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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 139 · 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 330 and 286 =
  2. 2.HCF of 352 and 418 =
  3. 3.HCF of 33 and 220 =
  4. 4.HCF of 95 and 45 =
  5. 5.HCF of 120 and 110 =
  6. 6.HCF of 40 and 88 =
  7. 7.HCF of 180 and 75 =
  8. 8.HCF of 32 and 24 =
  9. 9.HCF of 20 and 16 =
  10. 10.HCF of 135 and 240 =
  11. 11.HCF of 95 and 266 =
  12. 12.HCF of 18 and 32 =
  13. 13.HCF of 91 and 26 =
  14. 14.HCF of 48 and 64 =
  15. 15.HCF of 84 and 60 =
  16. 16.HCF of 119 and 28 =
  17. 17.HCF of 144 and 408 =
  18. 18.HCF of 121 and 220 =
  19. 19.HCF of 52 and 143 =
  20. 20.HCF of 40 and 38 =
  21. 21.HCF of 198 and 54 =
  22. 22.HCF of 35 and 49 =
  23. 23.HCF of 26 and 65 =
  24. 24.HCF of 342 and 144 =
  25. 25.HCF of 105 and 63 =
  26. 26.HCF of 72 and 27 =
  27. 27.HCF of 119 and 35 =
  28. 28.HCF of 378 and 273 =
  29. 29.HCF of 299 and 414 =
  30. 30.HCF of 84 and 70 =
  31. 31.HCF of 198 and 270 =
  32. 32.HCF of 315 and 42 =
  33. 33.HCF of 190 and 323 =
  34. 34.HCF of 272 and 48 =
  35. 35.HCF of 88 and 55 =
  36. 36.HCF of 24 and 10 =
  37. 37.HCF of 270 and 165 =
  38. 38.HCF of 228 and 192 =
  39. 39.HCF of 140 and 240 =
  40. 40.HCF of 126 and 119 =

Answer key

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

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