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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 957 · 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 22 and 77.
  2. 2.Find the HCF of 14 and 10.
  3. 3.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  4. 4.Find the HCF of 18 and 12.
  5. 5.Find the LCM of 27 and 6.
  6. 6.Find the LCM of 48 and 18.
  7. 7.Find the LCM of 3, 8 and 9.
  8. 8.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?
  9. 9.Find the LCM of 15 and 6.
  10. 10.Find the HCF of 15 and 12.
  11. 11.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  12. 12.Find the HCF of 16 and 6.
  13. 13.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  14. 14.Find the LCM of 8, 7 and 6.
  15. 15.Find the LCM of 3 and 5.
  16. 16.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  17. 17.Find the LCM of 32 and 12.
  18. 18.Find the HCF of 28 and 42.
  19. 19.Find the LCM of 8 and 7.
  20. 20.Find the HCF of 56 and 72.
  21. 21.Find the LCM of 14 and 6.
  22. 22.Find the LCM of 45 and 20.
  23. 23.Find the LCM of 15, 6 and 2.
  24. 24.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  25. 25.Find the HCF of 24 and 32.
  26. 26.Find the HCF of 52 and 91.
  27. 27.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  28. 28.Find the LCM of 12, 4 and 7.
  29. 29.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  30. 30.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  31. 31.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  32. 32.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  33. 33.Find the LCM of 12 and 16.
  34. 34.Find the HCF of 126 and 56.
  35. 35.Find the LCM of 28 and 16.
  36. 36.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  37. 37.Find the LCM of 28 and 36.
  38. 38.Find the LCM of 15 and 12.
  39. 39.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  40. 40.Find the LCM of 10 and 35.

Answer key

  1. 11
  2. 2
  3. 81
  4. 6
  5. 54
  6. 144
  7. 72
  8. 24
  9. 30
  10. 3
  11. 28
  12. 2
  13. 36
  14. 168
  15. 15
  16. 28
  17. 96
  18. 14
  19. 56
  20. 8
  21. 42
  22. 180
  23. 30
  24. 15
  25. 8
  26. 13
  27. 4
  28. 84
  29. 81
  30. 15
  31. 36
  32. 21
  33. 48
  34. 14
  35. 112
  36. 63
  37. 252
  38. 60
  39. 8
  40. 70

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