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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 509 · 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 90 and 102 =
  2. 2.HCF of 18 and 153 =
  3. 3.HCF of 350 and 225 =
  4. 4.HCF of 63 and 54 =
  5. 5.HCF of 27 and 171 =
  6. 6.HCF of 50 and 225 =
  7. 7.HCF of 323 and 136 =
  8. 8.HCF of 39 and 104 =
  9. 9.HCF of 54 and 45 =
  10. 10.HCF of 117 and 135 =
  11. 11.HCF of 50 and 90 =
  12. 12.HCF of 238 and 289 =
  13. 13.HCF of 352 and 154 =
  14. 14.HCF of 357 and 378 =
  15. 15.HCF of 253 and 115 =
  16. 16.HCF of 99 and 44 =
  17. 17.HCF of 90 and 72 =
  18. 18.HCF of 128 and 40 =
  19. 19.HCF of 77 and 21 =
  20. 20.HCF of 184 and 69 =
  21. 21.HCF of 126 and 119 =
  22. 22.HCF of 28 and 133 =
  23. 23.HCF of 91 and 84 =
  24. 24.HCF of 133 and 76 =
  25. 25.HCF of 34 and 8 =
  26. 26.HCF of 360 and 220 =
  27. 27.HCF of 221 and 65 =
  28. 28.HCF of 8 and 26 =
  29. 29.HCF of 12 and 34 =
  30. 30.HCF of 22 and 38 =
  31. 31.HCF of 38 and 30 =
  32. 32.HCF of 12 and 9 =
  33. 33.HCF of 276 and 391 =
  34. 34.HCF of 35 and 133 =
  35. 35.HCF of 135 and 63 =
  36. 36.HCF of 171 and 18 =
  37. 37.HCF of 228 and 156 =
  38. 38.HCF of 75 and 325 =
  39. 39.HCF of 65 and 10 =
  40. 40.HCF of 216 and 234 =

Answer key

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

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