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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 792 · 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 221 and 204 =
  2. 2.HCF of 128 and 80 =
  3. 3.HCF of 92 and 115 =
  4. 4.HCF of 275 and 175 =
  5. 5.HCF of 300 and 80 =
  6. 6.HCF of 38 and 12 =
  7. 7.HCF of 70 and 77 =
  8. 8.HCF of 391 and 322 =
  9. 9.HCF of 38 and 95 =
  10. 10.HCF of 121 and 33 =
  11. 11.HCF of 180 and 99 =
  12. 12.HCF of 165 and 210 =
  13. 13.HCF of 30 and 102 =
  14. 14.HCF of 132 and 374 =
  15. 15.HCF of 21 and 6 =
  16. 16.HCF of 51 and 39 =
  17. 17.HCF of 102 and 12 =
  18. 18.HCF of 105 and 75 =
  19. 19.HCF of 187 and 102 =
  20. 20.HCF of 160 and 150 =
  21. 21.HCF of 380 and 140 =
  22. 22.HCF of 30 and 84 =
  23. 23.HCF of 66 and 286 =
  24. 24.HCF of 75 and 135 =
  25. 25.HCF of 187 and 66 =
  26. 26.HCF of 55 and 22 =
  27. 27.HCF of 126 and 154 =
  28. 28.HCF of 189 and 210 =
  29. 29.HCF of 14 and 26 =
  30. 30.HCF of 126 and 133 =
  31. 31.HCF of 475 and 225 =
  32. 32.HCF of 432 and 168 =
  33. 33.HCF of 70 and 110 =
  34. 34.HCF of 77 and 220 =
  35. 35.HCF of 63 and 399 =
  36. 36.HCF of 156 and 48 =
  37. 37.HCF of 90 and 55 =
  38. 38.HCF of 16 and 24 =
  39. 39.HCF of 238 and 153 =
  40. 40.HCF of 16 and 24 =

Answer key

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

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