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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 593 · 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 8 and their LCM is 448. One of the numbers is 64. What is the other number?
  2. 2.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  3. 3.Find the LCM of 11, 5 and 3.
  4. 4.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 15. What is the other number?
  5. 5.Find the HCF of 12 and 15.
  6. 6.Find the HCF of 80 and 50.
  7. 7.Find the LCM of 12 and 14.
  8. 8.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  9. 9.Find the LCM of 7, 14 and 5.
  10. 10.Find the LCM of 8 and 18.
  11. 11.Find the HCF of 70 and 98.
  12. 12.Find the LCM of 4, 14 and 3.
  13. 13.Find the LCM of 4 and 7.
  14. 14.Find the HCF of 98 and 56.
  15. 15.Find the LCM of 6 and 4.
  16. 16.Find the LCM of 2, 4 and 13.
  17. 17.Find the HCF of 70 and 90.
  18. 18.Find the LCM of 2, 12 and 15.
  19. 19.Find the LCM of 6 and 16.
  20. 20.Find the HCF of 90 and 50.
  21. 21.Find the LCM of 6 and 9.
  22. 22.Find the LCM of 30 and 36.
  23. 23.Find the HCF of 65 and 91.
  24. 24.Find the HCF of 12 and 42.
  25. 25.Find the LCM of 6, 4 and 3.
  26. 26.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 63. What is the other number?
  27. 27.Find the HCF of 88 and 99.
  28. 28.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  29. 29.Find the LCM of 28 and 32.
  30. 30.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  31. 31.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  32. 32.Find the LCM of 15, 12 and 3.
  33. 33.Find the HCF of 45 and 75.
  34. 34.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  35. 35.Find the LCM of 2, 8 and 11.
  36. 36.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  37. 37.Find the HCF of 56 and 63.
  38. 38.Find the LCM of 36 and 30.
  39. 39.Find the LCM of 30 and 25.
  40. 40.Find the LCM of 2, 12 and 7.

Answer key

  1. 56
  2. 16
  3. 165
  4. 24
  5. 3
  6. 10
  7. 84
  8. 9
  9. 70
  10. 72
  11. 14
  12. 84
  13. 28
  14. 14
  15. 12
  16. 52
  17. 10
  18. 60
  19. 48
  20. 10
  21. 18
  22. 180
  23. 13
  24. 6
  25. 12
  26. 56
  27. 11
  28. 20
  29. 224
  30. 10
  31. 32
  32. 60
  33. 15
  34. 18
  35. 88
  36. 14
  37. 7
  38. 180
  39. 150
  40. 84

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