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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 589 · 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 30 and 100 =
  2. 2.HCF of 252 and 90 =
  3. 3.HCF of 25 and 65 =
  4. 4.HCF of 85 and 289 =
  5. 5.HCF of 84 and 30 =
  6. 6.HCF of 4 and 10 =
  7. 7.HCF of 160 and 220 =
  8. 8.HCF of 66 and 102 =
  9. 9.HCF of 294 and 273 =
  10. 10.HCF of 320 and 176 =
  11. 11.HCF of 105 and 91 =
  12. 12.HCF of 304 and 32 =
  13. 13.HCF of 110 and 33 =
  14. 14.HCF of 162 and 63 =
  15. 15.HCF of 25 and 55 =
  16. 16.HCF of 14 and 77 =
  17. 17.HCF of 204 and 60 =
  18. 18.HCF of 44 and 48 =
  19. 19.HCF of 289 and 170 =
  20. 20.HCF of 35 and 28 =
  21. 21.HCF of 208 and 224 =
  22. 22.HCF of 50 and 70 =
  23. 23.HCF of 264 and 336 =
  24. 24.HCF of 33 and 154 =
  25. 25.HCF of 396 and 286 =
  26. 26.HCF of 144 and 320 =
  27. 27.HCF of 98 and 56 =
  28. 28.HCF of 209 and 88 =
  29. 29.HCF of 114 and 95 =
  30. 30.HCF of 96 and 156 =
  31. 31.HCF of 198 and 77 =
  32. 32.HCF of 52 and 169 =
  33. 33.HCF of 55 and 143 =
  34. 34.HCF of 63 and 105 =
  35. 35.HCF of 330 and 176 =
  36. 36.HCF of 299 and 368 =
  37. 37.HCF of 48 and 90 =
  38. 38.HCF of 247 and 76 =
  39. 39.HCF of 143 and 66 =
  40. 40.HCF of 30 and 4 =

Answer key

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

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