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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 73 · 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 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  2. 2.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  3. 3.Find the LCM of 12, 10 and 4.
  4. 4.Find the LCM of 14, 2 and 3.
  5. 5.Find the HCF of 42 and 98.
  6. 6.Find the LCM of 5, 12 and 6.
  7. 7.Find the LCM of 4 and 3.
  8. 8.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 16. What is the other number?
  9. 9.Find the LCM of 5, 4 and 6.
  10. 10.Find the LCM of 21 and 6.
  11. 11.Find the LCM of 7, 13 and 14.
  12. 12.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  13. 13.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 72. What is the other number?
  14. 14.Find the HCF of 15 and 27.
  15. 15.Find the HCF of 26 and 39.
  16. 16.Find the HCF of 42 and 70.
  17. 17.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  18. 18.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  19. 19.Find the HCF of 60 and 48.
  20. 20.Find the LCM of 10, 6 and 7.
  21. 21.Find the HCF of 36 and 81.
  22. 22.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 28. What is the other number?
  23. 23.Find the LCM of 18 and 24.
  24. 24.Find the HCF of 36 and 45.
  25. 25.Find the LCM of 8 and 10.
  26. 26.Find the LCM of 7, 4 and 12.
  27. 27.Find the HCF of 40 and 25.
  28. 28.Find the HCF of 35 and 21.
  29. 29.Find the LCM of 10 and 12.
  30. 30.Find the LCM of 15 and 10.
  31. 31.Find the LCM of 2 and 9.
  32. 32.Find the LCM of 2, 6 and 13.
  33. 33.Find the LCM of 6 and 4.
  34. 34.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?
  35. 35.Find the HCF of 20 and 12.
  36. 36.Find the LCM of 36 and 20.
  37. 37.Find the HCF of 65 and 26.
  38. 38.Find the HCF of 55 and 66.
  39. 39.Find the HCF of 60 and 24.
  40. 40.Find the HCF of 56 and 35.

Answer key

  1. 12
  2. 32
  3. 60
  4. 42
  5. 14
  6. 60
  7. 12
  8. 10
  9. 60
  10. 42
  11. 182
  12. 21
  13. 40
  14. 3
  15. 13
  16. 14
  17. 6
  18. 36
  19. 12
  20. 210
  21. 9
  22. 63
  23. 72
  24. 9
  25. 40
  26. 84
  27. 5
  28. 7
  29. 60
  30. 30
  31. 18
  32. 78
  33. 12
  34. 24
  35. 4
  36. 180
  37. 13
  38. 11
  39. 12
  40. 7

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