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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 405 · 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 306 and 289 =
  2. 2.HCF of 16 and 14 =
  3. 3.HCF of 187 and 220 =
  4. 4.HCF of 26 and 32 =
  5. 5.HCF of 75 and 125 =
  6. 6.HCF of 153 and 63 =
  7. 7.HCF of 100 and 45 =
  8. 8.HCF of 68 and 221 =
  9. 9.HCF of 14 and 16 =
  10. 10.HCF of 9 and 30 =
  11. 11.HCF of 60 and 130 =
  12. 12.HCF of 220 and 33 =
  13. 13.HCF of 162 and 63 =
  14. 14.HCF of 35 and 14 =
  15. 15.HCF of 408 and 384 =
  16. 16.HCF of 350 and 425 =
  17. 17.HCF of 24 and 42 =
  18. 18.HCF of 36 and 192 =
  19. 19.HCF of 22 and 38 =
  20. 20.HCF of 169 and 143 =
  21. 21.HCF of 240 and 128 =
  22. 22.HCF of 210 and 195 =
  23. 23.HCF of 56 and 88 =
  24. 24.HCF of 209 and 66 =
  25. 25.HCF of 40 and 55 =
  26. 26.HCF of 75 and 275 =
  27. 27.HCF of 48 and 360 =
  28. 28.HCF of 40 and 75 =
  29. 29.HCF of 247 and 285 =
  30. 30.HCF of 28 and 72 =
  31. 31.HCF of 154 and 224 =
  32. 32.HCF of 20 and 95 =
  33. 33.HCF of 45 and 12 =
  34. 34.HCF of 16 and 12 =
  35. 35.HCF of 119 and 84 =
  36. 36.HCF of 90 and 171 =
  37. 37.HCF of 176 and 66 =
  38. 38.HCF of 66 and 121 =
  39. 39.HCF of 126 and 140 =
  40. 40.HCF of 33 and 30 =

Answer key

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

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