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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 807 · 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 260 and 120 =
  2. 2.HCF of 325 and 100 =
  3. 3.HCF of 133 and 35 =
  4. 4.HCF of 112 and 304 =
  5. 5.HCF of 30 and 95 =
  6. 6.HCF of 143 and 132 =
  7. 7.HCF of 112 and 63 =
  8. 8.HCF of 76 and 52 =
  9. 9.HCF of 78 and 24 =
  10. 10.HCF of 330 and 352 =
  11. 11.HCF of 24 and 78 =
  12. 12.HCF of 84 and 102 =
  13. 13.HCF of 84 and 120 =
  14. 14.HCF of 112 and 128 =
  15. 15.HCF of 144 and 256 =
  16. 16.HCF of 30 and 55 =
  17. 17.HCF of 8 and 36 =
  18. 18.HCF of 56 and 49 =
  19. 19.HCF of 136 and 16 =
  20. 20.HCF of 77 and 133 =
  21. 21.HCF of 198 and 270 =
  22. 22.HCF of 92 and 253 =
  23. 23.HCF of 204 and 119 =
  24. 24.HCF of 216 and 48 =
  25. 25.HCF of 121 and 176 =
  26. 26.HCF of 36 and 30 =
  27. 27.HCF of 85 and 68 =
  28. 28.HCF of 322 and 437 =
  29. 29.HCF of 306 and 187 =
  30. 30.HCF of 240 and 100 =
  31. 31.HCF of 30 and 45 =
  32. 32.HCF of 176 and 32 =
  33. 33.HCF of 60 and 76 =
  34. 34.HCF of 135 and 285 =
  35. 35.HCF of 288 and 112 =
  36. 36.HCF of 65 and 208 =
  37. 37.HCF of 45 and 55 =
  38. 38.HCF of 104 and 152 =
  39. 39.HCF of 20 and 48 =
  40. 40.HCF of 437 and 69 =

Answer key

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

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