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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 251 · 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 91 and 156 =
  2. 2.HCF of 28 and 20 =
  3. 3.HCF of 81 and 45 =
  4. 4.HCF of 133 and 112 =
  5. 5.HCF of 34 and 85 =
  6. 6.HCF of 32 and 22 =
  7. 7.HCF of 48 and 204 =
  8. 8.HCF of 156 and 60 =
  9. 9.HCF of 46 and 115 =
  10. 10.HCF of 40 and 85 =
  11. 11.HCF of 288 and 272 =
  12. 12.HCF of 48 and 88 =
  13. 13.HCF of 96 and 108 =
  14. 14.HCF of 175 and 75 =
  15. 15.HCF of 14 and 40 =
  16. 16.HCF of 70 and 196 =
  17. 17.HCF of 68 and 51 =
  18. 18.HCF of 22 and 30 =
  19. 19.HCF of 39 and 130 =
  20. 20.HCF of 24 and 180 =
  21. 21.HCF of 170 and 51 =
  22. 22.HCF of 189 and 84 =
  23. 23.HCF of 64 and 136 =
  24. 24.HCF of 18 and 63 =
  25. 25.HCF of 440 and 418 =
  26. 26.HCF of 209 and 154 =
  27. 27.HCF of 90 and 102 =
  28. 28.HCF of 8 and 36 =
  29. 29.HCF of 36 and 54 =
  30. 30.HCF of 380 and 280 =
  31. 31.HCF of 192 and 156 =
  32. 32.HCF of 340 and 153 =
  33. 33.HCF of 56 and 32 =
  34. 34.HCF of 55 and 90 =
  35. 35.HCF of 16 and 152 =
  36. 36.HCF of 150 and 45 =
  37. 37.HCF of 380 and 360 =
  38. 38.HCF of 104 and 40 =
  39. 39.HCF of 170 and 190 =
  40. 40.HCF of 209 and 342 =

Answer key

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

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