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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 994 · 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 14, 12 and 6.
  2. 2.Find the HCF of 33 and 22.
  3. 3.Find the HCF of 99 and 44.
  4. 4.Find the LCM of 13, 3 and 9.
  5. 5.Find the LCM of 3, 15 and 14.
  6. 6.Find the HCF of 50 and 20.
  7. 7.Find the HCF of 48 and 30.
  8. 8.Find the HCF of 63 and 14.
  9. 9.Find the LCM of 18 and 42.
  10. 10.Find the HCF of 54 and 48.
  11. 11.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 20. What is the other number?
  12. 12.Find the HCF of 45 and 18.
  13. 13.Find the LCM of 54 and 42.
  14. 14.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  15. 15.Find the HCF of 16 and 24.
  16. 16.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  17. 17.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  18. 18.Find the LCM of 2, 15 and 6.
  19. 19.Find the LCM of 9 and 2.
  20. 20.Find the LCM of 6, 2 and 4.
  21. 21.Find the LCM of 8, 2 and 9.
  22. 22.Find the LCM of 3, 12 and 10.
  23. 23.Find the HCF of 65 and 26.
  24. 24.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  25. 25.Find the HCF of 4 and 6.
  26. 26.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  27. 27.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  28. 28.Find the HCF of 98 and 84.
  29. 29.Find the LCM of 3, 9 and 2.
  30. 30.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 42. What is the other number?
  31. 31.Find the LCM of 6 and 14.
  32. 32.Find the HCF of 18 and 8.
  33. 33.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  34. 34.Find the HCF of 104 and 65.
  35. 35.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  36. 36.Find the HCF of 45 and 30.
  37. 37.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  38. 38.Find the LCM of 12, 3 and 14.
  39. 39.Find the HCF of 45 and 20.
  40. 40.Find the HCF of 70 and 60.

Answer key

  1. 84
  2. 11
  3. 11
  4. 117
  5. 210
  6. 10
  7. 6
  8. 7
  9. 126
  10. 6
  11. 32
  12. 9
  13. 378
  14. 15
  15. 8
  16. 63
  17. 16
  18. 30
  19. 18
  20. 12
  21. 72
  22. 60
  23. 13
  24. 20
  25. 2
  26. 8
  27. 56
  28. 14
  29. 18
  30. 49
  31. 42
  32. 2
  33. 18
  34. 13
  35. 18
  36. 15
  37. 81
  38. 84
  39. 5
  40. 10

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