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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 339 · 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 51 and 12 =
  2. 2.HCF of 304 and 361 =
  3. 3.HCF of 204 and 289 =
  4. 4.HCF of 285 and 209 =
  5. 5.HCF of 125 and 325 =
  6. 6.HCF of 180 and 54 =
  7. 7.HCF of 240 and 176 =
  8. 8.HCF of 182 and 84 =
  9. 9.HCF of 140 and 126 =
  10. 10.HCF of 152 and 96 =
  11. 11.HCF of 22 and 121 =
  12. 12.HCF of 150 and 195 =
  13. 13.HCF of 112 and 304 =
  14. 14.HCF of 176 and 128 =
  15. 15.HCF of 299 and 368 =
  16. 16.HCF of 36 and 8 =
  17. 17.HCF of 125 and 225 =
  18. 18.HCF of 117 and 171 =
  19. 19.HCF of 88 and 56 =
  20. 20.HCF of 68 and 24 =
  21. 21.HCF of 40 and 68 =
  22. 22.HCF of 108 and 198 =
  23. 23.HCF of 500 and 175 =
  24. 24.HCF of 190 and 110 =
  25. 25.HCF of 55 and 90 =
  26. 26.HCF of 132 and 110 =
  27. 27.HCF of 204 and 96 =
  28. 28.HCF of 140 and 119 =
  29. 29.HCF of 88 and 110 =
  30. 30.HCF of 105 and 77 =
  31. 31.HCF of 20 and 6 =
  32. 32.HCF of 54 and 90 =
  33. 33.HCF of 368 and 345 =
  34. 34.HCF of 84 and 35 =
  35. 35.HCF of 238 and 84 =
  36. 36.HCF of 14 and 35 =
  37. 37.HCF of 69 and 115 =
  38. 38.HCF of 42 and 357 =
  39. 39.HCF of 162 and 252 =
  40. 40.HCF of 500 and 275 =

Answer key

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

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