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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 639 · 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 72 and 104 =
  2. 2.HCF of 221 and 289 =
  3. 3.HCF of 224 and 70 =
  4. 4.HCF of 276 and 299 =
  5. 5.HCF of 69 and 299 =
  6. 6.HCF of 96 and 152 =
  7. 7.HCF of 60 and 110 =
  8. 8.HCF of 64 and 24 =
  9. 9.HCF of 64 and 12 =
  10. 10.HCF of 39 and 247 =
  11. 11.HCF of 90 and 42 =
  12. 12.HCF of 231 and 126 =
  13. 13.HCF of 72 and 54 =
  14. 14.HCF of 96 and 132 =
  15. 15.HCF of 345 and 46 =
  16. 16.HCF of 323 and 266 =
  17. 17.HCF of 165 and 225 =
  18. 18.HCF of 33 and 154 =
  19. 19.HCF of 100 and 240 =
  20. 20.HCF of 154 and 42 =
  21. 21.HCF of 99 and 121 =
  22. 22.HCF of 80 and 72 =
  23. 23.HCF of 117 and 72 =
  24. 24.HCF of 133 and 63 =
  25. 25.HCF of 70 and 49 =
  26. 26.HCF of 30 and 4 =
  27. 27.HCF of 38 and 133 =
  28. 28.HCF of 28 and 105 =
  29. 29.HCF of 65 and 10 =
  30. 30.HCF of 24 and 64 =
  31. 31.HCF of 144 and 228 =
  32. 32.HCF of 90 and 25 =
  33. 33.HCF of 140 and 60 =
  34. 34.HCF of 33 and 88 =
  35. 35.HCF of 90 and 24 =
  36. 36.HCF of 24 and 52 =
  37. 37.HCF of 84 and 357 =
  38. 38.HCF of 52 and 40 =
  39. 39.HCF of 195 and 150 =
  40. 40.HCF of 57 and 323 =

Answer key

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

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