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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 977 · 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 63 and 72.
  2. 2.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  3. 3.Find the LCM of 8, 4 and 3.
  4. 4.Find the LCM of 6, 15 and 5.
  5. 5.Find the HCF of 117 and 91.
  6. 6.Find the LCM of 7 and 8.
  7. 7.Find the HCF of 12 and 42.
  8. 8.Find the HCF of 24 and 84.
  9. 9.Find the HCF of 72 and 32.
  10. 10.Find the LCM of 30 and 24.
  11. 11.Find the HCF of 10 and 15.
  12. 12.Find the LCM of 27 and 24.
  13. 13.Find the LCM of 8, 4 and 6.
  14. 14.Find the LCM of 4, 12 and 9.
  15. 15.Find the LCM of 5, 8 and 10.
  16. 16.Find the LCM of 2, 6 and 8.
  17. 17.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 28. What is the other number?
  18. 18.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  19. 19.Find the HCF of 40 and 15.
  20. 20.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  21. 21.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  22. 22.Find the LCM of 6, 12 and 2.
  23. 23.Find the LCM of 8, 6 and 10.
  24. 24.Find the HCF of 56 and 126.
  25. 25.Find the HCF of 48 and 30.
  26. 26.Find the LCM of 14, 3 and 8.
  27. 27.Find the HCF of 98 and 56.
  28. 28.Find the LCM of 16 and 20.
  29. 29.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 25. What is the other number?
  30. 30.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  31. 31.Find the LCM of 32 and 36.
  32. 32.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  33. 33.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  34. 34.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  35. 35.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 16. What is the other number?
  36. 36.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  37. 37.Find the HCF of 54 and 12.
  38. 38.Find the LCM of 15 and 10.
  39. 39.Find the HCF of 28 and 63.
  40. 40.Find the HCF of 80 and 50.

Answer key

  1. 9
  2. 42
  3. 24
  4. 30
  5. 13
  6. 56
  7. 6
  8. 12
  9. 8
  10. 120
  11. 5
  12. 216
  13. 24
  14. 36
  15. 40
  16. 24
  17. 63
  18. 12
  19. 5
  20. 12
  21. 63
  22. 12
  23. 120
  24. 14
  25. 6
  26. 168
  27. 14
  28. 80
  29. 20
  30. 10
  31. 288
  32. 8
  33. 14
  34. 42
  35. 10
  36. 45
  37. 6
  38. 30
  39. 7
  40. 10

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