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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 689 · 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 4 and their LCM is 80. One of the numbers is 16. What is the other number?
  2. 2.Find the LCM of 12 and 32.
  3. 3.Find the HCF of 77 and 99.
  4. 4.Find the LCM of 3, 14 and 8.
  5. 5.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 16. What is the other number?
  6. 6.Find the HCF of 44 and 99.
  7. 7.Find the LCM of 21 and 9.
  8. 8.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  9. 9.Find the LCM of 42 and 18.
  10. 10.Find the LCM of 28 and 32.
  11. 11.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 45. What is the other number?
  12. 12.Find the LCM of 4 and 10.
  13. 13.Find the LCM of 4, 12 and 9.
  14. 14.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  15. 15.Find the HCF of 120 and 75.
  16. 16.Find the LCM of 10 and 4.
  17. 17.Find the HCF of 16 and 28.
  18. 18.Find the LCM of 9, 15 and 10.
  19. 19.Find the LCM of 27 and 24.
  20. 20.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  21. 21.Find the LCM of 4, 10 and 6.
  22. 22.Find the LCM of 5, 2 and 4.
  23. 23.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  24. 24.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  25. 25.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?
  26. 26.Find the HCF of 24 and 16.
  27. 27.Find the HCF of 90 and 50.
  28. 28.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  29. 29.Find the LCM of 12 and 10.
  30. 30.Find the LCM of 2, 13 and 12.
  31. 31.Find the LCM of 4 and 3.
  32. 32.Find the HCF of 30 and 20.
  33. 33.Find the HCF of 98 and 70.
  34. 34.Find the HCF of 28 and 70.
  35. 35.Find the HCF of 18 and 42.
  36. 36.Find the HCF of 75 and 105.
  37. 37.Find the HCF of 70 and 42.
  38. 38.Find the LCM of 10, 14 and 2.
  39. 39.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  40. 40.Find the LCM of 8, 2 and 7.

Answer key

  1. 20
  2. 96
  3. 11
  4. 168
  5. 56
  6. 11
  7. 63
  8. 18
  9. 126
  10. 224
  11. 54
  12. 20
  13. 36
  14. 9
  15. 15
  16. 20
  17. 4
  18. 90
  19. 216
  20. 36
  21. 60
  22. 20
  23. 4
  24. 21
  25. 32
  26. 8
  27. 10
  28. 14
  29. 60
  30. 156
  31. 12
  32. 10
  33. 14
  34. 14
  35. 6
  36. 15
  37. 14
  38. 70
  39. 36
  40. 56

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