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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 193 · 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 76 and 323 =
  2. 2.HCF of 460 and 69 =
  3. 3.HCF of 76 and 171 =
  4. 4.HCF of 273 and 231 =
  5. 5.HCF of 84 and 147 =
  6. 6.HCF of 154 and 55 =
  7. 7.HCF of 136 and 48 =
  8. 8.HCF of 14 and 63 =
  9. 9.HCF of 72 and 44 =
  10. 10.HCF of 112 and 49 =
  11. 11.HCF of 156 and 60 =
  12. 12.HCF of 132 and 77 =
  13. 13.HCF of 325 and 125 =
  14. 14.HCF of 27 and 45 =
  15. 15.HCF of 195 and 90 =
  16. 16.HCF of 63 and 119 =
  17. 17.HCF of 40 and 380 =
  18. 18.HCF of 90 and 153 =
  19. 19.HCF of 24 and 56 =
  20. 20.HCF of 240 and 260 =
  21. 21.HCF of 136 and 32 =
  22. 22.HCF of 126 and 147 =
  23. 23.HCF of 108 and 306 =
  24. 24.HCF of 456 and 312 =
  25. 25.HCF of 66 and 36 =
  26. 26.HCF of 57 and 36 =
  27. 27.HCF of 171 and 45 =
  28. 28.HCF of 24 and 9 =
  29. 29.HCF of 285 and 38 =
  30. 30.HCF of 38 and 18 =
  31. 31.HCF of 55 and 30 =
  32. 32.HCF of 187 and 198 =
  33. 33.HCF of 25 and 80 =
  34. 34.HCF of 210 and 28 =
  35. 35.HCF of 18 and 78 =
  36. 36.HCF of 76 and 56 =
  37. 37.HCF of 289 and 51 =
  38. 38.HCF of 60 and 70 =
  39. 39.HCF of 340 and 220 =
  40. 40.HCF of 9 and 48 =

Answer key

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

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