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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 635 · 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 21 and 56.
  2. 2.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  3. 3.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  4. 4.Find the HCF of 84 and 70.
  5. 5.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  6. 6.Find the HCF of 27 and 24.
  7. 7.Find the LCM of 14, 3 and 8.
  8. 8.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 40. What is the other number?
  9. 9.Find the LCM of 8, 3 and 2.
  10. 10.Find the LCM of 10, 9 and 2.
  11. 11.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  12. 12.Find the HCF of 63 and 54.
  13. 13.Find the LCM of 16 and 28.
  14. 14.Find the LCM of 5 and 6.
  15. 15.Find the HCF of 14 and 10.
  16. 16.Find the LCM of 24 and 21.
  17. 17.Find the HCF of 55 and 33.
  18. 18.Find the HCF of 21 and 12.
  19. 19.Find the LCM of 9, 10 and 6.
  20. 20.Find the HCF of 24 and 16.
  21. 21.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  22. 22.Find the HCF of 77 and 88.
  23. 23.Find the LCM of 7, 5 and 2.
  24. 24.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  25. 25.Find the LCM of 9 and 7.
  26. 26.Find the LCM of 10, 7 and 2.
  27. 27.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 32. What is the other number?
  28. 28.Find the LCM of 15 and 35.
  29. 29.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  30. 30.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 40. What is the other number?
  31. 31.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  32. 32.Find the HCF of 77 and 66.
  33. 33.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  34. 34.Find the LCM of 35 and 10.
  35. 35.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  36. 36.Find the HCF of 36 and 24.
  37. 37.Find the LCM of 15 and 10.
  38. 38.Find the HCF of 63 and 72.
  39. 39.Find the LCM of 7 and 3.
  40. 40.Find the LCM of 6, 2 and 9.

Answer key

  1. 7
  2. 10
  3. 14
  4. 14
  5. 18
  6. 3
  7. 168
  8. 25
  9. 24
  10. 90
  11. 36
  12. 9
  13. 112
  14. 30
  15. 2
  16. 168
  17. 11
  18. 3
  19. 90
  20. 8
  21. 21
  22. 11
  23. 70
  24. 45
  25. 63
  26. 70
  27. 72
  28. 105
  29. 12
  30. 72
  31. 25
  32. 11
  33. 49
  34. 70
  35. 24
  36. 12
  37. 30
  38. 9
  39. 21
  40. 18

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