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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 878 · 40 sums
TalentJR

The trick (Sankalana-Vyavakalanabhyam): Take the smaller number away from the bigger one, as many times as it goes. Now use the smaller number and what is left. Repeat until nothing is left: the last number before 0 is the HCF.

NameDateTime takenScore ___ / 40
  1. 1.HCF of 147 and 231 =
  2. 2.HCF of 51 and 12 =
  3. 3.HCF of 112 and 144 =
  4. 4.HCF of 27 and 171 =
  5. 5.HCF of 55 and 35 =
  6. 6.HCF of 10 and 34 =
  7. 7.HCF of 36 and 204 =
  8. 8.HCF of 54 and 117 =
  9. 9.HCF of 18 and 153 =
  10. 10.HCF of 238 and 221 =
  11. 11.HCF of 425 and 150 =
  12. 12.HCF of 120 and 285 =
  13. 13.HCF of 96 and 408 =
  14. 14.HCF of 90 and 153 =
  15. 15.HCF of 105 and 98 =
  16. 16.HCF of 224 and 272 =
  17. 17.HCF of 475 and 325 =
  18. 18.HCF of 77 and 112 =
  19. 19.HCF of 44 and 68 =
  20. 20.HCF of 20 and 16 =
  21. 21.HCF of 64 and 56 =
  22. 22.HCF of 119 and 306 =
  23. 23.HCF of 40 and 60 =
  24. 24.HCF of 91 and 112 =
  25. 25.HCF of 91 and 52 =
  26. 26.HCF of 91 and 78 =
  27. 27.HCF of 6 and 21 =
  28. 28.HCF of 10 and 8 =
  29. 29.HCF of 64 and 60 =
  30. 30.HCF of 46 and 207 =
  31. 31.HCF of 92 and 299 =
  32. 32.HCF of 95 and 25 =
  33. 33.HCF of 100 and 35 =
  34. 34.HCF of 105 and 165 =
  35. 35.HCF of 51 and 48 =
  36. 36.HCF of 30 and 70 =
  37. 37.HCF of 121 and 132 =
  38. 38.HCF of 143 and 55 =
  39. 39.HCF of 270 and 36 =
  40. 40.HCF of 105 and 56 =

Answer key

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

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