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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 184 · 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 45 and 25 =
  2. 2.HCF of 38 and 6 =
  3. 3.HCF of 9 and 39 =
  4. 4.HCF of 414 and 115 =
  5. 5.HCF of 65 and 100 =
  6. 6.HCF of 56 and 182 =
  7. 7.HCF of 16 and 38 =
  8. 8.HCF of 187 and 99 =
  9. 9.HCF of 195 and 105 =
  10. 10.HCF of 182 and 70 =
  11. 11.HCF of 136 and 255 =
  12. 12.HCF of 77 and 88 =
  13. 13.HCF of 320 and 208 =
  14. 14.HCF of 160 and 88 =
  15. 15.HCF of 15 and 57 =
  16. 16.HCF of 52 and 16 =
  17. 17.HCF of 20 and 72 =
  18. 18.HCF of 56 and 182 =
  19. 19.HCF of 95 and 133 =
  20. 20.HCF of 304 and 171 =
  21. 21.HCF of 117 and 63 =
  22. 22.HCF of 114 and 42 =
  23. 23.HCF of 115 and 69 =
  24. 24.HCF of 100 and 325 =
  25. 25.HCF of 84 and 114 =
  26. 26.HCF of 16 and 20 =
  27. 27.HCF of 60 and 216 =
  28. 28.HCF of 240 and 264 =
  29. 29.HCF of 153 and 180 =
  30. 30.HCF of 24 and 20 =
  31. 31.HCF of 140 and 300 =
  32. 32.HCF of 247 and 361 =
  33. 33.HCF of 374 and 132 =
  34. 34.HCF of 72 and 156 =
  35. 35.HCF of 91 and 63 =
  36. 36.HCF of 352 and 198 =
  37. 37.HCF of 210 and 225 =
  38. 38.HCF of 187 and 170 =
  39. 39.HCF of 60 and 400 =
  40. 40.HCF of 42 and 112 =

Answer key

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

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