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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 802 · 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 56 and 21.
  2. 2.Find the LCM of 4, 5 and 15.
  3. 3.Find the LCM of 4, 3 and 14.
  4. 4.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  5. 5.Find the LCM of 28 and 20.
  6. 6.Find the LCM of 7, 2 and 5.
  7. 7.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  8. 8.Find the LCM of 42 and 30.
  9. 9.Find the HCF of 4 and 10.
  10. 10.Find the LCM of 15, 2 and 8.
  11. 11.Find the LCM of 4, 2 and 13.
  12. 12.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  13. 13.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 35. What is the other number?
  14. 14.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  15. 15.Find the HCF of 81 and 72.
  16. 16.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 45. What is the other number?
  17. 17.Find the HCF of 65 and 117.
  18. 18.Find the HCF of 63 and 28.
  19. 19.Find the LCM of 16 and 18.
  20. 20.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  21. 21.Find the LCM of 12 and 9.
  22. 22.Find the LCM of 13, 15 and 3.
  23. 23.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  24. 24.Find the HCF of 36 and 24.
  25. 25.Find the HCF of 28 and 35.
  26. 26.Find the HCF of 50 and 90.
  27. 27.Find the LCM of 8 and 18.
  28. 28.Find the LCM of 9, 2 and 5.
  29. 29.Find the LCM of 5, 11 and 15.
  30. 30.Find the LCM of 4, 3 and 9.
  31. 31.Find the LCM of 3, 6 and 11.
  32. 32.Find the HCF of 45 and 20.
  33. 33.Find the HCF of 50 and 30.
  34. 34.Find the LCM of 6 and 4.
  35. 35.Find the LCM of 14 and 16.
  36. 36.Find the HCF of 105 and 60.
  37. 37.Find the HCF of 20 and 16.
  38. 38.Find the HCF of 90 and 75.
  39. 39.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 30. What is the other number?
  40. 40.Find the LCM of 2, 10 and 13.

Answer key

  1. 7
  2. 60
  3. 84
  4. 6
  5. 140
  6. 70
  7. 14
  8. 210
  9. 2
  10. 120
  11. 52
  12. 9
  13. 20
  14. 10
  15. 9
  16. 63
  17. 13
  18. 7
  19. 144
  20. 21
  21. 36
  22. 195
  23. 9
  24. 12
  25. 7
  26. 10
  27. 72
  28. 90
  29. 165
  30. 36
  31. 66
  32. 5
  33. 10
  34. 12
  35. 112
  36. 15
  37. 4
  38. 15
  39. 54
  40. 130

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