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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 355 · 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 85 and 55 =
  2. 2.HCF of 247 and 38 =
  3. 3.HCF of 247 and 361 =
  4. 4.HCF of 48 and 30 =
  5. 5.HCF of 182 and 221 =
  6. 6.HCF of 70 and 119 =
  7. 7.HCF of 132 and 228 =
  8. 8.HCF of 45 and 63 =
  9. 9.HCF of 180 and 160 =
  10. 10.HCF of 9 and 51 =
  11. 11.HCF of 81 and 36 =
  12. 12.HCF of 64 and 68 =
  13. 13.HCF of 24 and 18 =
  14. 14.HCF of 114 and 60 =
  15. 15.HCF of 28 and 70 =
  16. 16.HCF of 220 and 60 =
  17. 17.HCF of 242 and 352 =
  18. 18.HCF of 91 and 77 =
  19. 19.HCF of 154 and 182 =
  20. 20.HCF of 136 and 128 =
  21. 21.HCF of 95 and 85 =
  22. 22.HCF of 21 and 9 =
  23. 23.HCF of 54 and 306 =
  24. 24.HCF of 325 and 275 =
  25. 25.HCF of 160 and 170 =
  26. 26.HCF of 330 and 154 =
  27. 27.HCF of 49 and 140 =
  28. 28.HCF of 133 and 112 =
  29. 29.HCF of 276 and 253 =
  30. 30.HCF of 18 and 57 =
  31. 31.HCF of 108 and 192 =
  32. 32.HCF of 425 and 275 =
  33. 33.HCF of 88 and 160 =
  34. 34.HCF of 209 and 323 =
  35. 35.HCF of 260 and 221 =
  36. 36.HCF of 63 and 77 =
  37. 37.HCF of 171 and 45 =
  38. 38.HCF of 171 and 180 =
  39. 39.HCF of 286 and 154 =
  40. 40.HCF of 500 and 475 =

Answer key

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

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