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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 99 · 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 187 and 85 =
  2. 2.HCF of 28 and 238 =
  3. 3.HCF of 104 and 96 =
  4. 4.HCF of 63 and 99 =
  5. 5.HCF of 160 and 112 =
  6. 6.HCF of 76 and 44 =
  7. 7.HCF of 45 and 35 =
  8. 8.HCF of 36 and 156 =
  9. 9.HCF of 115 and 161 =
  10. 10.HCF of 48 and 256 =
  11. 11.HCF of 247 and 228 =
  12. 12.HCF of 30 and 12 =
  13. 13.HCF of 98 and 28 =
  14. 14.HCF of 12 and 14 =
  15. 15.HCF of 66 and 18 =
  16. 16.HCF of 273 and 105 =
  17. 17.HCF of 119 and 68 =
  18. 18.HCF of 14 and 40 =
  19. 19.HCF of 84 and 102 =
  20. 20.HCF of 63 and 90 =
  21. 21.HCF of 228 and 72 =
  22. 22.HCF of 80 and 130 =
  23. 23.HCF of 18 and 38 =
  24. 24.HCF of 54 and 102 =
  25. 25.HCF of 196 and 70 =
  26. 26.HCF of 20 and 34 =
  27. 27.HCF of 70 and 56 =
  28. 28.HCF of 6 and 34 =
  29. 29.HCF of 63 and 81 =
  30. 30.HCF of 55 and 30 =
  31. 31.HCF of 98 and 105 =
  32. 32.HCF of 66 and 60 =
  33. 33.HCF of 45 and 153 =
  34. 34.HCF of 45 and 55 =
  35. 35.HCF of 132 and 60 =
  36. 36.HCF of 20 and 24 =
  37. 37.HCF of 16 and 28 =
  38. 38.HCF of 480 and 408 =
  39. 39.HCF of 52 and 65 =
  40. 40.HCF of 48 and 78 =

Answer key

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

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