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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 384 · 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 50 and 90 =
  2. 2.HCF of 64 and 12 =
  3. 3.HCF of 153 and 72 =
  4. 4.HCF of 4 and 30 =
  5. 5.HCF of 308 and 198 =
  6. 6.HCF of 221 and 52 =
  7. 7.HCF of 136 and 255 =
  8. 8.HCF of 66 and 54 =
  9. 9.HCF of 195 and 143 =
  10. 10.HCF of 32 and 18 =
  11. 11.HCF of 30 and 95 =
  12. 12.HCF of 112 and 154 =
  13. 13.HCF of 400 and 475 =
  14. 14.HCF of 192 and 120 =
  15. 15.HCF of 84 and 273 =
  16. 16.HCF of 456 and 216 =
  17. 17.HCF of 126 and 133 =
  18. 18.HCF of 153 and 323 =
  19. 19.HCF of 90 and 162 =
  20. 20.HCF of 192 and 84 =
  21. 21.HCF of 90 and 84 =
  22. 22.HCF of 56 and 105 =
  23. 23.HCF of 60 and 95 =
  24. 24.HCF of 195 and 255 =
  25. 25.HCF of 42 and 51 =
  26. 26.HCF of 27 and 99 =
  27. 27.HCF of 54 and 198 =
  28. 28.HCF of 323 and 187 =
  29. 29.HCF of 171 and 247 =
  30. 30.HCF of 22 and 121 =
  31. 31.HCF of 126 and 133 =
  32. 32.HCF of 247 and 221 =
  33. 33.HCF of 460 and 299 =
  34. 34.HCF of 48 and 42 =
  35. 35.HCF of 273 and 378 =
  36. 36.HCF of 24 and 39 =
  37. 37.HCF of 105 and 255 =
  38. 38.HCF of 8 and 28 =
  39. 39.HCF of 208 and 320 =
  40. 40.HCF of 8 and 14 =

Answer key

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

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