiply common prime factors with the lowest power.

LCM (Least Common Multiple)

Multiply all prime factors taking the highest power.

Relation between HCF & LCM

Use shortcut ⇒ HCF × LCM = Product of Numbers (only for 2 numbers).

Shortcut for 3 Numbers

Apply pairwise method: HCF(AB, C) or LCM(AB, C).

Co-prime Numbers

If numbers are co-prime: HCF = 1 and LCM = Product of numbers.

Word Problems (Time/Distance/Work)

Convert into number-based problems → apply LCM for synchronizing operations.

Fractions Questions

Use: HCF = HCF of Numerators / LCM of Denominators

Factor & Multiple Recognition

If one number divides another → HCF = smaller, LCM = larger.

When given LCM & HCF

Use formula to find missing numbers quickly.

Practice Strategy

Try daily SSC HCF LCM Quiz to boost speed before the exam.

SSC HCF LCM Questions 

Check below the most important SSC HCF and LCM questions for SSC CGL, SSC CHSL, SSC GD, and SSC MTS exams. Practice these questions to improve speed, accuracy, and score high in the Quantitative Aptitude section:

Q1. The LCM of the three numbers 45, 30, and 35 is:
(A) 630
(B) 420
(C) 180
(D) 840

Q2. The HCF of 42,63, and 105 is:
((A) 7
(B) 630
(C) 63
(D) 21

Q3. The HCF of 36,54, and 108 is:
(A) 6
(B) 9
(C) 18
(D) 12

Q4. Find the LCM of 34,85, and 102.
(A) 340
(B) 680
(C) 510
(D) 1020

Q5. The ratio of two numbers is 4:5, and their HCF is 6. Their LCM is:
(A) 120
(B) 88
(C) 168
(D) 72

Q6. If K1 and K2 are two distinct prime numbers, what is the product of HCF and LCM?
(A) 1 

(B) K1/K2 

(C) K1 + K2 

(D) K1 × K2

Q7. The LCM of two numbers is 120, and the numbers are in ratio 3 : 8. Sum of numbers is:
(A) 48
(B) 55
(C) 45
(D) 60

Q8. Two numbers, both greater than 29, have HCF 29 and LCM 4147. Sum of numbers?
(A) 678 

(B) 696 

(C) 566 

(D) 596

Q9. Two numbers are in ratio 6 : 5. HCF = 3. Find LCM.
(A) 64 

(B) 110 

(C) 90 

(D) 80

Q10. 5 bells ring at intervals 12, 18, 24, 36, 45s starting at 9 AM. When again together?
(A) 9:10 AM 

(B) 9:06 AM 

(C) 9:08 AM 

(D) 9:05 AM

Q11. Greatest number that divides 415, 688, 825, leaving 7, 8, 9 as remainders:
(A) 136 

(B) 126 

(C) 132 

(D) 142

Q12. Two numbers in ratio 19:17 and HCF = 11. Find numbers:
(A) 221,247 

(B) 1700,1900 

(C) 209,187 

(D) 190,170

Q13. Choose correct statement:
(A) HCF is least common multiple
(B) HCF perfectly divides all numbers
(C) HCF is least common divisor
(D) Multiples are listed in prime factorisation

Q14. Least number to add to 4707 to make divisible by 4,5,6 & 8:
(A) 83 

(B) 73 

(C) 63 

(D) 93

Q15. Greatest 5-digit number divisible by 15, 20, 24 & 30:
(A) 99890 

(B) 99960 

(C) 99910 

(D) 99870

Q16. Least number such that when ÷ 15, 18, 36 remainder is 9; also divisible by 11. Sum of digits?
(A) 16 

(B) 17 

(C) 15 

(D) 18

Q17. Number divided by 3,4,6,15,20 leaves rem 1. It is greatest 3-digit number. Sum of digits?
(A) 10 

(B) 15 

(C) 13 

(D) 16

Q18. Greatest number dividing 126,224,608 leaving remainders 2,7,19:
(A) 27 

(B) 31 

(C) 21 

(D) 37

Q19. Least number which when doubled divisible by 15,18,25,32:
(A) 3600 

(B) 7200 

(C) 6400 

(D) 3200

Q20. Find HCF of 11/25 , 9/20 , 16/15 , 10/33
(A) 1/3300 

(B) 1/300 

(C) 1/33

(D) 1/3000

Benefits of Solving SSC HCF LCM Questions 

Practicing SSC HCF LCM Questions regularly helps candidates strengthen their understanding of number system concepts like factors, multiples, prime factorization, HCF, and LCM. It improves calculation speed, boosts accuracy, and builds confidence to solve Quantitative Aptitude questions asked in SSC CGL, SSC CHSL, SSC MTS, GD, and other SSC exams. Here are some key benefits of solving SSC HCF LCM Questions from practice sets and PDFs:

• Regular practice helps candidates master concepts such as HCF using factorization, LCM using the highest power of primes, and application-based problems in time, work, and calendar topics frequently asked in SSC exams.

• By solving previous year papers and SSC CGL HCF LCM questions and SSC CHSL HCF LCM questions, candidates become familiar with question patterns, difficulty level, and frequently repeated types of numerical problems.

• Practicing SSC HCF LCM Questions improves accuracy and quick mental calculation during the exam, while also helping identify weak areas that need additional revision.

• Attempting quizzes and mock tests based on SSC HCF LCM Tricks helps in better time management and allows candidates to evaluate their preparation level effectively.

 

FAQs on SSC HCF LCM Questions

What topics are covered in SSC HCF LCM Questions?

SSC HCF LCM includes factors, multiples, prime factorization, HCF & LCM rules, shortcut tricks, and application-based questions from SSC CGL, CHSL, MTS, and GD exams.

How does solving SSC HCF LCM Questions help in SSC exams?

It improves numerical ability, calculation speed, logical reasoning, and accuracy in the Quantitative Aptitude section, helping candidates score better in competitive exams.

Where can I download SSC HCF LCM Questions PDFs?

Candidates can download SSC HCF LCM Questions PDFs from here.

Why are HCF and LCM questions important for SSC exams?

These questions are frequently asked to check mathematical fundamentals and ability to apply concepts in areas like time, work, and calendar problems.
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