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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 943 · 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 24 and 52 =
  2. 2.HCF of 102 and 18 =
  3. 3.HCF of 54 and 33 =
  4. 4.HCF of 30 and 24 =
  5. 5.HCF of 45 and 27 =
  6. 6.HCF of 153 and 45 =
  7. 7.HCF of 39 and 91 =
  8. 8.HCF of 26 and 247 =
  9. 9.HCF of 432 and 120 =
  10. 10.HCF of 33 and 121 =
  11. 11.HCF of 39 and 27 =
  12. 12.HCF of 165 and 45 =
  13. 13.HCF of 361 and 380 =
  14. 14.HCF of 247 and 143 =
  15. 15.HCF of 54 and 12 =
  16. 16.HCF of 12 and 9 =
  17. 17.HCF of 33 and 220 =
  18. 18.HCF of 39 and 91 =
  19. 19.HCF of 54 and 342 =
  20. 20.HCF of 30 and 190 =
  21. 21.HCF of 160 and 152 =
  22. 22.HCF of 180 and 190 =
  23. 23.HCF of 312 and 48 =
  24. 24.HCF of 247 and 156 =
  25. 25.HCF of 68 and 8 =
  26. 26.HCF of 242 and 418 =
  27. 27.HCF of 108 and 126 =
  28. 28.HCF of 80 and 35 =
  29. 29.HCF of 96 and 18 =
  30. 30.HCF of 24 and 66 =
  31. 31.HCF of 54 and 63 =
  32. 32.HCF of 126 and 147 =
  33. 33.HCF of 26 and 169 =
  34. 34.HCF of 32 and 304 =
  35. 35.HCF of 76 and 12 =
  36. 36.HCF of 220 and 200 =
  37. 37.HCF of 153 and 135 =
  38. 38.HCF of 60 and 228 =
  39. 39.HCF of 39 and 54 =
  40. 40.HCF of 112 and 70 =

Answer key

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

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