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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 596 · 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 255 and 60 =
  2. 2.HCF of 52 and 40 =
  3. 3.HCF of 288 and 54 =
  4. 4.HCF of 204 and 289 =
  5. 5.HCF of 238 and 56 =
  6. 6.HCF of 52 and 12 =
  7. 7.HCF of 28 and 126 =
  8. 8.HCF of 30 and 255 =
  9. 9.HCF of 119 and 102 =
  10. 10.HCF of 38 and 361 =
  11. 11.HCF of 60 and 18 =
  12. 12.HCF of 180 and 380 =
  13. 13.HCF of 315 and 399 =
  14. 14.HCF of 299 and 184 =
  15. 15.HCF of 136 and 120 =
  16. 16.HCF of 99 and 153 =
  17. 17.HCF of 440 and 154 =
  18. 18.HCF of 63 and 273 =
  19. 19.HCF of 221 and 143 =
  20. 20.HCF of 165 and 30 =
  21. 21.HCF of 27 and 45 =
  22. 22.HCF of 266 and 42 =
  23. 23.HCF of 92 and 253 =
  24. 24.HCF of 126 and 54 =
  25. 25.HCF of 180 and 153 =
  26. 26.HCF of 210 and 255 =
  27. 27.HCF of 187 and 153 =
  28. 28.HCF of 91 and 234 =
  29. 29.HCF of 56 and 60 =
  30. 30.HCF of 56 and 32 =
  31. 31.HCF of 72 and 27 =
  32. 32.HCF of 156 and 240 =
  33. 33.HCF of 112 and 154 =
  34. 34.HCF of 63 and 133 =
  35. 35.HCF of 66 and 30 =
  36. 36.HCF of 165 and 77 =
  37. 37.HCF of 24 and 102 =
  38. 38.HCF of 91 and 156 =
  39. 39.HCF of 90 and 252 =
  40. 40.HCF of 72 and 126 =

Answer key

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

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