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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 327 · 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 40 and 35.
  2. 2.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  3. 3.Find the LCM of 9, 10 and 2.
  4. 4.Find the HCF of 22 and 33.
  5. 5.Find the LCM of 15, 10 and 7.
  6. 6.Find the LCM of 4, 8 and 10.
  7. 7.Find the LCM of 8, 4 and 14.
  8. 8.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  9. 9.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  10. 10.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  11. 11.Find the HCF of 28 and 36.
  12. 12.Find the LCM of 11, 2 and 10.
  13. 13.Find the LCM of 15 and 9.
  14. 14.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  15. 15.Find the HCF of 39 and 91.
  16. 16.Find the LCM of 25 and 35.
  17. 17.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  18. 18.Find the HCF of 35 and 20.
  19. 19.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  20. 20.Find the LCM of 16 and 14.
  21. 21.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  22. 22.Find the LCM of 9 and 2.
  23. 23.Find the LCM of 8, 3 and 12.
  24. 24.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  25. 25.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 49. What is the other number?
  26. 26.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  27. 27.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  28. 28.Find the HCF of 120 and 45.
  29. 29.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  30. 30.Find the LCM of 8, 5 and 4.
  31. 31.Find the LCM of 6, 3 and 2.
  32. 32.Find the HCF of 35 and 40.
  33. 33.Find the LCM of 9 and 21.
  34. 34.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  35. 35.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  36. 36.Find the LCM of 7, 15 and 6.
  37. 37.Find the LCM of 25 and 20.
  38. 38.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  39. 39.Find the HCF of 44 and 33.
  40. 40.Find the LCM of 2, 14 and 15.

Answer key

  1. 5
  2. 56
  3. 90
  4. 11
  5. 210
  6. 40
  7. 56
  8. 12
  9. 63
  10. 14
  11. 4
  12. 110
  13. 45
  14. 45
  15. 13
  16. 175
  17. 10
  18. 5
  19. 21
  20. 112
  21. 24
  22. 18
  23. 24
  24. 16
  25. 35
  26. 14
  27. 6
  28. 15
  29. 10
  30. 40
  31. 6
  32. 5
  33. 63
  34. 36
  35. 27
  36. 210
  37. 100
  38. 21
  39. 11
  40. 210

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