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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 534 · 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 35 and 60 =
  2. 2.HCF of 75 and 45 =
  3. 3.HCF of 136 and 24 =
  4. 4.HCF of 126 and 28 =
  5. 5.HCF of 77 and 198 =
  6. 6.HCF of 187 and 204 =
  7. 7.HCF of 90 and 36 =
  8. 8.HCF of 95 and 40 =
  9. 9.HCF of 99 and 117 =
  10. 10.HCF of 68 and 36 =
  11. 11.HCF of 48 and 28 =
  12. 12.HCF of 154 and 98 =
  13. 13.HCF of 160 and 30 =
  14. 14.HCF of 80 and 288 =
  15. 15.HCF of 221 and 169 =
  16. 16.HCF of 95 and 323 =
  17. 17.HCF of 275 and 325 =
  18. 18.HCF of 60 and 72 =
  19. 19.HCF of 136 and 153 =
  20. 20.HCF of 99 and 162 =
  21. 21.HCF of 90 and 288 =
  22. 22.HCF of 255 and 150 =
  23. 23.HCF of 105 and 135 =
  24. 24.HCF of 12 and 51 =
  25. 25.HCF of 133 and 63 =
  26. 26.HCF of 380 and 323 =
  27. 27.HCF of 98 and 266 =
  28. 28.HCF of 18 and 81 =
  29. 29.HCF of 144 and 304 =
  30. 30.HCF of 209 and 66 =
  31. 31.HCF of 76 and 133 =
  32. 32.HCF of 96 and 120 =
  33. 33.HCF of 221 and 272 =
  34. 34.HCF of 80 and 304 =
  35. 35.HCF of 180 and 162 =
  36. 36.HCF of 25 and 45 =
  37. 37.HCF of 54 and 51 =
  38. 38.HCF of 260 and 120 =
  39. 39.HCF of 289 and 119 =
  40. 40.HCF of 102 and 60 =

Answer key

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

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