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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 670 · 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 99.
  2. 2.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  3. 3.Find the LCM of 7, 9 and 2.
  4. 4.Find the HCF of 56 and 126.
  5. 5.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  6. 6.Find the LCM of 54 and 24.
  7. 7.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  8. 8.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  9. 9.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 72. What is the other number?
  10. 10.Find the LCM of 40 and 15.
  11. 11.Find the LCM of 10 and 25.
  12. 12.Find the HCF of 54 and 12.
  13. 13.Find the HCF of 63 and 35.
  14. 14.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  15. 15.Find the LCM of 42 and 12.
  16. 16.Find the LCM of 2, 11 and 5.
  17. 17.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  18. 18.Find the HCF of 90 and 50.
  19. 19.Find the HCF of 26 and 39.
  20. 20.Find the LCM of 8, 14 and 2.
  21. 21.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  22. 22.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  23. 23.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 14. What is the other number?
  24. 24.Find the LCM of 5, 2 and 15.
  25. 25.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  26. 26.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  27. 27.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 63. What is the other number?
  28. 28.Find the LCM of 15 and 9.
  29. 29.Find the LCM of 6, 13 and 3.
  30. 30.Find the LCM of 6, 4 and 9.
  31. 31.Find the LCM of 2 and 3.
  32. 32.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  33. 33.Find the HCF of 64 and 40.
  34. 34.Find the LCM of 14 and 16.
  35. 35.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?
  36. 36.Find the LCM of 3, 12 and 2.
  37. 37.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  38. 38.Find the LCM of 36 and 42.
  39. 39.Find the LCM of 4, 7 and 5.
  40. 40.Find the HCF of 42 and 49.

Answer key

  1. 11
  2. 14
  3. 126
  4. 14
  5. 42
  6. 216
  7. 4
  8. 45
  9. 81
  10. 120
  11. 50
  12. 6
  13. 7
  14. 12
  15. 84
  16. 110
  17. 25
  18. 10
  19. 13
  20. 56
  21. 21
  22. 14
  23. 16
  24. 30
  25. 12
  26. 14
  27. 54
  28. 45
  29. 78
  30. 36
  31. 6
  32. 10
  33. 8
  34. 112
  35. 63
  36. 12
  37. 35
  38. 252
  39. 140
  40. 7

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