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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 982 · 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 112 and 24 =
  2. 2.HCF of 152 and 209 =
  3. 3.HCF of 115 and 207 =
  4. 4.HCF of 165 and 22 =
  5. 5.HCF of 418 and 88 =
  6. 6.HCF of 323 and 119 =
  7. 7.HCF of 26 and 4 =
  8. 8.HCF of 63 and 35 =
  9. 9.HCF of 51 and 48 =
  10. 10.HCF of 32 and 38 =
  11. 11.HCF of 24 and 10 =
  12. 12.HCF of 4 and 6 =
  13. 13.HCF of 27 and 72 =
  14. 14.HCF of 165 and 187 =
  15. 15.HCF of 55 and 15 =
  16. 16.HCF of 135 and 36 =
  17. 17.HCF of 238 and 323 =
  18. 18.HCF of 75 and 175 =
  19. 19.HCF of 98 and 105 =
  20. 20.HCF of 195 and 105 =
  21. 21.HCF of 120 and 140 =
  22. 22.HCF of 289 and 68 =
  23. 23.HCF of 306 and 119 =
  24. 24.HCF of 18 and 135 =
  25. 25.HCF of 187 and 121 =
  26. 26.HCF of 42 and 66 =
  27. 27.HCF of 72 and 16 =
  28. 28.HCF of 36 and 76 =
  29. 29.HCF of 168 and 288 =
  30. 30.HCF of 95 and 209 =
  31. 31.HCF of 114 and 108 =
  32. 32.HCF of 255 and 165 =
  33. 33.HCF of 108 and 168 =
  34. 34.HCF of 39 and 221 =
  35. 35.HCF of 6 and 10 =
  36. 36.HCF of 216 and 132 =
  37. 37.HCF of 88 and 112 =
  38. 38.HCF of 66 and 60 =
  39. 39.HCF of 52 and 24 =
  40. 40.HCF of 44 and 8 =

Answer key

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

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