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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 495 · 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 42 and 30.
  2. 2.Find the LCM of 12, 8 and 7.
  3. 3.Find the LCM of 9 and 24.
  4. 4.Find the LCM of 12, 4 and 2.
  5. 5.Find the LCM of 3, 6 and 15.
  6. 6.Find the LCM of 15 and 12.
  7. 7.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  8. 8.Find the LCM of 8 and 10.
  9. 9.Find the LCM of 16 and 28.
  10. 10.Find the LCM of 4 and 7.
  11. 11.Find the HCF of 15 and 35.
  12. 12.Find the HCF of 20 and 30.
  13. 13.Find the LCM of 12, 6 and 15.
  14. 14.Find the HCF of 90 and 20.
  15. 15.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  16. 16.Find the LCM of 30 and 25.
  17. 17.Find the LCM of 3 and 8.
  18. 18.Find the LCM of 54 and 42.
  19. 19.Find the LCM of 3, 10 and 5.
  20. 20.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  21. 21.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 27. What is the other number?
  22. 22.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  23. 23.Find the LCM of 15, 5 and 10.
  24. 24.Find the LCM of 2, 4 and 6.
  25. 25.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  26. 26.Find the HCF of 56 and 98.
  27. 27.Find the LCM of 16 and 14.
  28. 28.Find the HCF of 33 and 88.
  29. 29.Find the HCF of 63 and 14.
  30. 30.Find the LCM of 18 and 21.
  31. 31.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  32. 32.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  33. 33.Find the HCF of 81 and 72.
  34. 34.Find the LCM of 4, 7 and 12.
  35. 35.Find the LCM of 15 and 35.
  36. 36.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  37. 37.Find the LCM of 16 and 6.
  38. 38.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  39. 39.Find the HCF of 91 and 78.
  40. 40.Find the HCF of 66 and 77.

Answer key

  1. 6
  2. 168
  3. 72
  4. 12
  5. 30
  6. 60
  7. 63
  8. 40
  9. 112
  10. 28
  11. 5
  12. 10
  13. 60
  14. 10
  15. 18
  16. 150
  17. 24
  18. 378
  19. 30
  20. 14
  21. 6
  22. 18
  23. 30
  24. 12
  25. 14
  26. 14
  27. 112
  28. 11
  29. 7
  30. 126
  31. 20
  32. 18
  33. 9
  34. 84
  35. 105
  36. 21
  37. 48
  38. 81
  39. 13
  40. 11

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