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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 943 · 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 117 and 65.
  2. 2.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  3. 3.Find the LCM of 2, 13 and 7.
  4. 4.Find the HCF of 77 and 55.
  5. 5.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  6. 6.Find the HCF of 20 and 12.
  7. 7.Find the HCF of 49 and 56.
  8. 8.Find the HCF of 126 and 70.
  9. 9.Find the HCF of 40 and 56.
  10. 10.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  11. 11.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?
  12. 12.Find the HCF of 65 and 39.
  13. 13.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  14. 14.Find the HCF of 49 and 14.
  15. 15.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  16. 16.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  17. 17.Find the LCM of 3, 2 and 10.
  18. 18.Find the LCM of 6, 8 and 15.
  19. 19.Find the HCF of 65 and 52.
  20. 20.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  21. 21.Find the LCM of 12, 4 and 7.
  22. 22.Find the HCF of 52 and 65.
  23. 23.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  24. 24.Find the LCM of 2, 15 and 14.
  25. 25.Find the LCM of 14, 2 and 12.
  26. 26.Find the HCF of 35 and 56.
  27. 27.Find the LCM of 14, 7 and 5.
  28. 28.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  29. 29.Find the LCM of 9, 15 and 5.
  30. 30.Find the HCF of 9 and 15.
  31. 31.Find the LCM of 5 and 4.
  32. 32.Find the LCM of 15, 4 and 2.
  33. 33.Find the LCM of 6, 4 and 7.
  34. 34.Find the LCM of 35 and 20.
  35. 35.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  36. 36.Find the HCF of 24 and 9.
  37. 37.Find the LCM of 18 and 21.
  38. 38.Find the LCM of 5, 12 and 9.
  39. 39.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  40. 40.Find the HCF of 21 and 49.

Answer key

  1. 13
  2. 24
  3. 182
  4. 11
  5. 35
  6. 4
  7. 7
  8. 14
  9. 8
  10. 54
  11. 63
  12. 13
  13. 42
  14. 7
  15. 10
  16. 18
  17. 30
  18. 120
  19. 13
  20. 24
  21. 84
  22. 13
  23. 18
  24. 210
  25. 84
  26. 7
  27. 70
  28. 20
  29. 45
  30. 3
  31. 20
  32. 60
  33. 84
  34. 140
  35. 21
  36. 3
  37. 126
  38. 180
  39. 4
  40. 7

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