SSC CGL MCQ Practice 2026

LCM and HCF Questions for SSC CGL (with Answers)

39 LCM and HCF MCQs from the Quantitative Aptitude section, with answers and short explanations.

Score: 0 / 0

Q1. What is the LCM of 36 and 12?

Show answer

Answer: C. 36

HCF(36, 12) = 12, so LCM = 36 × 12 / 12 = 36.

LCM and HCF · easy · Beginner Practice Set 1

Q2. What is the LCM of 8 and 12?

Show answer

Answer: D. 24

HCF(8, 12) = 4, so LCM = 8 × 12 / 4 = 24.

LCM and HCF · easy · Beginner Practice Set 2

Q3. Find the HCF of 49 and 77.

Show answer

Answer: D. 7

49 = 7 × 7, 77 = 7 × 11. Since 7 and 11 share no factor, HCF = 7.

LCM and HCF · easy · Beginner Practice Set 3

Q4. Find the HCF of 14 and 10.

Show answer

Answer: A. 2

14 = 2 × 7, 10 = 2 × 5. Since 7 and 5 share no factor, HCF = 2.

LCM and HCF · easy · Beginner Practice Set 4

Q5. Find the HCF of 16 and 56.

Show answer

Answer: A. 8

16 = 8 × 2, 56 = 8 × 7. Since 2 and 7 share no factor, HCF = 8.

LCM and HCF · easy · Beginner Practice Set 4

Q6. Find the HCF of 84 and 132.

Show answer

Answer: D. 12

84 = 12 × 7, 132 = 12 × 11. Since 7 and 11 share no factor, HCF = 12.

LCM and HCF · easy · Beginner Practice Set 5

Q7. Find the HCF of 45 and 99.

Show answer

Answer: D. 9

45 = 9 × 5, 99 = 9 × 11. Since 5 and 11 share no factor, HCF = 9.

LCM and HCF · easy · Beginner Practice Set 5

Q8. Find the HCF of 20 and 8.

Show answer

Answer: A. 4

20 = 4 × 5, 8 = 4 × 2. Since 5 and 2 share no factor, HCF = 4.

LCM and HCF · easy · Beginner Practice Set 6

Q9. Find the HCF of 27 and 99.

Show answer

Answer: D. 9

27 = 9 × 3, 99 = 9 × 11. Since 3 and 11 share no factor, HCF = 9.

LCM and HCF · easy · Beginner Practice Set 7

Q10. Find the HCF of 12 and 44.

Show answer

Answer: D. 4

12 = 4 × 3, 44 = 4 × 11. Since 3 and 11 share no factor, HCF = 4.

LCM and HCF · easy · Beginner Practice Set 7

Q11. Find the HCF of 35 and 15.

Show answer

Answer: D. 5

35 = 5 × 7, 15 = 5 × 3. Since 7 and 3 share no factor, HCF = 5.

LCM and HCF · easy · Beginner Practice Set 8

Q12. Find the HCF of 24 and 56.

Show answer

Answer: D. 8

24 = 8 × 3, 56 = 8 × 7. Since 3 and 7 share no factor, HCF = 8.

LCM and HCF · easy · Beginner Practice Set 10

Q13. Find the HCF of 15 and 6.

Show answer

Answer: D. 3

15 = 3 × 5, 6 = 3 × 2. Since 5 and 2 share no factor, HCF = 3.

LCM and HCF · easy · Beginner Practice Set 11

Q14. Find the HCF of 27 and 18.

Show answer

Answer: A. 9

27 = 9 × 3, 18 = 9 × 2. Since 3 and 2 share no factor, HCF = 9.

LCM and HCF · easy · Beginner Practice Set 12

Q15. What is the LCM of 15 and 4?

Show answer

Answer: A. 60

HCF(15, 4) = 1, so LCM = 15 × 4 / 1 = 60.

LCM and HCF · medium · Intermediate Practice Set 1

Q16. What is the HCF of 8 and 20?

Show answer

Answer: C. 4

Factors common to 8 and 20: the largest is 4.

LCM and HCF · medium · Intermediate Practice Set 2

Q17. What is the LCM of 4 and 9?

Show answer

Answer: D. 36

HCF(4, 9) = 1, so LCM = 4 × 9 / 1 = 36.

LCM and HCF · medium · Intermediate Practice Set 2

Q18. What is the least number which, when divided by 30, 8 and 25, leaves a remainder of 6 in each case?

Show answer

Answer: A. 606

LCM(30, 8, 25) = 600. Required number = 600 + 6 = 606.

LCM and HCF · medium · Intermediate Practice Set 3

Q19. What is the least number which, when divided by 18, 15 and 16, leaves a remainder of 2 in each case?

Show answer

Answer: D. 722

LCM(18, 15, 16) = 720. Required number = 720 + 2 = 722.

LCM and HCF · medium · Intermediate Practice Set 4

Q20. What is the least number which, when divided by 30, 18 and 6, leaves a remainder of 4 in each case?

Show answer

Answer: C. 94

LCM(30, 18, 6) = 90. Required number = 90 + 4 = 94.

LCM and HCF · medium · Intermediate Practice Set 4

Q21. What is the least number which, when divided by 8, 12 and 15, leaves a remainder of 6 in each case?

Show answer

Answer: A. 126

LCM(8, 12, 15) = 120. Required number = 120 + 6 = 126.

LCM and HCF · medium · Intermediate Practice Set 5

Q22. What is the least number which, when divided by 25, 16 and 10, leaves a remainder of 1 in each case?

Show answer

Answer: D. 401

LCM(25, 16, 10) = 400. Required number = 400 + 1 = 401.

LCM and HCF · medium · Intermediate Practice Set 6

Q23. What is the least number which, when divided by 12, 6 and 8, leaves a remainder of 4 in each case?

Show answer

Answer: C. 28

LCM(12, 6, 8) = 24. Required number = 24 + 4 = 28.

LCM and HCF · medium · Intermediate Practice Set 6

Q24. What is the least number which, when divided by 25, 6 and 9, leaves a remainder of 2 in each case?

Show answer

Answer: D. 452

LCM(25, 6, 9) = 450. Required number = 450 + 2 = 452.

LCM and HCF · medium · Intermediate Practice Set 7

Q25. What is the least number which, when divided by 16, 6 and 18, leaves a remainder of 1 in each case?

Show answer

Answer: B. 145

LCM(16, 6, 18) = 144. Required number = 144 + 1 = 145.

LCM and HCF · medium · Intermediate Practice Set 7

Q26. What is the least number which, when divided by 9, 18 and 12, leaves a remainder of 1 in each case?

Show answer

Answer: A. 37

LCM(9, 18, 12) = 36. Required number = 36 + 1 = 37.

LCM and HCF · medium · Intermediate Practice Set 8

Q27. What is the least number which, when divided by 6, 15 and 30, leaves a remainder of 5 in each case?

Show answer

Answer: A. 35

LCM(6, 15, 30) = 30. Required number = 30 + 5 = 35.

LCM and HCF · medium · Intermediate Practice Set 10

Q28. What is the least number which, when divided by 24, 10 and 6, leaves a remainder of 3 in each case?

Show answer

Answer: C. 123

LCM(24, 10, 6) = 120. Required number = 120 + 3 = 123.

LCM and HCF · medium · Intermediate Practice Set 12

Q29. What is the LCM of 12 and 24?

Show answer

Answer: C. 24

HCF(12, 24) = 12, so LCM = 12 × 24 / 12 = 24.

LCM and HCF · hard · Advanced PYQ Pattern Paper 2023

Q30. What is the HCF of 9 and 8?

Show answer

Answer: D. 1

Factors common to 9 and 8: the largest is 1.

LCM and HCF · hard · Advanced Practice Set 2

Q31. The HCF of two numbers is 15 and their LCM is 150. If one of the numbers is 30, find the other.

Show answer

Answer: D. 75

Other number = (15 × 150) / 30 = 75.

LCM and HCF · medium · Advanced Practice Set 3

Q32. The HCF of two numbers is 13 and their LCM is 182. If one of the numbers is 26, find the other.

Show answer

Answer: B. 91

Other number = (13 × 182) / 26 = 91.

LCM and HCF · medium · Advanced Practice Set 4

Q33. The HCF of two numbers is 12 and their LCM is 180. If one of the numbers is 36, find the other.

Show answer

Answer: A. 60

Other number = (12 × 180) / 36 = 60.

LCM and HCF · medium · Advanced Practice Set 4

Q34. The HCF of two numbers is 22 and their LCM is 462. If one of the numbers is 154, find the other.

Show answer

Answer: A. 66

Other number = (22 × 462) / 154 = 66.

LCM and HCF · medium · Advanced Practice Set 5

Q35. The HCF of two numbers is 11 and their LCM is 154. If one of the numbers is 22, find the other.

Show answer

Answer: B. 77

Other number = (11 × 154) / 22 = 77.

LCM and HCF · medium · Advanced Practice Set 5

Q36. The HCF of two numbers is 23 and their LCM is 483. If one of the numbers is 69, find the other.

Show answer

Answer: D. 161

Other number = (23 × 483) / 69 = 161.

LCM and HCF · medium · Advanced Practice Set 6

Q37. The HCF of two numbers is 12 and their LCM is 120. If one of the numbers is 24, find the other.

Show answer

Answer: D. 60

Other number = (12 × 120) / 24 = 60.

LCM and HCF · medium · Advanced Practice Set 6

Q38. The HCF of two numbers is 7 and their LCM is 70. If one of the numbers is 14, find the other.

Show answer

Answer: B. 35

Other number = (7 × 70) / 14 = 35.

LCM and HCF · medium · Advanced Practice Set 7

Q39. The HCF of two numbers is 5 and their LCM is 105. If one of the numbers is 35, find the other.

Show answer

Answer: B. 15

Other number = (5 × 105) / 35 = 15.

LCM and HCF · medium · Advanced Practice Set 9

More Quantitative Aptitude topics