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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 591 · 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 117 and 91.
  2. 2.Find the HCF of 14 and 12.
  3. 3.Find the HCF of 28 and 20.
  4. 4.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 64. What is the other number?
  5. 5.Find the LCM of 12 and 8.
  6. 6.Find the LCM of 5, 2 and 15.
  7. 7.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  8. 8.Find the LCM of 4, 12 and 10.
  9. 9.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  10. 10.Find the HCF of 65 and 26.
  11. 11.Find the HCF of 10 and 15.
  12. 12.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  13. 13.Find the HCF of 32 and 56.
  14. 14.Find the LCM of 12, 9 and 10.
  15. 15.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  16. 16.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  17. 17.Find the HCF of 15 and 9.
  18. 18.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  19. 19.Find the LCM of 20 and 25.
  20. 20.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  21. 21.Find the LCM of 14 and 18.
  22. 22.Find the HCF of 36 and 28.
  23. 23.Find the HCF of 98 and 84.
  24. 24.Find the HCF of 70 and 80.
  25. 25.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  26. 26.Find the HCF of 30 and 36.
  27. 27.Find the LCM of 12, 3 and 11.
  28. 28.Find the LCM of 20 and 8.
  29. 29.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  30. 30.Find the LCM of 16 and 10.
  31. 31.Find the HCF of 6 and 8.
  32. 32.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  33. 33.Find the HCF of 42 and 24.
  34. 34.Find the HCF of 24 and 40.
  35. 35.Find the LCM of 30 and 35.
  36. 36.Find the LCM of 10 and 16.
  37. 37.Find the HCF of 63 and 72.
  38. 38.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  39. 39.Find the HCF of 50 and 80.
  40. 40.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?

Answer key

  1. 13
  2. 2
  3. 4
  4. 40
  5. 24
  6. 30
  7. 63
  8. 60
  9. 18
  10. 13
  11. 5
  12. 8
  13. 8
  14. 180
  15. 32
  16. 45
  17. 3
  18. 27
  19. 100
  20. 25
  21. 126
  22. 4
  23. 14
  24. 10
  25. 24
  26. 6
  27. 132
  28. 40
  29. 15
  30. 80
  31. 2
  32. 28
  33. 6
  34. 8
  35. 210
  36. 80
  37. 9
  38. 16
  39. 10
  40. 36

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