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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 898 · 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 42 and 154 =
  2. 2.HCF of 256 and 112 =
  3. 3.HCF of 256 and 208 =
  4. 4.HCF of 216 and 204 =
  5. 5.HCF of 16 and 88 =
  6. 6.HCF of 51 and 18 =
  7. 7.HCF of 60 and 228 =
  8. 8.HCF of 27 and 36 =
  9. 9.HCF of 27 and 33 =
  10. 10.HCF of 160 and 104 =
  11. 11.HCF of 6 and 33 =
  12. 12.HCF of 18 and 135 =
  13. 13.HCF of 112 and 40 =
  14. 14.HCF of 39 and 169 =
  15. 15.HCF of 38 and 361 =
  16. 16.HCF of 216 and 306 =
  17. 17.HCF of 204 and 289 =
  18. 18.HCF of 391 and 46 =
  19. 19.HCF of 323 and 95 =
  20. 20.HCF of 35 and 60 =
  21. 21.HCF of 24 and 88 =
  22. 22.HCF of 96 and 136 =
  23. 23.HCF of 294 and 189 =
  24. 24.HCF of 42 and 54 =
  25. 25.HCF of 30 and 105 =
  26. 26.HCF of 25 and 80 =
  27. 27.HCF of 207 and 115 =
  28. 28.HCF of 156 and 144 =
  29. 29.HCF of 72 and 168 =
  30. 30.HCF of 80 and 52 =
  31. 31.HCF of 16 and 24 =
  32. 32.HCF of 91 and 221 =
  33. 33.HCF of 66 and 143 =
  34. 34.HCF of 192 and 132 =
  35. 35.HCF of 168 and 189 =
  36. 36.HCF of 6 and 15 =
  37. 37.HCF of 30 and 140 =
  38. 38.HCF of 132 and 286 =
  39. 39.HCF of 322 and 391 =
  40. 40.HCF of 432 and 168 =

Answer key

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

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