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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 536 · 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 55 and 20 =
  2. 2.HCF of 105 and 135 =
  3. 3.HCF of 44 and 66 =
  4. 4.HCF of 28 and 133 =
  5. 5.HCF of 48 and 52 =
  6. 6.HCF of 60 and 114 =
  7. 7.HCF of 39 and 18 =
  8. 8.HCF of 240 and 112 =
  9. 9.HCF of 63 and 144 =
  10. 10.HCF of 144 and 136 =
  11. 11.HCF of 144 and 80 =
  12. 12.HCF of 187 and 209 =
  13. 13.HCF of 160 and 140 =
  14. 14.HCF of 231 and 168 =
  15. 15.HCF of 65 and 75 =
  16. 16.HCF of 208 and 112 =
  17. 17.HCF of 114 and 36 =
  18. 18.HCF of 253 and 368 =
  19. 19.HCF of 44 and 99 =
  20. 20.HCF of 198 and 180 =
  21. 21.HCF of 70 and 49 =
  22. 22.HCF of 114 and 120 =
  23. 23.HCF of 119 and 51 =
  24. 24.HCF of 39 and 24 =
  25. 25.HCF of 273 and 42 =
  26. 26.HCF of 12 and 45 =
  27. 27.HCF of 44 and 374 =
  28. 28.HCF of 425 and 400 =
  29. 29.HCF of 207 and 92 =
  30. 30.HCF of 96 and 132 =
  31. 31.HCF of 391 and 92 =
  32. 32.HCF of 88 and 198 =
  33. 33.HCF of 95 and 50 =
  34. 34.HCF of 18 and 4 =
  35. 35.HCF of 60 and 220 =
  36. 36.HCF of 65 and 35 =
  37. 37.HCF of 156 and 120 =
  38. 38.HCF of 255 and 272 =
  39. 39.HCF of 68 and 119 =
  40. 40.HCF of 273 and 105 =

Answer key

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

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