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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 665 · 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 44 and 48 =
  2. 2.HCF of 120 and 84 =
  3. 3.HCF of 28 and 24 =
  4. 4.HCF of 35 and 112 =
  5. 5.HCF of 84 and 119 =
  6. 6.HCF of 26 and 6 =
  7. 7.HCF of 64 and 208 =
  8. 8.HCF of 72 and 312 =
  9. 9.HCF of 117 and 153 =
  10. 10.HCF of 117 and 18 =
  11. 11.HCF of 105 and 98 =
  12. 12.HCF of 56 and 70 =
  13. 13.HCF of 32 and 18 =
  14. 14.HCF of 75 and 195 =
  15. 15.HCF of 22 and 26 =
  16. 16.HCF of 234 and 180 =
  17. 17.HCF of 72 and 30 =
  18. 18.HCF of 125 and 100 =
  19. 19.HCF of 272 and 85 =
  20. 20.HCF of 30 and 26 =
  21. 21.HCF of 221 and 117 =
  22. 22.HCF of 360 and 140 =
  23. 23.HCF of 132 and 55 =
  24. 24.HCF of 10 and 24 =
  25. 25.HCF of 299 and 46 =
  26. 26.HCF of 153 and 187 =
  27. 27.HCF of 24 and 102 =
  28. 28.HCF of 105 and 63 =
  29. 29.HCF of 91 and 21 =
  30. 30.HCF of 51 and 272 =
  31. 31.HCF of 96 and 42 =
  32. 32.HCF of 96 and 456 =
  33. 33.HCF of 108 and 42 =
  34. 34.HCF of 70 and 168 =
  35. 35.HCF of 45 and 57 =
  36. 36.HCF of 234 and 90 =
  37. 37.HCF of 136 and 221 =
  38. 38.HCF of 208 and 304 =
  39. 39.HCF of 91 and 39 =
  40. 40.HCF of 108 and 234 =

Answer key

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

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