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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 607 · 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 12.
  2. 2.Find the HCF of 75 and 135.
  3. 3.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 40. What is the other number?
  4. 4.Find the LCM of 6 and 5.
  5. 5.Find the LCM of 4 and 14.
  6. 6.Find the HCF of 35 and 15.
  7. 7.Find the LCM of 3, 7 and 9.
  8. 8.Find the LCM of 2, 3 and 9.
  9. 9.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  10. 10.Find the LCM of 24 and 42.
  11. 11.Find the HCF of 99 and 55.
  12. 12.Find the HCF of 88 and 99.
  13. 13.Find the HCF of 126 and 70.
  14. 14.Find the HCF of 25 and 15.
  15. 15.Find the HCF of 10 and 8.
  16. 16.Find the LCM of 9 and 12.
  17. 17.Find the HCF of 49 and 56.
  18. 18.Find the LCM of 2, 9 and 10.
  19. 19.Find the LCM of 8, 10 and 5.
  20. 20.Find the LCM of 6 and 10.
  21. 21.Find the HCF of 9 and 6.
  22. 22.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  23. 23.Find the HCF of 36 and 45.
  24. 24.Find the HCF of 35 and 21.
  25. 25.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  26. 26.Find the HCF of 14 and 35.
  27. 27.Find the LCM of 30 and 48.
  28. 28.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  29. 29.Find the LCM of 2 and 7.
  30. 30.Find the LCM of 3, 14 and 12.
  31. 31.Find the LCM of 20 and 36.
  32. 32.Find the HCF of 77 and 66.
  33. 33.Find the LCM of 9, 3 and 13.
  34. 34.Find the LCM of 14 and 4.
  35. 35.Find the LCM of 7 and 5.
  36. 36.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  37. 37.Find the LCM of 7, 4 and 14.
  38. 38.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  39. 39.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 63. What is the other number?
  40. 40.Find the HCF of 60 and 105.

Answer key

  1. 6
  2. 15
  3. 48
  4. 30
  5. 28
  6. 5
  7. 63
  8. 18
  9. 10
  10. 168
  11. 11
  12. 11
  13. 14
  14. 5
  15. 2
  16. 36
  17. 7
  18. 90
  19. 40
  20. 30
  21. 3
  22. 18
  23. 9
  24. 7
  25. 27
  26. 7
  27. 240
  28. 35
  29. 14
  30. 84
  31. 180
  32. 11
  33. 117
  34. 28
  35. 35
  36. 35
  37. 28
  38. 15
  39. 56
  40. 15

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