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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 501 · 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 105 and 90.
  2. 2.Find the HCF of 65 and 39.
  3. 3.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?
  4. 4.Find the HCF of 117 and 52.
  5. 5.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  6. 6.Find the HCF of 54 and 24.
  7. 7.Find the LCM of 10, 3 and 2.
  8. 8.Find the HCF of 27 and 24.
  9. 9.Find the HCF of 30 and 50.
  10. 10.Find the LCM of 6 and 16.
  11. 11.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  12. 12.Find the LCM of 18 and 42.
  13. 13.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  14. 14.Find the LCM of 2, 11 and 14.
  15. 15.Find the LCM of 36 and 20.
  16. 16.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  17. 17.Find the LCM of 7, 14 and 6.
  18. 18.Find the LCM of 10, 9 and 3.
  19. 19.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  20. 20.Find the LCM of 15 and 9.
  21. 21.Find the LCM of 35 and 15.
  22. 22.Find the LCM of 3, 12 and 9.
  23. 23.Find the HCF of 84 and 70.
  24. 24.Find the HCF of 12 and 28.
  25. 25.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  26. 26.Find the LCM of 4 and 18.
  27. 27.Find the LCM of 15 and 40.
  28. 28.Find the HCF of 16 and 72.
  29. 29.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  30. 30.Find the HCF of 28 and 35.
  31. 31.Find the LCM of 16 and 28.
  32. 32.Find the HCF of 45 and 63.
  33. 33.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  34. 34.Find the LCM of 20 and 32.
  35. 35.Find the LCM of 7, 13 and 2.
  36. 36.Find the HCF of 77 and 66.
  37. 37.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  38. 38.Find the LCM of 2, 13 and 12.
  39. 39.Find the HCF of 60 and 70.
  40. 40.Find the LCM of 12, 4 and 15.

Answer key

  1. 15
  2. 13
  3. 48
  4. 13
  5. 6
  6. 6
  7. 30
  8. 3
  9. 10
  10. 48
  11. 16
  12. 126
  13. 21
  14. 154
  15. 180
  16. 10
  17. 42
  18. 90
  19. 24
  20. 45
  21. 105
  22. 36
  23. 14
  24. 4
  25. 18
  26. 36
  27. 120
  28. 8
  29. 6
  30. 7
  31. 112
  32. 9
  33. 64
  34. 160
  35. 182
  36. 11
  37. 15
  38. 156
  39. 10
  40. 60

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