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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 58 · 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 437 and 345 =
  2. 2.HCF of 336 and 216 =
  3. 3.HCF of 112 and 119 =
  4. 4.HCF of 170 and 187 =
  5. 5.HCF of 221 and 102 =
  6. 6.HCF of 91 and 49 =
  7. 7.HCF of 60 and 45 =
  8. 8.HCF of 399 and 105 =
  9. 9.HCF of 64 and 40 =
  10. 10.HCF of 77 and 44 =
  11. 11.HCF of 399 and 273 =
  12. 12.HCF of 12 and 44 =
  13. 13.HCF of 48 and 132 =
  14. 14.HCF of 325 and 50 =
  15. 15.HCF of 138 and 299 =
  16. 16.HCF of 165 and 195 =
  17. 17.HCF of 140 and 30 =
  18. 18.HCF of 21 and 49 =
  19. 19.HCF of 48 and 32 =
  20. 20.HCF of 12 and 26 =
  21. 21.HCF of 189 and 105 =
  22. 22.HCF of 342 and 95 =
  23. 23.HCF of 63 and 140 =
  24. 24.HCF of 345 and 437 =
  25. 25.HCF of 176 and 286 =
  26. 26.HCF of 95 and 80 =
  27. 27.HCF of 304 and 80 =
  28. 28.HCF of 286 and 396 =
  29. 29.HCF of 437 and 391 =
  30. 30.HCF of 46 and 437 =
  31. 31.HCF of 440 and 286 =
  32. 32.HCF of 135 and 75 =
  33. 33.HCF of 196 and 126 =
  34. 34.HCF of 153 and 54 =
  35. 35.HCF of 36 and 76 =
  36. 36.HCF of 72 and 234 =
  37. 37.HCF of 22 and 32 =
  38. 38.HCF of 38 and 171 =
  39. 39.HCF of 408 and 72 =
  40. 40.HCF of 57 and 39 =

Answer key

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

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