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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 579 · 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 144 and 304 =
  2. 2.HCF of 39 and 12 =
  3. 3.HCF of 96 and 360 =
  4. 4.HCF of 180 and 126 =
  5. 5.HCF of 72 and 128 =
  6. 6.HCF of 207 and 391 =
  7. 7.HCF of 66 and 176 =
  8. 8.HCF of 90 and 40 =
  9. 9.HCF of 306 and 126 =
  10. 10.HCF of 192 and 112 =
  11. 11.HCF of 500 and 475 =
  12. 12.HCF of 238 and 126 =
  13. 13.HCF of 51 and 60 =
  14. 14.HCF of 260 and 140 =
  15. 15.HCF of 115 and 437 =
  16. 16.HCF of 90 and 144 =
  17. 17.HCF of 368 and 161 =
  18. 18.HCF of 182 and 65 =
  19. 19.HCF of 66 and 24 =
  20. 20.HCF of 51 and 238 =
  21. 21.HCF of 36 and 57 =
  22. 22.HCF of 57 and 380 =
  23. 23.HCF of 130 and 91 =
  24. 24.HCF of 161 and 414 =
  25. 25.HCF of 204 and 228 =
  26. 26.HCF of 40 and 60 =
  27. 27.HCF of 22 and 121 =
  28. 28.HCF of 80 and 60 =
  29. 29.HCF of 144 and 304 =
  30. 30.HCF of 78 and 96 =
  31. 31.HCF of 57 and 38 =
  32. 32.HCF of 38 and 40 =
  33. 33.HCF of 81 and 45 =
  34. 34.HCF of 84 and 105 =
  35. 35.HCF of 105 and 90 =
  36. 36.HCF of 198 and 440 =
  37. 37.HCF of 437 and 276 =
  38. 38.HCF of 234 and 360 =
  39. 39.HCF of 44 and 209 =
  40. 40.HCF of 90 and 80 =

Answer key

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

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