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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 169 · 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.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  2. 2.Find the HCF of 8 and 36.
  3. 3.Find the HCF of 33 and 55.
  4. 4.Find the LCM of 42 and 18.
  5. 5.Find the HCF of 24 and 60.
  6. 6.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  7. 7.Find the HCF of 28 and 12.
  8. 8.Find the HCF of 28 and 20.
  9. 9.Find the HCF of 63 and 28.
  10. 10.Find the LCM of 5 and 9.
  11. 11.Find the HCF of 4 and 18.
  12. 12.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  13. 13.Find the HCF of 48 and 40.
  14. 14.Find the LCM of 54 and 24.
  15. 15.Find the LCM of 3, 6 and 13.
  16. 16.Find the LCM of 3, 2 and 5.
  17. 17.Find the HCF of 72 and 63.
  18. 18.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  19. 19.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  20. 20.Find the HCF of 28 and 36.
  21. 21.Find the LCM of 13, 2 and 4.
  22. 22.Find the LCM of 14, 15 and 7.
  23. 23.Find the LCM of 14 and 18.
  24. 24.Find the LCM of 3, 5 and 2.
  25. 25.Find the HCF of 30 and 70.
  26. 26.Find the LCM of 15 and 9.
  27. 27.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  28. 28.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  29. 29.Find the HCF of 14 and 8.
  30. 30.Find the LCM of 9, 10 and 3.
  31. 31.Find the LCM of 10, 6 and 2.
  32. 32.Find the HCF of 77 and 55.
  33. 33.Find the HCF of 56 and 35.
  34. 34.Find the LCM of 9 and 5.
  35. 35.Find the LCM of 6 and 16.
  36. 36.Find the LCM of 8 and 20.
  37. 37.Find the LCM of 15, 2 and 7.
  38. 38.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  39. 39.Find the LCM of 18 and 30.
  40. 40.Find the HCF of 49 and 28.

Answer key

  1. 81
  2. 4
  3. 11
  4. 126
  5. 12
  6. 49
  7. 4
  8. 4
  9. 7
  10. 45
  11. 2
  12. 15
  13. 8
  14. 216
  15. 78
  16. 30
  17. 9
  18. 49
  19. 18
  20. 4
  21. 52
  22. 210
  23. 126
  24. 30
  25. 10
  26. 45
  27. 6
  28. 14
  29. 2
  30. 90
  31. 30
  32. 11
  33. 7
  34. 45
  35. 48
  36. 40
  37. 210
  38. 21
  39. 90
  40. 7

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