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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 134 · 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 45 and 35.
  2. 2.Find the HCF of 15 and 21.
  3. 3.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  4. 4.Find the LCM of 14, 6 and 7.
  5. 5.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  6. 6.Find the LCM of 15 and 40.
  7. 7.Find the HCF of 28 and 16.
  8. 8.Find the HCF of 18 and 30.
  9. 9.Find the HCF of 84 and 96.
  10. 10.Find the LCM of 5, 14 and 7.
  11. 11.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  12. 12.Find the LCM of 5, 2 and 3.
  13. 13.Find the LCM of 12 and 18.
  14. 14.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  15. 15.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  16. 16.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  17. 17.Find the HCF of 48 and 56.
  18. 18.Find the LCM of 14, 7 and 12.
  19. 19.Find the LCM of 2, 14 and 10.
  20. 20.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 30. What is the other number?
  21. 21.Find the LCM of 6, 4 and 10.
  22. 22.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  23. 23.Find the LCM of 14 and 10.
  24. 24.Find the LCM of 15 and 20.
  25. 25.Find the LCM of 13, 4 and 6.
  26. 26.Find the LCM of 14, 4 and 12.
  27. 27.Find the HCF of 16 and 24.
  28. 28.Find the HCF of 84 and 72.
  29. 29.Find the LCM of 35 and 30.
  30. 30.Find the LCM of 8 and 6.
  31. 31.Find the LCM of 18 and 15.
  32. 32.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 28. What is the other number?
  33. 33.Find the HCF of 35 and 10.
  34. 34.Find the HCF of 45 and 75.
  35. 35.Find the LCM of 13, 2 and 8.
  36. 36.Find the LCM of 18 and 21.
  37. 37.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  38. 38.Find the LCM of 15, 5 and 10.
  39. 39.Find the LCM of 18 and 16.
  40. 40.Find the LCM of 6, 5 and 3.

Answer key

  1. 5
  2. 3
  3. 63
  4. 42
  5. 63
  6. 120
  7. 4
  8. 6
  9. 12
  10. 70
  11. 25
  12. 30
  13. 36
  14. 81
  15. 42
  16. 18
  17. 8
  18. 84
  19. 70
  20. 36
  21. 60
  22. 21
  23. 70
  24. 60
  25. 156
  26. 84
  27. 8
  28. 12
  29. 210
  30. 24
  31. 90
  32. 63
  33. 5
  34. 15
  35. 104
  36. 126
  37. 35
  38. 30
  39. 144
  40. 30

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