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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 387 · 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 110 and 90 =
  2. 2.HCF of 209 and 220 =
  3. 3.HCF of 95 and 152 =
  4. 4.HCF of 36 and 24 =
  5. 5.HCF of 140 and 77 =
  6. 6.HCF of 289 and 340 =
  7. 7.HCF of 256 and 208 =
  8. 8.HCF of 273 and 168 =
  9. 9.HCF of 40 and 38 =
  10. 10.HCF of 36 and 78 =
  11. 11.HCF of 16 and 18 =
  12. 12.HCF of 85 and 90 =
  13. 13.HCF of 21 and 33 =
  14. 14.HCF of 342 and 209 =
  15. 15.HCF of 84 and 114 =
  16. 16.HCF of 85 and 70 =
  17. 17.HCF of 57 and 15 =
  18. 18.HCF of 14 and 30 =
  19. 19.HCF of 120 and 102 =
  20. 20.HCF of 147 and 105 =
  21. 21.HCF of 54 and 15 =
  22. 22.HCF of 36 and 162 =
  23. 23.HCF of 425 and 300 =
  24. 24.HCF of 110 and 242 =
  25. 25.HCF of 99 and 108 =
  26. 26.HCF of 266 and 252 =
  27. 27.HCF of 104 and 117 =
  28. 28.HCF of 169 and 104 =
  29. 29.HCF of 64 and 52 =
  30. 30.HCF of 238 and 140 =
  31. 31.HCF of 380 and 300 =
  32. 32.HCF of 72 and 112 =
  33. 33.HCF of 140 and 100 =
  34. 34.HCF of 24 and 152 =
  35. 35.HCF of 68 and 20 =
  36. 36.HCF of 204 and 144 =
  37. 37.HCF of 162 and 198 =
  38. 38.HCF of 289 and 102 =
  39. 39.HCF of 90 and 108 =
  40. 40.HCF of 171 and 27 =

Answer key

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

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