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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 302 · 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 408 and 384 =
  2. 2.HCF of 22 and 77 =
  3. 3.HCF of 240 and 208 =
  4. 4.HCF of 165 and 240 =
  5. 5.HCF of 475 and 500 =
  6. 6.HCF of 133 and 38 =
  7. 7.HCF of 88 and 56 =
  8. 8.HCF of 119 and 28 =
  9. 9.HCF of 24 and 57 =
  10. 10.HCF of 286 and 132 =
  11. 11.HCF of 264 and 288 =
  12. 12.HCF of 72 and 192 =
  13. 13.HCF of 132 and 84 =
  14. 14.HCF of 300 and 285 =
  15. 15.HCF of 24 and 22 =
  16. 16.HCF of 242 and 418 =
  17. 17.HCF of 12 and 30 =
  18. 18.HCF of 180 and 380 =
  19. 19.HCF of 65 and 75 =
  20. 20.HCF of 36 and 204 =
  21. 21.HCF of 266 and 171 =
  22. 22.HCF of 44 and 242 =
  23. 23.HCF of 150 and 175 =
  24. 24.HCF of 143 and 260 =
  25. 25.HCF of 18 and 102 =
  26. 26.HCF of 133 and 91 =
  27. 27.HCF of 144 and 153 =
  28. 28.HCF of 64 and 12 =
  29. 29.HCF of 72 and 136 =
  30. 30.HCF of 105 and 252 =
  31. 31.HCF of 60 and 24 =
  32. 32.HCF of 117 and 162 =
  33. 33.HCF of 408 and 456 =
  34. 34.HCF of 340 and 300 =
  35. 35.HCF of 21 and 12 =
  36. 36.HCF of 153 and 68 =
  37. 37.HCF of 234 and 252 =
  38. 38.HCF of 189 and 168 =
  39. 39.HCF of 36 and 14 =
  40. 40.HCF of 21 and 18 =

Answer key

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

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