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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 694 · 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 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  2. 2.Find the LCM of 20 and 35.
  3. 3.Find the HCF of 32 and 12.
  4. 4.Find the HCF of 9 and 21.
  5. 5.Find the HCF of 99 and 22.
  6. 6.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 16. What is the other number?
  7. 7.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  8. 8.Find the LCM of 2 and 5.
  9. 9.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  10. 10.Find the LCM of 2, 14 and 15.
  11. 11.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  12. 12.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  13. 13.Find the LCM of 5 and 3.
  14. 14.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  15. 15.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  16. 16.Find the HCF of 44 and 33.
  17. 17.Find the HCF of 70 and 50.
  18. 18.Find the LCM of 2 and 3.
  19. 19.Find the HCF of 36 and 84.
  20. 20.Find the LCM of 2, 6 and 14.
  21. 21.Find the HCF of 56 and 35.
  22. 22.Find the HCF of 6 and 21.
  23. 23.Find the LCM of 7 and 2.
  24. 24.Find the LCM of 9 and 5.
  25. 25.Find the LCM of 8, 2 and 3.
  26. 26.Find the HCF of 8 and 12.
  27. 27.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  28. 28.Find the HCF of 52 and 39.
  29. 29.Find the LCM of 14, 4 and 12.
  30. 30.Find the LCM of 14, 12 and 2.
  31. 31.Find the HCF of 70 and 30.
  32. 32.Find the LCM of 9 and 8.
  33. 33.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 32. What is the other number?
  34. 34.Find the LCM of 3, 12 and 2.
  35. 35.Find the LCM of 10, 11 and 4.
  36. 36.Find the HCF of 21 and 12.
  37. 37.Find the LCM of 7, 8 and 2.
  38. 38.Find the LCM of 9 and 21.
  39. 39.Find the LCM of 9, 3 and 8.
  40. 40.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 64. What is the other number?

Answer key

  1. 6
  2. 140
  3. 4
  4. 3
  5. 11
  6. 20
  7. 15
  8. 10
  9. 15
  10. 210
  11. 72
  12. 30
  13. 15
  14. 36
  15. 45
  16. 11
  17. 10
  18. 6
  19. 12
  20. 42
  21. 7
  22. 3
  23. 14
  24. 45
  25. 24
  26. 4
  27. 64
  28. 13
  29. 84
  30. 84
  31. 10
  32. 72
  33. 72
  34. 12
  35. 220
  36. 3
  37. 56
  38. 63
  39. 72
  40. 72

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