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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 72 · 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 75 =
  2. 2.HCF of 98 and 119 =
  3. 3.HCF of 114 and 12 =
  4. 4.HCF of 105 and 240 =
  5. 5.HCF of 45 and 60 =
  6. 6.HCF of 247 and 52 =
  7. 7.HCF of 136 and 88 =
  8. 8.HCF of 176 and 96 =
  9. 9.HCF of 260 and 80 =
  10. 10.HCF of 18 and 30 =
  11. 11.HCF of 119 and 112 =
  12. 12.HCF of 51 and 323 =
  13. 13.HCF of 289 and 68 =
  14. 14.HCF of 28 and 98 =
  15. 15.HCF of 95 and 25 =
  16. 16.HCF of 130 and 190 =
  17. 17.HCF of 35 and 42 =
  18. 18.HCF of 187 and 220 =
  19. 19.HCF of 133 and 247 =
  20. 20.HCF of 20 and 25 =
  21. 21.HCF of 45 and 285 =
  22. 22.HCF of 154 and 28 =
  23. 23.HCF of 40 and 34 =
  24. 24.HCF of 247 and 130 =
  25. 25.HCF of 152 and 128 =
  26. 26.HCF of 30 and 165 =
  27. 27.HCF of 49 and 63 =
  28. 28.HCF of 135 and 60 =
  29. 29.HCF of 289 and 306 =
  30. 30.HCF of 285 and 152 =
  31. 31.HCF of 28 and 20 =
  32. 32.HCF of 85 and 70 =
  33. 33.HCF of 42 and 114 =
  34. 34.HCF of 136 and 120 =
  35. 35.HCF of 242 and 286 =
  36. 36.HCF of 100 and 90 =
  37. 37.HCF of 184 and 207 =
  38. 38.HCF of 54 and 36 =
  39. 39.HCF of 99 and 55 =
  40. 40.HCF of 192 and 176 =

Answer key

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

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