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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 508 · 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 323 and 306 =
  2. 2.HCF of 168 and 204 =
  3. 3.HCF of 336 and 147 =
  4. 4.HCF of 240 and 224 =
  5. 5.HCF of 275 and 450 =
  6. 6.HCF of 153 and 99 =
  7. 7.HCF of 90 and 55 =
  8. 8.HCF of 65 and 95 =
  9. 9.HCF of 180 and 27 =
  10. 10.HCF of 44 and 242 =
  11. 11.HCF of 77 and 14 =
  12. 12.HCF of 289 and 221 =
  13. 13.HCF of 65 and 78 =
  14. 14.HCF of 273 and 189 =
  15. 15.HCF of 154 and 196 =
  16. 16.HCF of 154 and 88 =
  17. 17.HCF of 72 and 128 =
  18. 18.HCF of 128 and 208 =
  19. 19.HCF of 357 and 420 =
  20. 20.HCF of 391 and 230 =
  21. 21.HCF of 34 and 119 =
  22. 22.HCF of 84 and 72 =
  23. 23.HCF of 20 and 70 =
  24. 24.HCF of 323 and 34 =
  25. 25.HCF of 56 and 210 =
  26. 26.HCF of 85 and 204 =
  27. 27.HCF of 252 and 238 =
  28. 28.HCF of 460 and 437 =
  29. 29.HCF of 140 and 91 =
  30. 30.HCF of 48 and 18 =
  31. 31.HCF of 168 and 288 =
  32. 32.HCF of 120 and 140 =
  33. 33.HCF of 133 and 112 =
  34. 34.HCF of 360 and 340 =
  35. 35.HCF of 391 and 69 =
  36. 36.HCF of 92 and 391 =
  37. 37.HCF of 80 and 12 =
  38. 38.HCF of 272 and 119 =
  39. 39.HCF of 35 and 100 =
  40. 40.HCF of 85 and 65 =

Answer key

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

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