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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 333 · 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 39 and 91.
  2. 2.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  3. 3.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  4. 4.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  5. 5.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  6. 6.Find the LCM of 21 and 24.
  7. 7.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  8. 8.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  9. 9.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  10. 10.Find the HCF of 99 and 88.
  11. 11.Find the LCM of 2 and 9.
  12. 12.Find the HCF of 36 and 84.
  13. 13.Find the LCM of 36 and 28.
  14. 14.Find the HCF of 44 and 55.
  15. 15.Find the LCM of 24 and 20.
  16. 16.Find the LCM of 15, 6 and 5.
  17. 17.Find the LCM of 10, 2 and 13.
  18. 18.Find the LCM of 3 and 7.
  19. 19.Find the HCF of 24 and 28.
  20. 20.Find the LCM of 8, 2 and 6.
  21. 21.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  22. 22.Find the LCM of 13, 2 and 7.
  23. 23.Find the LCM of 2 and 5.
  24. 24.Find the LCM of 15 and 35.
  25. 25.Find the LCM of 12, 3 and 8.
  26. 26.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 54. What is the other number?
  27. 27.Find the LCM of 3, 12 and 2.
  28. 28.Find the LCM of 24 and 18.
  29. 29.Find the LCM of 24 and 9.
  30. 30.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  31. 31.Find the LCM of 12, 8 and 7.
  32. 32.Find the LCM of 11, 2 and 12.
  33. 33.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  34. 34.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  35. 35.Find the LCM of 24 and 21.
  36. 36.Find the HCF of 70 and 60.
  37. 37.Find the LCM of 18 and 21.
  38. 38.Find the LCM of 3, 7 and 2.
  39. 39.Find the LCM of 5, 15 and 8.
  40. 40.Find the HCF of 65 and 91.

Answer key

  1. 13
  2. 12
  3. 12
  4. 16
  5. 40
  6. 168
  7. 21
  8. 21
  9. 14
  10. 11
  11. 18
  12. 12
  13. 252
  14. 11
  15. 120
  16. 30
  17. 130
  18. 21
  19. 4
  20. 24
  21. 81
  22. 182
  23. 10
  24. 105
  25. 24
  26. 30
  27. 12
  28. 72
  29. 72
  30. 15
  31. 168
  32. 132
  33. 45
  34. 64
  35. 168
  36. 10
  37. 126
  38. 42
  39. 120
  40. 13

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