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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 584 · 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 187 and 143 =
  2. 2.HCF of 28 and 24 =
  3. 3.HCF of 340 and 187 =
  4. 4.HCF of 108 and 126 =
  5. 5.HCF of 105 and 195 =
  6. 6.HCF of 76 and 44 =
  7. 7.HCF of 110 and 88 =
  8. 8.HCF of 252 and 90 =
  9. 9.HCF of 76 and 8 =
  10. 10.HCF of 315 and 84 =
  11. 11.HCF of 132 and 84 =
  12. 12.HCF of 456 and 144 =
  13. 13.HCF of 30 and 25 =
  14. 14.HCF of 54 and 60 =
  15. 15.HCF of 81 and 90 =
  16. 16.HCF of 144 and 112 =
  17. 17.HCF of 51 and 9 =
  18. 18.HCF of 30 and 66 =
  19. 19.HCF of 500 and 225 =
  20. 20.HCF of 308 and 418 =
  21. 21.HCF of 456 and 360 =
  22. 22.HCF of 105 and 133 =
  23. 23.HCF of 132 and 108 =
  24. 24.HCF of 63 and 91 =
  25. 25.HCF of 152 and 285 =
  26. 26.HCF of 88 and 33 =
  27. 27.HCF of 18 and 24 =
  28. 28.HCF of 30 and 100 =
  29. 29.HCF of 171 and 190 =
  30. 30.HCF of 325 and 50 =
  31. 31.HCF of 92 and 345 =
  32. 32.HCF of 66 and 48 =
  33. 33.HCF of 260 and 39 =
  34. 34.HCF of 238 and 56 =
  35. 35.HCF of 220 and 143 =
  36. 36.HCF of 119 and 255 =
  37. 37.HCF of 187 and 220 =
  38. 38.HCF of 20 and 38 =
  39. 39.HCF of 128 and 72 =
  40. 40.HCF of 32 and 52 =

Answer key

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

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