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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 972 · 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 6.
  2. 2.Find the LCM of 15 and 20.
  3. 3.Find the LCM of 3, 2 and 10.
  4. 4.Find the HCF of 105 and 120.
  5. 5.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  6. 6.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  7. 7.Find the HCF of 55 and 77.
  8. 8.Find the HCF of 27 and 24.
  9. 9.Find the HCF of 35 and 40.
  10. 10.Find the LCM of 4 and 5.
  11. 11.Find the LCM of 7, 3 and 9.
  12. 12.Find the HCF of 40 and 90.
  13. 13.Find the LCM of 2, 9 and 7.
  14. 14.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  15. 15.Find the LCM of 8, 10 and 2.
  16. 16.Find the LCM of 14 and 18.
  17. 17.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  18. 18.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 10. What is the other number?
  19. 19.Find the LCM of 3, 7 and 10.
  20. 20.Find the LCM of 2, 3 and 5.
  21. 21.Find the LCM of 8, 7 and 2.
  22. 22.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 28. What is the other number?
  23. 23.Find the LCM of 18 and 15.
  24. 24.Find the LCM of 25 and 35.
  25. 25.Find the LCM of 18 and 10.
  26. 26.Find the LCM of 10, 2 and 4.
  27. 27.Find the LCM of 10, 3 and 15.
  28. 28.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  29. 29.Find the HCF of 112 and 42.
  30. 30.Find the HCF of 16 and 10.
  31. 31.Find the HCF of 42 and 49.
  32. 32.Find the LCM of 14, 9 and 7.
  33. 33.Find the HCF of 48 and 36.
  34. 34.Find the LCM of 6, 5 and 3.
  35. 35.Find the HCF of 55 and 99.
  36. 36.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  37. 37.Find the LCM of 12 and 21.
  38. 38.Find the HCF of 35 and 21.
  39. 39.Find the LCM of 7 and 6.
  40. 40.Find the HCF of 77 and 55.

Answer key

  1. 3
  2. 60
  3. 30
  4. 15
  5. 6
  6. 27
  7. 11
  8. 3
  9. 5
  10. 20
  11. 63
  12. 10
  13. 126
  14. 72
  15. 40
  16. 126
  17. 27
  18. 25
  19. 210
  20. 30
  21. 56
  22. 24
  23. 90
  24. 175
  25. 90
  26. 20
  27. 30
  28. 45
  29. 14
  30. 2
  31. 7
  32. 126
  33. 12
  34. 30
  35. 11
  36. 10
  37. 84
  38. 7
  39. 42
  40. 11

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