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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 708 · 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 30 and 54 =
  2. 2.HCF of 304 and 323 =
  3. 3.HCF of 322 and 437 =
  4. 4.HCF of 60 and 72 =
  5. 5.HCF of 68 and 72 =
  6. 6.HCF of 209 and 220 =
  7. 7.HCF of 190 and 160 =
  8. 8.HCF of 285 and 304 =
  9. 9.HCF of 55 and 15 =
  10. 10.HCF of 25 and 55 =
  11. 11.HCF of 30 and 72 =
  12. 12.HCF of 105 and 133 =
  13. 13.HCF of 50 and 130 =
  14. 14.HCF of 425 and 175 =
  15. 15.HCF of 57 and 133 =
  16. 16.HCF of 66 and 102 =
  17. 17.HCF of 361 and 38 =
  18. 18.HCF of 209 and 121 =
  19. 19.HCF of 50 and 15 =
  20. 20.HCF of 51 and 30 =
  21. 21.HCF of 48 and 156 =
  22. 22.HCF of 40 and 28 =
  23. 23.HCF of 126 and 196 =
  24. 24.HCF of 272 and 128 =
  25. 25.HCF of 315 and 294 =
  26. 26.HCF of 288 and 264 =
  27. 27.HCF of 345 and 92 =
  28. 28.HCF of 99 and 162 =
  29. 29.HCF of 35 and 25 =
  30. 30.HCF of 117 and 91 =
  31. 31.HCF of 104 and 72 =
  32. 32.HCF of 165 and 210 =
  33. 33.HCF of 180 and 380 =
  34. 34.HCF of 70 and 25 =
  35. 35.HCF of 56 and 91 =
  36. 36.HCF of 26 and 247 =
  37. 37.HCF of 200 and 70 =
  38. 38.HCF of 195 and 30 =
  39. 39.HCF of 48 and 84 =
  40. 40.HCF of 306 and 85 =

Answer key

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

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