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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 362 · 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 LCM of 6 and 5.
  2. 2.Find the HCF of 66 and 77.
  3. 3.Find the HCF of 25 and 20.
  4. 4.Find the HCF of 48 and 108.
  5. 5.Find the LCM of 10 and 18.
  6. 6.Find the HCF of 28 and 36.
  7. 7.Find the LCM of 12 and 20.
  8. 8.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  9. 9.Find the LCM of 6, 8 and 12.
  10. 10.Find the HCF of 18 and 42.
  11. 11.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  12. 12.Find the HCF of 55 and 22.
  13. 13.Find the LCM of 4, 2 and 11.
  14. 14.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  15. 15.Find the HCF of 40 and 64.
  16. 16.Find the LCM of 4, 15 and 3.
  17. 17.Find the LCM of 5, 4 and 2.
  18. 18.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  19. 19.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  20. 20.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  21. 21.Find the HCF of 45 and 81.
  22. 22.Find the LCM of 14, 2 and 4.
  23. 23.Find the LCM of 18 and 10.
  24. 24.Find the HCF of 88 and 99.
  25. 25.Find the HCF of 21 and 12.
  26. 26.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  27. 27.Find the LCM of 5, 7 and 6.
  28. 28.Find the LCM of 4 and 9.
  29. 29.Find the HCF of 77 and 88.
  30. 30.Find the LCM of 12, 15 and 2.
  31. 31.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  32. 32.Find the LCM of 6, 9 and 3.
  33. 33.Find the LCM of 7, 3 and 12.
  34. 34.Find the LCM of 9 and 15.
  35. 35.Find the LCM of 24 and 20.
  36. 36.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  37. 37.Find the HCF of 21 and 18.
  38. 38.Find the LCM of 45 and 10.
  39. 39.Find the HCF of 65 and 117.
  40. 40.Find the HCF of 70 and 20.

Answer key

  1. 30
  2. 11
  3. 5
  4. 12
  5. 90
  6. 4
  7. 60
  8. 16
  9. 24
  10. 6
  11. 40
  12. 11
  13. 44
  14. 10
  15. 8
  16. 60
  17. 20
  18. 49
  19. 21
  20. 36
  21. 9
  22. 28
  23. 90
  24. 11
  25. 3
  26. 42
  27. 210
  28. 36
  29. 11
  30. 60
  31. 15
  32. 18
  33. 84
  34. 45
  35. 120
  36. 42
  37. 3
  38. 90
  39. 13
  40. 10

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