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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 80 · 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 126. One of the numbers is 18. What is the other number?
  2. 2.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  3. 3.Find the HCF of 18 and 14.
  4. 4.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 54. What is the other number?
  5. 5.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  6. 6.Find the LCM of 24 and 30.
  7. 7.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  8. 8.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 45. What is the other number?
  9. 9.Find the HCF of 112 and 98.
  10. 10.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  11. 11.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  12. 12.Find the LCM of 14 and 6.
  13. 13.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  14. 14.Find the HCF of 65 and 104.
  15. 15.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 72. What is the other number?
  16. 16.Find the LCM of 5 and 6.
  17. 17.Find the HCF of 56 and 21.
  18. 18.Find the HCF of 72 and 32.
  19. 19.Find the LCM of 15 and 10.
  20. 20.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 20. What is the other number?
  21. 21.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  22. 22.Find the LCM of 14, 2 and 7.
  23. 23.Find the LCM of 8, 3 and 7.
  24. 24.Find the LCM of 3, 9 and 12.
  25. 25.Find the LCM of 12, 6 and 15.
  26. 26.Find the HCF of 45 and 40.
  27. 27.Find the LCM of 5, 7 and 3.
  28. 28.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  29. 29.Find the LCM of 4, 5 and 14.
  30. 30.Find the LCM of 11, 4 and 6.
  31. 31.Find the HCF of 4 and 14.
  32. 32.Find the LCM of 2, 3 and 15.
  33. 33.Find the LCM of 4 and 10.
  34. 34.Find the LCM of 6, 12 and 5.
  35. 35.Find the HCF of 15 and 25.
  36. 36.Find the LCM of 25 and 15.
  37. 37.Find the HCF of 20 and 8.
  38. 38.Find the LCM of 4, 10 and 15.
  39. 39.Find the HCF of 117 and 65.
  40. 40.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 8. What is the other number?

Answer key

  1. 63
  2. 4
  3. 2
  4. 42
  5. 18
  6. 120
  7. 8
  8. 54
  9. 14
  10. 24
  11. 18
  12. 42
  13. 35
  14. 13
  15. 81
  16. 30
  17. 7
  18. 8
  19. 30
  20. 35
  21. 12
  22. 14
  23. 168
  24. 36
  25. 60
  26. 5
  27. 105
  28. 14
  29. 140
  30. 132
  31. 2
  32. 30
  33. 20
  34. 60
  35. 5
  36. 75
  37. 4
  38. 60
  39. 13
  40. 10

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