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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 764 · 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 112 and 91 =
  2. 2.HCF of 286 and 308 =
  3. 3.HCF of 260 and 100 =
  4. 4.HCF of 105 and 77 =
  5. 5.HCF of 49 and 42 =
  6. 6.HCF of 90 and 63 =
  7. 7.HCF of 65 and 55 =
  8. 8.HCF of 27 and 36 =
  9. 9.HCF of 57 and 27 =
  10. 10.HCF of 78 and 221 =
  11. 11.HCF of 315 and 84 =
  12. 12.HCF of 340 and 320 =
  13. 13.HCF of 168 and 273 =
  14. 14.HCF of 96 and 88 =
  15. 15.HCF of 10 and 22 =
  16. 16.HCF of 75 and 165 =
  17. 17.HCF of 285 and 323 =
  18. 18.HCF of 80 and 76 =
  19. 19.HCF of 91 and 126 =
  20. 20.HCF of 40 and 152 =
  21. 21.HCF of 85 and 25 =
  22. 22.HCF of 104 and 91 =
  23. 23.HCF of 108 and 192 =
  24. 24.HCF of 216 and 264 =
  25. 25.HCF of 12 and 78 =
  26. 26.HCF of 95 and 45 =
  27. 27.HCF of 114 and 18 =
  28. 28.HCF of 220 and 180 =
  29. 29.HCF of 220 and 286 =
  30. 30.HCF of 169 and 65 =
  31. 31.HCF of 112 and 120 =
  32. 32.HCF of 16 and 10 =
  33. 33.HCF of 27 and 45 =
  34. 34.HCF of 64 and 304 =
  35. 35.HCF of 56 and 16 =
  36. 36.HCF of 14 and 119 =
  37. 37.HCF of 64 and 144 =
  38. 38.HCF of 210 and 98 =
  39. 39.HCF of 54 and 84 =
  40. 40.HCF of 36 and 21 =

Answer key

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

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