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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 650 · 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 264 and 154 =
  2. 2.HCF of 221 and 238 =
  3. 3.HCF of 30 and 38 =
  4. 4.HCF of 36 and 78 =
  5. 5.HCF of 66 and 55 =
  6. 6.HCF of 110 and 100 =
  7. 7.HCF of 36 and 153 =
  8. 8.HCF of 135 and 105 =
  9. 9.HCF of 105 and 90 =
  10. 10.HCF of 57 and 133 =
  11. 11.HCF of 105 and 195 =
  12. 12.HCF of 192 and 108 =
  13. 13.HCF of 136 and 152 =
  14. 14.HCF of 273 and 336 =
  15. 15.HCF of 150 and 170 =
  16. 16.HCF of 238 and 168 =
  17. 17.HCF of 98 and 77 =
  18. 18.HCF of 64 and 176 =
  19. 19.HCF of 8 and 10 =
  20. 20.HCF of 45 and 57 =
  21. 21.HCF of 144 and 204 =
  22. 22.HCF of 84 and 266 =
  23. 23.HCF of 88 and 242 =
  24. 24.HCF of 114 and 24 =
  25. 25.HCF of 42 and 48 =
  26. 26.HCF of 30 and 35 =
  27. 27.HCF of 273 and 399 =
  28. 28.HCF of 136 and 104 =
  29. 29.HCF of 21 and 15 =
  30. 30.HCF of 144 and 104 =
  31. 31.HCF of 6 and 21 =
  32. 32.HCF of 63 and 294 =
  33. 33.HCF of 85 and 20 =
  34. 34.HCF of 28 and 154 =
  35. 35.HCF of 162 and 360 =
  36. 36.HCF of 189 and 105 =
  37. 37.HCF of 361 and 38 =
  38. 38.HCF of 10 and 25 =
  39. 39.HCF of 18 and 15 =
  40. 40.HCF of 266 and 57 =

Answer key

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

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