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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 467 · 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 266 and 323 =
  2. 2.HCF of 95 and 76 =
  3. 3.HCF of 475 and 350 =
  4. 4.HCF of 105 and 56 =
  5. 5.HCF of 156 and 108 =
  6. 6.HCF of 95 and 133 =
  7. 7.HCF of 144 and 264 =
  8. 8.HCF of 88 and 99 =
  9. 9.HCF of 27 and 6 =
  10. 10.HCF of 238 and 84 =
  11. 11.HCF of 39 and 260 =
  12. 12.HCF of 104 and 48 =
  13. 13.HCF of 112 and 266 =
  14. 14.HCF of 100 and 275 =
  15. 15.HCF of 24 and 45 =
  16. 16.HCF of 91 and 105 =
  17. 17.HCF of 85 and 204 =
  18. 18.HCF of 176 and 96 =
  19. 19.HCF of 170 and 110 =
  20. 20.HCF of 132 and 242 =
  21. 21.HCF of 117 and 26 =
  22. 22.HCF of 80 and 180 =
  23. 23.HCF of 18 and 40 =
  24. 24.HCF of 28 and 119 =
  25. 25.HCF of 440 and 198 =
  26. 26.HCF of 216 and 408 =
  27. 27.HCF of 30 and 70 =
  28. 28.HCF of 170 and 187 =
  29. 29.HCF of 238 and 252 =
  30. 30.HCF of 63 and 81 =
  31. 31.HCF of 273 and 378 =
  32. 32.HCF of 46 and 345 =
  33. 33.HCF of 16 and 44 =
  34. 34.HCF of 57 and 21 =
  35. 35.HCF of 85 and 60 =
  36. 36.HCF of 102 and 42 =
  37. 37.HCF of 208 and 195 =
  38. 38.HCF of 45 and 95 =
  39. 39.HCF of 12 and 52 =
  40. 40.HCF of 80 and 112 =

Answer key

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

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