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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 451 · 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 195 and 208 =
  2. 2.HCF of 255 and 45 =
  3. 3.HCF of 75 and 180 =
  4. 4.HCF of 72 and 81 =
  5. 5.HCF of 105 and 75 =
  6. 6.HCF of 12 and 57 =
  7. 7.HCF of 42 and 56 =
  8. 8.HCF of 50 and 75 =
  9. 9.HCF of 275 and 450 =
  10. 10.HCF of 221 and 130 =
  11. 11.HCF of 63 and 147 =
  12. 12.HCF of 115 and 437 =
  13. 13.HCF of 24 and 114 =
  14. 14.HCF of 30 and 78 =
  15. 15.HCF of 66 and 55 =
  16. 16.HCF of 80 and 140 =
  17. 17.HCF of 38 and 57 =
  18. 18.HCF of 285 and 45 =
  19. 19.HCF of 54 and 171 =
  20. 20.HCF of 68 and 12 =
  21. 21.HCF of 161 and 253 =
  22. 22.HCF of 68 and 51 =
  23. 23.HCF of 10 and 4 =
  24. 24.HCF of 77 and 98 =
  25. 25.HCF of 40 and 22 =
  26. 26.HCF of 119 and 112 =
  27. 27.HCF of 98 and 126 =
  28. 28.HCF of 105 and 231 =
  29. 29.HCF of 224 and 182 =
  30. 30.HCF of 20 and 44 =
  31. 31.HCF of 64 and 176 =
  32. 32.HCF of 78 and 18 =
  33. 33.HCF of 143 and 247 =
  34. 34.HCF of 190 and 150 =
  35. 35.HCF of 140 and 380 =
  36. 36.HCF of 95 and 50 =
  37. 37.HCF of 75 and 105 =
  38. 38.HCF of 399 and 126 =
  39. 39.HCF of 270 and 126 =
  40. 40.HCF of 69 and 391 =

Answer key

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

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