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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 193 · 40 questions
TalentJR

The method (Prime factors): Write each number as a product of primes: 36 = 2 × 2 × 3 × 3. HCF: multiply the primes the numbers share (each as many times as it appears in both). LCM: take every prime the greatest number of times it appears. For two numbers, HCF × LCM = first number × second number.

NameDateTime takenScore ___ / 40
  1. 1.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  2. 2.Find the LCM of 10, 2 and 3.
  3. 3.Find the HCF of 27 and 21.
  4. 4.Find the HCF of 99 and 44.
  5. 5.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  6. 6.Find the HCF of 90 and 80.
  7. 7.Find the LCM of 12 and 27.
  8. 8.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  9. 9.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  10. 10.Find the HCF of 30 and 105.
  11. 11.Find the LCM of 6, 3 and 15.
  12. 12.Find the HCF of 39 and 65.
  13. 13.Find the LCM of 30 and 24.
  14. 14.Find the LCM of 25 and 30.
  15. 15.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  16. 16.Find the LCM of 42 and 12.
  17. 17.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  18. 18.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 24. What is the other number?
  19. 19.Find the HCF of 25 and 30.
  20. 20.Find the LCM of 2, 10 and 8.
  21. 21.Find the HCF of 45 and 54.
  22. 22.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  23. 23.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  24. 24.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  25. 25.Find the LCM of 4, 15 and 2.
  26. 26.Find the LCM of 4, 2 and 6.
  27. 27.Find the LCM of 42 and 30.
  28. 28.Find the LCM of 14 and 10.
  29. 29.Find the LCM of 9, 14 and 6.
  30. 30.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  31. 31.Find the HCF of 77 and 99.
  32. 32.Find the LCM of 13, 2 and 12.
  33. 33.Find the HCF of 45 and 30.
  34. 34.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 16. What is the other number?
  35. 35.Find the LCM of 5 and 4.
  36. 36.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  37. 37.Find the HCF of 45 and 120.
  38. 38.Find the HCF of 91 and 117.
  39. 39.Find the HCF of 12 and 9.
  40. 40.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?

Answer key

  1. 42
  2. 30
  3. 3
  4. 11
  5. 28
  6. 10
  7. 108
  8. 10
  9. 8
  10. 15
  11. 30
  12. 13
  13. 120
  14. 150
  15. 28
  16. 84
  17. 64
  18. 54
  19. 5
  20. 40
  21. 9
  22. 21
  23. 27
  24. 35
  25. 60
  26. 12
  27. 210
  28. 70
  29. 126
  30. 15
  31. 11
  32. 156
  33. 15
  34. 10
  35. 20
  36. 12
  37. 15
  38. 13
  39. 3
  40. 14

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