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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 145 · 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 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  2. 2.Find the LCM of 24 and 9.
  3. 3.Find the HCF of 6 and 15.
  4. 4.Find the LCM of 4, 11 and 2.
  5. 5.Find the LCM of 8, 2 and 10.
  6. 6.Find the LCM of 9, 8 and 12.
  7. 7.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  8. 8.Find the LCM of 10, 5 and 4.
  9. 9.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?
  10. 10.Find the LCM of 10, 14 and 3.
  11. 11.Find the LCM of 32 and 20.
  12. 12.Find the HCF of 42 and 98.
  13. 13.Find the HCF of 42 and 36.
  14. 14.Find the LCM of 4, 3 and 14.
  15. 15.Find the HCF of 126 and 98.
  16. 16.Find the LCM of 16 and 28.
  17. 17.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  18. 18.Find the LCM of 6, 4 and 7.
  19. 19.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  20. 20.Find the HCF of 90 and 50.
  21. 21.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  22. 22.Find the HCF of 25 and 20.
  23. 23.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 16. What is the other number?
  24. 24.Find the LCM of 45 and 40.
  25. 25.Find the LCM of 2, 8 and 13.
  26. 26.Find the LCM of 2, 6 and 13.
  27. 27.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  28. 28.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  29. 29.Find the LCM of 12, 11 and 4.
  30. 30.Find the LCM of 2, 5 and 6.
  31. 31.Find the HCF of 12 and 28.
  32. 32.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  33. 33.Find the LCM of 36 and 20.
  34. 34.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  35. 35.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 64. What is the other number?
  36. 36.Find the HCF of 70 and 112.
  37. 37.Find the LCM of 11, 4 and 6.
  38. 38.Find the LCM of 8, 2 and 3.
  39. 39.Find the HCF of 16 and 28.
  40. 40.Find the HCF of 65 and 26.

Answer key

  1. 4
  2. 72
  3. 3
  4. 44
  5. 40
  6. 72
  7. 63
  8. 20
  9. 48
  10. 210
  11. 160
  12. 14
  13. 6
  14. 84
  15. 14
  16. 112
  17. 12
  18. 84
  19. 42
  20. 10
  21. 14
  22. 5
  23. 56
  24. 360
  25. 104
  26. 78
  27. 56
  28. 21
  29. 132
  30. 30
  31. 4
  32. 72
  33. 180
  34. 63
  35. 56
  36. 14
  37. 132
  38. 24
  39. 4
  40. 13

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