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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 830 · 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 105 and 336 =
  2. 2.HCF of 234 and 180 =
  3. 3.HCF of 63 and 28 =
  4. 4.HCF of 77 and 44 =
  5. 5.HCF of 114 and 95 =
  6. 6.HCF of 342 and 288 =
  7. 7.HCF of 105 and 255 =
  8. 8.HCF of 200 and 225 =
  9. 9.HCF of 28 and 133 =
  10. 10.HCF of 39 and 208 =
  11. 11.HCF of 48 and 160 =
  12. 12.HCF of 57 and 33 =
  13. 13.HCF of 126 and 27 =
  14. 14.HCF of 110 and 170 =
  15. 15.HCF of 255 and 195 =
  16. 16.HCF of 288 and 270 =
  17. 17.HCF of 320 and 140 =
  18. 18.HCF of 66 and 90 =
  19. 19.HCF of 80 and 85 =
  20. 20.HCF of 247 and 39 =
  21. 21.HCF of 70 and 55 =
  22. 22.HCF of 65 and 234 =
  23. 23.HCF of 234 and 65 =
  24. 24.HCF of 18 and 38 =
  25. 25.HCF of 156 and 24 =
  26. 26.HCF of 90 and 54 =
  27. 27.HCF of 220 and 418 =
  28. 28.HCF of 120 and 108 =
  29. 29.HCF of 88 and 55 =
  30. 30.HCF of 105 and 60 =
  31. 31.HCF of 190 and 130 =
  32. 32.HCF of 198 and 440 =
  33. 33.HCF of 22 and 77 =
  34. 34.HCF of 264 and 288 =
  35. 35.HCF of 238 and 85 =
  36. 36.HCF of 260 and 169 =
  37. 37.HCF of 260 and 100 =
  38. 38.HCF of 64 and 40 =
  39. 39.HCF of 26 and 14 =
  40. 40.HCF of 65 and 208 =

Answer key

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

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