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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 283 · 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 91 and 52.
  2. 2.Find the LCM of 4, 12 and 6.
  3. 3.Find the LCM of 30 and 35.
  4. 4.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  5. 5.Find the LCM of 7, 14 and 15.
  6. 6.Find the HCF of 16 and 12.
  7. 7.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  8. 8.Find the HCF of 55 and 33.
  9. 9.Find the HCF of 105 and 45.
  10. 10.Find the LCM of 35 and 40.
  11. 11.Find the LCM of 4 and 10.
  12. 12.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  13. 13.Find the HCF of 32 and 20.
  14. 14.Find the LCM of 8, 12 and 15.
  15. 15.Find the LCM of 11, 15 and 5.
  16. 16.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  17. 17.Find the HCF of 60 and 36.
  18. 18.Find the HCF of 15 and 10.
  19. 19.Find the HCF of 27 and 45.
  20. 20.Find the LCM of 10, 2 and 8.
  21. 21.Find the HCF of 12 and 16.
  22. 22.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 21. What is the other number?
  23. 23.Find the LCM of 8 and 3.
  24. 24.Find the LCM of 2, 6 and 13.
  25. 25.Find the LCM of 8 and 20.
  26. 26.Find the LCM of 7 and 9.
  27. 27.Find the HCF of 104 and 91.
  28. 28.Find the HCF of 10 and 8.
  29. 29.Find the LCM of 3, 9 and 15.
  30. 30.Find the LCM of 12, 3 and 11.
  31. 31.Find the LCM of 2, 3 and 6.
  32. 32.Find the HCF of 40 and 32.
  33. 33.Find the LCM of 5, 6 and 8.
  34. 34.Find the HCF of 26 and 39.
  35. 35.Find the LCM of 10, 2 and 12.
  36. 36.Find the LCM of 10 and 45.
  37. 37.Find the LCM of 30 and 42.
  38. 38.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  39. 39.Find the LCM of 8 and 6.
  40. 40.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?

Answer key

  1. 13
  2. 12
  3. 210
  4. 35
  5. 210
  6. 4
  7. 81
  8. 11
  9. 15
  10. 280
  11. 20
  12. 8
  13. 4
  14. 120
  15. 165
  16. 28
  17. 12
  18. 5
  19. 9
  20. 40
  21. 4
  22. 35
  23. 24
  24. 78
  25. 40
  26. 63
  27. 13
  28. 2
  29. 45
  30. 132
  31. 6
  32. 8
  33. 120
  34. 13
  35. 60
  36. 90
  37. 210
  38. 8
  39. 24
  40. 56

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