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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 735 · 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 117 and 208 =
  2. 2.HCF of 70 and 80 =
  3. 3.HCF of 60 and 144 =
  4. 4.HCF of 252 and 266 =
  5. 5.HCF of 195 and 52 =
  6. 6.HCF of 450 and 175 =
  7. 7.HCF of 12 and 8 =
  8. 8.HCF of 144 and 204 =
  9. 9.HCF of 204 and 84 =
  10. 10.HCF of 408 and 216 =
  11. 11.HCF of 220 and 66 =
  12. 12.HCF of 192 and 408 =
  13. 13.HCF of 289 and 102 =
  14. 14.HCF of 10 and 75 =
  15. 15.HCF of 95 and 152 =
  16. 16.HCF of 76 and 48 =
  17. 17.HCF of 26 and 38 =
  18. 18.HCF of 85 and 119 =
  19. 19.HCF of 15 and 21 =
  20. 20.HCF of 77 and 126 =
  21. 21.HCF of 32 and 144 =
  22. 22.HCF of 44 and 209 =
  23. 23.HCF of 275 and 325 =
  24. 24.HCF of 21 and 48 =
  25. 25.HCF of 272 and 224 =
  26. 26.HCF of 175 and 75 =
  27. 27.HCF of 135 and 285 =
  28. 28.HCF of 56 and 105 =
  29. 29.HCF of 126 and 171 =
  30. 30.HCF of 77 and 220 =
  31. 31.HCF of 252 and 399 =
  32. 32.HCF of 190 and 100 =
  33. 33.HCF of 68 and 60 =
  34. 34.HCF of 48 and 66 =
  35. 35.HCF of 20 and 90 =
  36. 36.HCF of 300 and 285 =
  37. 37.HCF of 14 and 6 =
  38. 38.HCF of 154 and 56 =
  39. 39.HCF of 500 and 475 =
  40. 40.HCF of 396 and 110 =

Answer key

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

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