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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 96 · 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 135 and 75 =
  2. 2.HCF of 92 and 69 =
  3. 3.HCF of 84 and 189 =
  4. 4.HCF of 187 and 33 =
  5. 5.HCF of 147 and 63 =
  6. 6.HCF of 208 and 176 =
  7. 7.HCF of 121 and 198 =
  8. 8.HCF of 36 and 24 =
  9. 9.HCF of 72 and 96 =
  10. 10.HCF of 252 and 162 =
  11. 11.HCF of 27 and 18 =
  12. 12.HCF of 315 and 84 =
  13. 13.HCF of 126 and 147 =
  14. 14.HCF of 154 and 66 =
  15. 15.HCF of 55 and 132 =
  16. 16.HCF of 228 and 72 =
  17. 17.HCF of 345 and 161 =
  18. 18.HCF of 112 and 136 =
  19. 19.HCF of 306 and 221 =
  20. 20.HCF of 272 and 288 =
  21. 21.HCF of 399 and 294 =
  22. 22.HCF of 175 and 125 =
  23. 23.HCF of 180 and 204 =
  24. 24.HCF of 12 and 21 =
  25. 25.HCF of 170 and 50 =
  26. 26.HCF of 75 and 105 =
  27. 27.HCF of 63 and 98 =
  28. 28.HCF of 306 and 144 =
  29. 29.HCF of 96 and 72 =
  30. 30.HCF of 26 and 20 =
  31. 31.HCF of 336 and 399 =
  32. 32.HCF of 95 and 75 =
  33. 33.HCF of 105 and 240 =
  34. 34.HCF of 92 and 207 =
  35. 35.HCF of 80 and 256 =
  36. 36.HCF of 10 and 24 =
  37. 37.HCF of 45 and 51 =
  38. 38.HCF of 18 and 28 =
  39. 39.HCF of 114 and 361 =
  40. 40.HCF of 56 and 88 =

Answer key

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

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