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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 337 · 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 14 and 22 =
  2. 2.HCF of 121 and 187 =
  3. 3.HCF of 64 and 44 =
  4. 4.HCF of 44 and 33 =
  5. 5.HCF of 30 and 24 =
  6. 6.HCF of 51 and 30 =
  7. 7.HCF of 119 and 255 =
  8. 8.HCF of 12 and 102 =
  9. 9.HCF of 135 and 105 =
  10. 10.HCF of 20 and 56 =
  11. 11.HCF of 91 and 105 =
  12. 12.HCF of 8 and 10 =
  13. 13.HCF of 16 and 36 =
  14. 14.HCF of 21 and 15 =
  15. 15.HCF of 72 and 16 =
  16. 16.HCF of 52 and 12 =
  17. 17.HCF of 70 and 190 =
  18. 18.HCF of 180 and 156 =
  19. 19.HCF of 63 and 18 =
  20. 20.HCF of 90 and 100 =
  21. 21.HCF of 28 and 91 =
  22. 22.HCF of 418 and 308 =
  23. 23.HCF of 204 and 240 =
  24. 24.HCF of 39 and 30 =
  25. 25.HCF of 374 and 66 =
  26. 26.HCF of 117 and 108 =
  27. 27.HCF of 32 and 104 =
  28. 28.HCF of 112 and 288 =
  29. 29.HCF of 72 and 66 =
  30. 30.HCF of 437 and 46 =
  31. 31.HCF of 85 and 50 =
  32. 32.HCF of 49 and 77 =
  33. 33.HCF of 204 and 48 =
  34. 34.HCF of 60 and 36 =
  35. 35.HCF of 255 and 180 =
  36. 36.HCF of 208 and 169 =
  37. 37.HCF of 50 and 55 =
  38. 38.HCF of 60 and 80 =
  39. 39.HCF of 40 and 16 =
  40. 40.HCF of 125 and 450 =

Answer key

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

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