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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 686 · 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 70 and 30.
  2. 2.Find the HCF of 21 and 24.
  3. 3.Find the LCM of 13, 6 and 2.
  4. 4.Find the LCM of 15, 5 and 14.
  5. 5.Find the LCM of 3, 11 and 5.
  6. 6.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  7. 7.Find the HCF of 55 and 77.
  8. 8.Find the HCF of 99 and 22.
  9. 9.Find the HCF of 108 and 84.
  10. 10.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  11. 11.Find the HCF of 45 and 36.
  12. 12.Find the HCF of 112 and 98.
  13. 13.Find the LCM of 21 and 9.
  14. 14.Find the LCM of 15, 4 and 12.
  15. 15.Find the LCM of 25 and 35.
  16. 16.Find the LCM of 45 and 10.
  17. 17.Find the LCM of 6 and 5.
  18. 18.Find the HCF of 48 and 18.
  19. 19.Find the LCM of 20 and 35.
  20. 20.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 64. What is the other number?
  21. 21.Find the LCM of 12, 9 and 4.
  22. 22.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  23. 23.Find the HCF of 52 and 65.
  24. 24.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  25. 25.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  26. 26.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  27. 27.Find the LCM of 8, 3 and 6.
  28. 28.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 72. What is the other number?
  29. 29.Find the LCM of 8, 4 and 15.
  30. 30.Find the LCM of 12 and 30.
  31. 31.Find the HCF of 40 and 50.
  32. 32.Find the HCF of 18 and 45.
  33. 33.Find the HCF of 36 and 63.
  34. 34.Find the HCF of 91 and 78.
  35. 35.Find the LCM of 12 and 14.
  36. 36.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 20. What is the other number?
  37. 37.Find the LCM of 6, 12 and 13.
  38. 38.Find the LCM of 6, 4 and 14.
  39. 39.Find the LCM of 12 and 54.
  40. 40.Find the LCM of 5 and 8.

Answer key

  1. 10
  2. 3
  3. 78
  4. 210
  5. 165
  6. 24
  7. 11
  8. 11
  9. 12
  10. 14
  11. 9
  12. 14
  13. 63
  14. 60
  15. 175
  16. 90
  17. 30
  18. 6
  19. 140
  20. 56
  21. 36
  22. 21
  23. 13
  24. 16
  25. 4
  26. 18
  27. 24
  28. 32
  29. 120
  30. 60
  31. 10
  32. 9
  33. 9
  34. 13
  35. 84
  36. 32
  37. 156
  38. 84
  39. 108
  40. 40

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