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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 620 · 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.Find the HCF of 15 and 18.
  2. 2.Find the LCM of 11, 6 and 12.
  3. 3.Find the LCM of 6 and 5.
  4. 4.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 24. What is the other number?
  5. 5.Find the LCM of 2 and 9.
  6. 6.Find the LCM of 9, 10 and 2.
  7. 7.Find the LCM of 4 and 10.
  8. 8.Find the HCF of 35 and 30.
  9. 9.Find the LCM of 16 and 36.
  10. 10.Find the HCF of 12 and 20.
  11. 11.Find the HCF of 98 and 42.
  12. 12.Find the HCF of 60 and 84.
  13. 13.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  14. 14.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  15. 15.Find the HCF of 84 and 60.
  16. 16.Find the LCM of 3, 13 and 5.
  17. 17.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  18. 18.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 21. What is the other number?
  19. 19.Find the HCF of 117 and 91.
  20. 20.Find the HCF of 21 and 27.
  21. 21.Find the LCM of 5 and 3.
  22. 22.Find the LCM of 8, 11 and 2.
  23. 23.Find the LCM of 7, 4 and 2.
  24. 24.Find the LCM of 25 and 40.
  25. 25.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 32. What is the other number?
  26. 26.Find the LCM of 7, 2 and 12.
  27. 27.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  28. 28.Find the LCM of 9 and 24.
  29. 29.Find the HCF of 20 and 24.
  30. 30.Find the LCM of 2, 10 and 3.
  31. 31.Find the LCM of 3, 7 and 11.
  32. 32.Find the LCM of 8 and 12.
  33. 33.Find the LCM of 5, 15 and 8.
  34. 34.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 64. What is the other number?
  35. 35.Find the LCM of 4, 5 and 12.
  36. 36.Find the LCM of 4, 14 and 2.
  37. 37.Find the LCM of 8 and 10.
  38. 38.Find the LCM of 30 and 36.
  39. 39.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?
  40. 40.Find the HCF of 80 and 90.

Answer key

  1. 3
  2. 132
  3. 30
  4. 54
  5. 18
  6. 90
  7. 20
  8. 5
  9. 144
  10. 4
  11. 14
  12. 12
  13. 35
  14. 16
  15. 12
  16. 195
  17. 16
  18. 24
  19. 13
  20. 3
  21. 15
  22. 88
  23. 28
  24. 200
  25. 72
  26. 84
  27. 24
  28. 72
  29. 4
  30. 30
  31. 231
  32. 24
  33. 120
  34. 56
  35. 60
  36. 28
  37. 40
  38. 180
  39. 24
  40. 10

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