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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 616 · 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 98 and 112.
  2. 2.Find the LCM of 2, 15 and 12.
  3. 3.Find the LCM of 10, 5 and 6.
  4. 4.Find the LCM of 8 and 9.
  5. 5.Find the HCF of 42 and 28.
  6. 6.Find the LCM of 3, 11 and 2.
  7. 7.Find the LCM of 13, 5 and 3.
  8. 8.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  9. 9.Find the HCF of 99 and 44.
  10. 10.Find the HCF of 16 and 20.
  11. 11.Find the HCF of 105 and 120.
  12. 12.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  13. 13.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  14. 14.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 56. What is the other number?
  15. 15.Find the HCF of 30 and 12.
  16. 16.Find the HCF of 112 and 126.
  17. 17.Find the HCF of 28 and 63.
  18. 18.Find the LCM of 5, 14 and 2.
  19. 19.Find the HCF of 30 and 70.
  20. 20.Find the LCM of 12 and 27.
  21. 21.Find the LCM of 16 and 36.
  22. 22.Find the LCM of 3 and 2.
  23. 23.Find the LCM of 6, 14 and 15.
  24. 24.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  25. 25.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  26. 26.Find the LCM of 12 and 10.
  27. 27.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  28. 28.Find the HCF of 105 and 90.
  29. 29.Find the LCM of 9, 15 and 4.
  30. 30.Find the HCF of 20 and 45.
  31. 31.Find the LCM of 14 and 18.
  32. 32.Find the LCM of 36 and 30.
  33. 33.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  34. 34.Find the HCF of 50 and 40.
  35. 35.Find the LCM of 14, 4 and 7.
  36. 36.Find the LCM of 6, 2 and 11.
  37. 37.Find the LCM of 3 and 4.
  38. 38.Find the LCM of 2, 14 and 5.
  39. 39.Find the HCF of 14 and 16.
  40. 40.Find the HCF of 55 and 77.

Answer key

  1. 14
  2. 60
  3. 30
  4. 72
  5. 14
  6. 66
  7. 195
  8. 25
  9. 11
  10. 4
  11. 15
  12. 25
  13. 14
  14. 40
  15. 6
  16. 14
  17. 7
  18. 70
  19. 10
  20. 108
  21. 144
  22. 6
  23. 210
  24. 18
  25. 18
  26. 60
  27. 21
  28. 15
  29. 180
  30. 5
  31. 126
  32. 180
  33. 32
  34. 10
  35. 28
  36. 66
  37. 12
  38. 70
  39. 2
  40. 11

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