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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 17 · 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 114 and 84 =
  2. 2.HCF of 27 and 12 =
  3. 3.HCF of 77 and 21 =
  4. 4.HCF of 169 and 91 =
  5. 5.HCF of 380 and 280 =
  6. 6.HCF of 51 and 68 =
  7. 7.HCF of 130 and 221 =
  8. 8.HCF of 49 and 42 =
  9. 9.HCF of 6 and 39 =
  10. 10.HCF of 171 and 266 =
  11. 11.HCF of 247 and 260 =
  12. 12.HCF of 18 and 45 =
  13. 13.HCF of 30 and 108 =
  14. 14.HCF of 357 and 63 =
  15. 15.HCF of 64 and 152 =
  16. 16.HCF of 273 and 84 =
  17. 17.HCF of 198 and 55 =
  18. 18.HCF of 264 and 144 =
  19. 19.HCF of 18 and 63 =
  20. 20.HCF of 425 and 250 =
  21. 21.HCF of 51 and 85 =
  22. 22.HCF of 75 and 120 =
  23. 23.HCF of 323 and 57 =
  24. 24.HCF of 96 and 136 =
  25. 25.HCF of 24 and 66 =
  26. 26.HCF of 20 and 45 =
  27. 27.HCF of 285 and 225 =
  28. 28.HCF of 27 and 72 =
  29. 29.HCF of 126 and 77 =
  30. 30.HCF of 90 and 117 =
  31. 31.HCF of 187 and 102 =
  32. 32.HCF of 190 and 160 =
  33. 33.HCF of 27 and 180 =
  34. 34.HCF of 130 and 221 =
  35. 35.HCF of 78 and 30 =
  36. 36.HCF of 80 and 36 =
  37. 37.HCF of 36 and 30 =
  38. 38.HCF of 66 and 84 =
  39. 39.HCF of 176 and 304 =
  40. 40.HCF of 105 and 399 =

Answer key

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

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