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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 222 · 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 24 and 108 =
  2. 2.HCF of 171 and 76 =
  3. 3.HCF of 68 and 289 =
  4. 4.HCF of 108 and 102 =
  5. 5.HCF of 96 and 54 =
  6. 6.HCF of 64 and 24 =
  7. 7.HCF of 20 and 64 =
  8. 8.HCF of 15 and 6 =
  9. 9.HCF of 140 and 30 =
  10. 10.HCF of 220 and 380 =
  11. 11.HCF of 85 and 187 =
  12. 12.HCF of 8 and 36 =
  13. 13.HCF of 150 and 160 =
  14. 14.HCF of 35 and 91 =
  15. 15.HCF of 80 and 176 =
  16. 16.HCF of 84 and 90 =
  17. 17.HCF of 39 and 208 =
  18. 18.HCF of 30 and 12 =
  19. 19.HCF of 25 and 40 =
  20. 20.HCF of 221 and 169 =
  21. 21.HCF of 119 and 133 =
  22. 22.HCF of 68 and 16 =
  23. 23.HCF of 60 and 51 =
  24. 24.HCF of 345 and 161 =
  25. 25.HCF of 250 and 175 =
  26. 26.HCF of 399 and 252 =
  27. 27.HCF of 180 and 50 =
  28. 28.HCF of 247 and 342 =
  29. 29.HCF of 33 and 39 =
  30. 30.HCF of 90 and 55 =
  31. 31.HCF of 176 and 320 =
  32. 32.HCF of 114 and 323 =
  33. 33.HCF of 330 and 286 =
  34. 34.HCF of 418 and 154 =
  35. 35.HCF of 160 and 110 =
  36. 36.HCF of 96 and 208 =
  37. 37.HCF of 325 and 200 =
  38. 38.HCF of 140 and 360 =
  39. 39.HCF of 42 and 28 =
  40. 40.HCF of 180 and 70 =

Answer key

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

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