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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 117 · 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 209 and 110 =
  2. 2.HCF of 154 and 44 =
  3. 3.HCF of 121 and 176 =
  4. 4.HCF of 221 and 51 =
  5. 5.HCF of 22 and 14 =
  6. 6.HCF of 36 and 171 =
  7. 7.HCF of 48 and 320 =
  8. 8.HCF of 221 and 119 =
  9. 9.HCF of 224 and 154 =
  10. 10.HCF of 342 and 36 =
  11. 11.HCF of 28 and 64 =
  12. 12.HCF of 108 and 228 =
  13. 13.HCF of 440 and 374 =
  14. 14.HCF of 81 and 63 =
  15. 15.HCF of 234 and 126 =
  16. 16.HCF of 72 and 64 =
  17. 17.HCF of 45 and 171 =
  18. 18.HCF of 80 and 220 =
  19. 19.HCF of 208 and 143 =
  20. 20.HCF of 24 and 136 =
  21. 21.HCF of 88 and 120 =
  22. 22.HCF of 12 and 68 =
  23. 23.HCF of 55 and 88 =
  24. 24.HCF of 102 and 114 =
  25. 25.HCF of 119 and 14 =
  26. 26.HCF of 165 and 121 =
  27. 27.HCF of 308 and 418 =
  28. 28.HCF of 182 and 39 =
  29. 29.HCF of 231 and 42 =
  30. 30.HCF of 18 and 21 =
  31. 31.HCF of 60 and 400 =
  32. 32.HCF of 65 and 91 =
  33. 33.HCF of 75 and 55 =
  34. 34.HCF of 260 and 60 =
  35. 35.HCF of 38 and 28 =
  36. 36.HCF of 250 and 75 =
  37. 37.HCF of 140 and 40 =
  38. 38.HCF of 121 and 187 =
  39. 39.HCF of 176 and 154 =
  40. 40.HCF of 368 and 345 =

Answer key

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

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