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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 178 · 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 99 and 44.
  2. 2.Find the HCF of 21 and 14.
  3. 3.Find the LCM of 14, 8 and 3.
  4. 4.Find the HCF of 75 and 120.
  5. 5.Find the HCF of 52 and 117.
  6. 6.Find the HCF of 8 and 10.
  7. 7.Find the LCM of 8, 6 and 3.
  8. 8.Find the LCM of 6 and 14.
  9. 9.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 10. What is the other number?
  10. 10.Find the LCM of 9, 2 and 8.
  11. 11.Find the LCM of 15 and 9.
  12. 12.Find the HCF of 10 and 6.
  13. 13.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  14. 14.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 42. What is the other number?
  15. 15.Find the HCF of 72 and 32.
  16. 16.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  17. 17.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  18. 18.Find the LCM of 16 and 20.
  19. 19.Find the LCM of 28 and 12.
  20. 20.Find the LCM of 20 and 32.
  21. 21.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  22. 22.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  23. 23.Find the HCF of 48 and 42.
  24. 24.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?
  25. 25.Find the HCF of 36 and 30.
  26. 26.Find the LCM of 14, 9 and 3.
  27. 27.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  28. 28.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  29. 29.Find the HCF of 25 and 40.
  30. 30.Find the LCM of 16 and 28.
  31. 31.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 14. What is the other number?
  32. 32.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  33. 33.Find the LCM of 4 and 18.
  34. 34.Find the HCF of 28 and 8.
  35. 35.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  36. 36.Find the LCM of 6, 3 and 8.
  37. 37.Find the HCF of 18 and 12.
  38. 38.Find the LCM of 2 and 3.
  39. 39.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  40. 40.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?

Answer key

  1. 11
  2. 7
  3. 168
  4. 15
  5. 13
  6. 2
  7. 24
  8. 42
  9. 12
  10. 72
  11. 45
  12. 2
  13. 8
  14. 54
  15. 8
  16. 35
  17. 15
  18. 80
  19. 84
  20. 160
  21. 21
  22. 6
  23. 6
  24. 24
  25. 6
  26. 126
  27. 16
  28. 16
  29. 5
  30. 112
  31. 16
  32. 21
  33. 36
  34. 4
  35. 18
  36. 24
  37. 6
  38. 6
  39. 16
  40. 56

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