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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 762 · 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 143 and 234 =
  2. 2.HCF of 80 and 260 =
  3. 3.HCF of 280 and 100 =
  4. 4.HCF of 45 and 24 =
  5. 5.HCF of 50 and 125 =
  6. 6.HCF of 208 and 117 =
  7. 7.HCF of 133 and 91 =
  8. 8.HCF of 91 and 140 =
  9. 9.HCF of 51 and 6 =
  10. 10.HCF of 315 and 336 =
  11. 11.HCF of 190 and 140 =
  12. 12.HCF of 361 and 247 =
  13. 13.HCF of 38 and 133 =
  14. 14.HCF of 36 and 126 =
  15. 15.HCF of 312 and 96 =
  16. 16.HCF of 252 and 238 =
  17. 17.HCF of 6 and 51 =
  18. 18.HCF of 247 and 342 =
  19. 19.HCF of 336 and 360 =
  20. 20.HCF of 68 and 221 =
  21. 21.HCF of 27 and 21 =
  22. 22.HCF of 40 and 15 =
  23. 23.HCF of 40 and 35 =
  24. 24.HCF of 102 and 36 =
  25. 25.HCF of 76 and 48 =
  26. 26.HCF of 50 and 475 =
  27. 27.HCF of 24 and 152 =
  28. 28.HCF of 198 and 440 =
  29. 29.HCF of 195 and 30 =
  30. 30.HCF of 187 and 51 =
  31. 31.HCF of 70 and 182 =
  32. 32.HCF of 216 and 192 =
  33. 33.HCF of 425 and 400 =
  34. 34.HCF of 65 and 10 =
  35. 35.HCF of 132 and 24 =
  36. 36.HCF of 30 and 48 =
  37. 37.HCF of 119 and 68 =
  38. 38.HCF of 323 and 170 =
  39. 39.HCF of 68 and 32 =
  40. 40.HCF of 140 and 220 =

Answer key

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

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