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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 46 · 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 225 and 250 =
  2. 2.HCF of 60 and 320 =
  3. 3.HCF of 285 and 195 =
  4. 4.HCF of 119 and 126 =
  5. 5.HCF of 132 and 192 =
  6. 6.HCF of 352 and 286 =
  7. 7.HCF of 198 and 306 =
  8. 8.HCF of 240 and 64 =
  9. 9.HCF of 14 and 38 =
  10. 10.HCF of 400 and 125 =
  11. 11.HCF of 220 and 100 =
  12. 12.HCF of 30 and 80 =
  13. 13.HCF of 144 and 120 =
  14. 14.HCF of 253 and 368 =
  15. 15.HCF of 440 and 66 =
  16. 16.HCF of 170 and 50 =
  17. 17.HCF of 48 and 128 =
  18. 18.HCF of 40 and 36 =
  19. 19.HCF of 187 and 176 =
  20. 20.HCF of 102 and 108 =
  21. 21.HCF of 45 and 80 =
  22. 22.HCF of 108 and 24 =
  23. 23.HCF of 65 and 208 =
  24. 24.HCF of 418 and 176 =
  25. 25.HCF of 399 and 189 =
  26. 26.HCF of 247 and 114 =
  27. 27.HCF of 200 and 60 =
  28. 28.HCF of 336 and 399 =
  29. 29.HCF of 80 and 140 =
  30. 30.HCF of 77 and 105 =
  31. 31.HCF of 42 and 357 =
  32. 32.HCF of 88 and 112 =
  33. 33.HCF of 120 and 54 =
  34. 34.HCF of 18 and 120 =
  35. 35.HCF of 12 and 9 =
  36. 36.HCF of 242 and 132 =
  37. 37.HCF of 78 and 84 =
  38. 38.HCF of 147 and 273 =
  39. 39.HCF of 60 and 8 =
  40. 40.HCF of 170 and 221 =

Answer key

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

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