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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 953 · 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 30 and 12.
  2. 2.Find the LCM of 18 and 24.
  3. 3.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  4. 4.Find the HCF of 40 and 72.
  5. 5.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 45. What is the other number?
  6. 6.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  7. 7.Find the HCF of 28 and 98.
  8. 8.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  9. 9.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  10. 10.Find the LCM of 12, 2 and 3.
  11. 11.Find the LCM of 8, 3 and 14.
  12. 12.Find the HCF of 52 and 65.
  13. 13.Find the LCM of 5, 7 and 10.
  14. 14.Find the LCM of 7, 6 and 12.
  15. 15.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 54. What is the other number?
  16. 16.Find the HCF of 21 and 28.
  17. 17.Find the HCF of 55 and 88.
  18. 18.Find the LCM of 5, 8 and 2.
  19. 19.Find the LCM of 13, 4 and 2.
  20. 20.Find the LCM of 15 and 24.
  21. 21.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  22. 22.Find the HCF of 60 and 84.
  23. 23.Find the LCM of 36 and 20.
  24. 24.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?
  25. 25.Find the HCF of 12 and 42.
  26. 26.Find the LCM of 6, 8 and 14.
  27. 27.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 63. What is the other number?
  28. 28.Find the LCM of 7, 15 and 3.
  29. 29.Find the LCM of 12 and 42.
  30. 30.Find the LCM of 2, 9 and 7.
  31. 31.Find the LCM of 12, 3 and 7.
  32. 32.Find the LCM of 5, 2 and 14.
  33. 33.Find the HCF of 25 and 30.
  34. 34.Find the LCM of 14, 10 and 5.
  35. 35.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  36. 36.Find the LCM of 14, 6 and 5.
  37. 37.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  38. 38.Find the HCF of 48 and 42.
  39. 39.Find the HCF of 10 and 25.
  40. 40.Find the HCF of 98 and 70.

Answer key

  1. 6
  2. 72
  3. 21
  4. 8
  5. 54
  6. 63
  7. 14
  8. 18
  9. 15
  10. 12
  11. 168
  12. 13
  13. 70
  14. 84
  15. 12
  16. 7
  17. 11
  18. 40
  19. 52
  20. 120
  21. 16
  22. 12
  23. 180
  24. 56
  25. 6
  26. 168
  27. 28
  28. 105
  29. 84
  30. 126
  31. 84
  32. 70
  33. 5
  34. 70
  35. 12
  36. 210
  37. 12
  38. 6
  39. 5
  40. 14

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