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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 246 · 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 567. One of the numbers is 81. What is the other number?
  2. 2.Find the LCM of 30 and 12.
  3. 3.Find the HCF of 50 and 70.
  4. 4.Find the LCM of 28 and 24.
  5. 5.Find the LCM of 13, 6 and 2.
  6. 6.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  7. 7.Find the LCM of 28 and 20.
  8. 8.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  9. 9.Find the LCM of 15, 4 and 5.
  10. 10.Find the LCM of 35 and 10.
  11. 11.Find the LCM of 20 and 25.
  12. 12.Find the HCF of 60 and 36.
  13. 13.Find the HCF of 15 and 9.
  14. 14.Find the LCM of 12 and 10.
  15. 15.Find the HCF of 48 and 56.
  16. 16.Find the HCF of 36 and 60.
  17. 17.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 35. What is the other number?
  18. 18.Find the HCF of 63 and 56.
  19. 19.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  20. 20.Find the HCF of 90 and 20.
  21. 21.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  22. 22.Find the LCM of 8 and 3.
  23. 23.Find the HCF of 24 and 84.
  24. 24.Find the LCM of 7, 10 and 2.
  25. 25.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  26. 26.Find the LCM of 8, 5 and 6.
  27. 27.Find the LCM of 14, 3 and 6.
  28. 28.Find the LCM of 30 and 24.
  29. 29.Find the HCF of 20 and 36.
  30. 30.Find the HCF of 10 and 18.
  31. 31.Find the LCM of 15 and 10.
  32. 32.Find the LCM of 6 and 4.
  33. 33.Find the LCM of 4 and 10.
  34. 34.Find the HCF of 91 and 39.
  35. 35.Find the HCF of 90 and 75.
  36. 36.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  37. 37.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 30. What is the other number?
  38. 38.Find the LCM of 10 and 15.
  39. 39.Find the LCM of 12 and 42.
  40. 40.Find the HCF of 16 and 56.

Answer key

  1. 63
  2. 60
  3. 10
  4. 168
  5. 78
  6. 35
  7. 140
  8. 12
  9. 60
  10. 70
  11. 100
  12. 12
  13. 3
  14. 60
  15. 8
  16. 12
  17. 42
  18. 7
  19. 14
  20. 10
  21. 32
  22. 24
  23. 12
  24. 70
  25. 81
  26. 120
  27. 42
  28. 120
  29. 4
  30. 2
  31. 30
  32. 12
  33. 20
  34. 13
  35. 15
  36. 63
  37. 35
  38. 30
  39. 84
  40. 8

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