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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 664 · 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 264 and 192 =
  2. 2.HCF of 75 and 80 =
  3. 3.HCF of 221 and 195 =
  4. 4.HCF of 60 and 195 =
  5. 5.HCF of 208 and 112 =
  6. 6.HCF of 49 and 112 =
  7. 7.HCF of 84 and 182 =
  8. 8.HCF of 21 and 18 =
  9. 9.HCF of 176 and 128 =
  10. 10.HCF of 60 and 16 =
  11. 11.HCF of 27 and 51 =
  12. 12.HCF of 80 and 70 =
  13. 13.HCF of 150 and 125 =
  14. 14.HCF of 90 and 66 =
  15. 15.HCF of 156 and 169 =
  16. 16.HCF of 57 and 39 =
  17. 17.HCF of 161 and 460 =
  18. 18.HCF of 135 and 153 =
  19. 19.HCF of 270 and 105 =
  20. 20.HCF of 126 and 147 =
  21. 21.HCF of 27 and 6 =
  22. 22.HCF of 38 and 171 =
  23. 23.HCF of 165 and 88 =
  24. 24.HCF of 72 and 264 =
  25. 25.HCF of 288 and 408 =
  26. 26.HCF of 42 and 35 =
  27. 27.HCF of 90 and 96 =
  28. 28.HCF of 84 and 204 =
  29. 29.HCF of 57 and 45 =
  30. 30.HCF of 285 and 105 =
  31. 31.HCF of 240 and 45 =
  32. 32.HCF of 102 and 18 =
  33. 33.HCF of 143 and 220 =
  34. 34.HCF of 75 and 180 =
  35. 35.HCF of 247 and 26 =
  36. 36.HCF of 209 and 114 =
  37. 37.HCF of 242 and 110 =
  38. 38.HCF of 253 and 46 =
  39. 39.HCF of 84 and 35 =
  40. 40.HCF of 168 and 132 =

Answer key

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

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