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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 115 · 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 32 and 240 =
  2. 2.HCF of 225 and 165 =
  3. 3.HCF of 128 and 56 =
  4. 4.HCF of 57 and 45 =
  5. 5.HCF of 85 and 55 =
  6. 6.HCF of 28 and 91 =
  7. 7.HCF of 224 and 144 =
  8. 8.HCF of 34 and 6 =
  9. 9.HCF of 345 and 184 =
  10. 10.HCF of 252 and 342 =
  11. 11.HCF of 22 and 16 =
  12. 12.HCF of 323 and 255 =
  13. 13.HCF of 36 and 30 =
  14. 14.HCF of 289 and 34 =
  15. 15.HCF of 96 and 56 =
  16. 16.HCF of 77 and 105 =
  17. 17.HCF of 14 and 38 =
  18. 18.HCF of 264 and 242 =
  19. 19.HCF of 360 and 162 =
  20. 20.HCF of 95 and 152 =
  21. 21.HCF of 396 and 374 =
  22. 22.HCF of 322 and 299 =
  23. 23.HCF of 306 and 85 =
  24. 24.HCF of 140 and 320 =
  25. 25.HCF of 234 and 306 =
  26. 26.HCF of 160 and 144 =
  27. 27.HCF of 52 and 143 =
  28. 28.HCF of 78 and 18 =
  29. 29.HCF of 24 and 33 =
  30. 30.HCF of 252 and 154 =
  31. 31.HCF of 42 and 119 =
  32. 32.HCF of 170 and 30 =
  33. 33.HCF of 128 and 88 =
  34. 34.HCF of 68 and 221 =
  35. 35.HCF of 112 and 21 =
  36. 36.HCF of 16 and 136 =
  37. 37.HCF of 9 and 51 =
  38. 38.HCF of 288 and 126 =
  39. 39.HCF of 144 and 256 =
  40. 40.HCF of 33 and 6 =

Answer key

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

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