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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 766 · 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 210 and 182 =
  2. 2.HCF of 75 and 350 =
  3. 3.HCF of 42 and 154 =
  4. 4.HCF of 42 and 39 =
  5. 5.HCF of 408 and 312 =
  6. 6.HCF of 255 and 187 =
  7. 7.HCF of 20 and 34 =
  8. 8.HCF of 190 and 110 =
  9. 9.HCF of 12 and 51 =
  10. 10.HCF of 161 and 115 =
  11. 11.HCF of 72 and 135 =
  12. 12.HCF of 198 and 286 =
  13. 13.HCF of 26 and 247 =
  14. 14.HCF of 153 and 187 =
  15. 15.HCF of 66 and 42 =
  16. 16.HCF of 34 and 85 =
  17. 17.HCF of 110 and 80 =
  18. 18.HCF of 119 and 102 =
  19. 19.HCF of 112 and 91 =
  20. 20.HCF of 40 and 96 =
  21. 21.HCF of 39 and 42 =
  22. 22.HCF of 144 and 45 =
  23. 23.HCF of 104 and 143 =
  24. 24.HCF of 40 and 34 =
  25. 25.HCF of 255 and 45 =
  26. 26.HCF of 120 and 168 =
  27. 27.HCF of 60 and 25 =
  28. 28.HCF of 204 and 85 =
  29. 29.HCF of 126 and 399 =
  30. 30.HCF of 240 and 272 =
  31. 31.HCF of 120 and 384 =
  32. 32.HCF of 8 and 44 =
  33. 33.HCF of 45 and 60 =
  34. 34.HCF of 63 and 27 =
  35. 35.HCF of 119 and 56 =
  36. 36.HCF of 105 and 294 =
  37. 37.HCF of 76 and 68 =
  38. 38.HCF of 361 and 323 =
  39. 39.HCF of 64 and 76 =
  40. 40.HCF of 289 and 85 =

Answer key

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

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