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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 476 · 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 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  2. 2.Find the HCF of 28 and 70.
  3. 3.Find the LCM of 20 and 15.
  4. 4.Find the LCM of 28 and 32.
  5. 5.Find the LCM of 16 and 36.
  6. 6.Find the HCF of 15 and 9.
  7. 7.Find the LCM of 6 and 16.
  8. 8.Find the LCM of 7, 6 and 14.
  9. 9.Find the LCM of 42 and 12.
  10. 10.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  11. 11.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  12. 12.Find the LCM of 7 and 2.
  13. 13.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  14. 14.Find the LCM of 54 and 48.
  15. 15.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  16. 16.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  17. 17.Find the LCM of 18 and 30.
  18. 18.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  19. 19.Find the HCF of 30 and 54.
  20. 20.Find the LCM of 14, 3 and 7.
  21. 21.Find the HCF of 16 and 24.
  22. 22.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  23. 23.Find the LCM of 9, 13 and 6.
  24. 24.Find the LCM of 8 and 9.
  25. 25.Find the LCM of 3, 9 and 12.
  26. 26.Find the LCM of 12, 2 and 6.
  27. 27.Find the LCM of 13, 3 and 9.
  28. 28.Find the HCF of 98 and 28.
  29. 29.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  30. 30.Find the HCF of 27 and 36.
  31. 31.Find the HCF of 30 and 35.
  32. 32.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  33. 33.Find the HCF of 16 and 10.
  34. 34.Find the HCF of 70 and 84.
  35. 35.Find the HCF of 45 and 40.
  36. 36.Find the LCM of 3 and 7.
  37. 37.Find the LCM of 24 and 18.
  38. 38.Find the HCF of 35 and 14.
  39. 39.Find the HCF of 21 and 15.
  40. 40.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?

Answer key

  1. 63
  2. 14
  3. 60
  4. 224
  5. 144
  6. 3
  7. 48
  8. 42
  9. 84
  10. 12
  11. 48
  12. 14
  13. 24
  14. 432
  15. 8
  16. 63
  17. 90
  18. 12
  19. 6
  20. 42
  21. 8
  22. 8
  23. 234
  24. 72
  25. 36
  26. 12
  27. 117
  28. 14
  29. 4
  30. 9
  31. 5
  32. 35
  33. 2
  34. 14
  35. 5
  36. 21
  37. 72
  38. 7
  39. 3
  40. 32

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