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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 515 · 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 102 and 114 =
  2. 2.HCF of 40 and 36 =
  3. 3.HCF of 475 and 325 =
  4. 4.HCF of 220 and 121 =
  5. 5.HCF of 192 and 156 =
  6. 6.HCF of 65 and 208 =
  7. 7.HCF of 50 and 15 =
  8. 8.HCF of 184 and 69 =
  9. 9.HCF of 38 and 18 =
  10. 10.HCF of 112 and 80 =
  11. 11.HCF of 69 and 92 =
  12. 12.HCF of 54 and 144 =
  13. 13.HCF of 304 and 209 =
  14. 14.HCF of 228 and 48 =
  15. 15.HCF of 38 and 57 =
  16. 16.HCF of 247 and 95 =
  17. 17.HCF of 54 and 51 =
  18. 18.HCF of 85 and 204 =
  19. 19.HCF of 80 and 15 =
  20. 20.HCF of 36 and 63 =
  21. 21.HCF of 28 and 21 =
  22. 22.HCF of 255 and 34 =
  23. 23.HCF of 112 and 208 =
  24. 24.HCF of 85 and 289 =
  25. 25.HCF of 440 and 154 =
  26. 26.HCF of 105 and 165 =
  27. 27.HCF of 143 and 195 =
  28. 28.HCF of 378 and 147 =
  29. 29.HCF of 20 and 22 =
  30. 30.HCF of 36 and 270 =
  31. 31.HCF of 9 and 39 =
  32. 32.HCF of 63 and 14 =
  33. 33.HCF of 56 and 88 =
  34. 34.HCF of 40 and 72 =
  35. 35.HCF of 65 and 169 =
  36. 36.HCF of 64 and 20 =
  37. 37.HCF of 68 and 76 =
  38. 38.HCF of 40 and 18 =
  39. 39.HCF of 49 and 133 =
  40. 40.HCF of 60 and 70 =

Answer key

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

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