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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 717 · 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 128 and 24 =
  2. 2.HCF of 21 and 98 =
  3. 3.HCF of 72 and 168 =
  4. 4.HCF of 69 and 322 =
  5. 5.HCF of 190 and 209 =
  6. 6.HCF of 36 and 132 =
  7. 7.HCF of 120 and 66 =
  8. 8.HCF of 273 and 210 =
  9. 9.HCF of 38 and 285 =
  10. 10.HCF of 275 and 225 =
  11. 11.HCF of 154 and 286 =
  12. 12.HCF of 136 and 119 =
  13. 13.HCF of 300 and 40 =
  14. 14.HCF of 70 and 55 =
  15. 15.HCF of 345 and 46 =
  16. 16.HCF of 306 and 108 =
  17. 17.HCF of 384 and 264 =
  18. 18.HCF of 180 and 234 =
  19. 19.HCF of 24 and 15 =
  20. 20.HCF of 289 and 102 =
  21. 21.HCF of 204 and 48 =
  22. 22.HCF of 84 and 98 =
  23. 23.HCF of 175 and 425 =
  24. 24.HCF of 34 and 18 =
  25. 25.HCF of 221 and 26 =
  26. 26.HCF of 133 and 380 =
  27. 27.HCF of 180 and 160 =
  28. 28.HCF of 114 and 84 =
  29. 29.HCF of 40 and 12 =
  30. 30.HCF of 30 and 18 =
  31. 31.HCF of 120 and 48 =
  32. 32.HCF of 176 and 288 =
  33. 33.HCF of 102 and 42 =
  34. 34.HCF of 288 and 408 =
  35. 35.HCF of 40 and 55 =
  36. 36.HCF of 200 and 60 =
  37. 37.HCF of 77 and 42 =
  38. 38.HCF of 24 and 39 =
  39. 39.HCF of 24 and 132 =
  40. 40.HCF of 63 and 135 =

Answer key

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

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