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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 170 · 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 96 and 408 =
  2. 2.HCF of 154 and 330 =
  3. 3.HCF of 68 and 51 =
  4. 4.HCF of 108 and 99 =
  5. 5.HCF of 133 and 140 =
  6. 6.HCF of 32 and 56 =
  7. 7.HCF of 306 and 90 =
  8. 8.HCF of 380 and 160 =
  9. 9.HCF of 200 and 260 =
  10. 10.HCF of 117 and 130 =
  11. 11.HCF of 361 and 76 =
  12. 12.HCF of 85 and 95 =
  13. 13.HCF of 34 and 153 =
  14. 14.HCF of 221 and 68 =
  15. 15.HCF of 357 and 252 =
  16. 16.HCF of 36 and 120 =
  17. 17.HCF of 66 and 187 =
  18. 18.HCF of 46 and 299 =
  19. 19.HCF of 408 and 336 =
  20. 20.HCF of 24 and 88 =
  21. 21.HCF of 88 and 187 =
  22. 22.HCF of 154 and 182 =
  23. 23.HCF of 77 and 132 =
  24. 24.HCF of 432 and 408 =
  25. 25.HCF of 6 and 40 =
  26. 26.HCF of 189 and 294 =
  27. 27.HCF of 110 and 33 =
  28. 28.HCF of 42 and 266 =
  29. 29.HCF of 437 and 276 =
  30. 30.HCF of 143 and 52 =
  31. 31.HCF of 156 and 96 =
  32. 32.HCF of 255 and 75 =
  33. 33.HCF of 96 and 204 =
  34. 34.HCF of 162 and 234 =
  35. 35.HCF of 84 and 66 =
  36. 36.HCF of 25 and 30 =
  37. 37.HCF of 54 and 45 =
  38. 38.HCF of 45 and 48 =
  39. 39.HCF of 336 and 105 =
  40. 40.HCF of 100 and 175 =

Answer key

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

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