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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 542 · 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 95 and 55 =
  2. 2.HCF of 165 and 45 =
  3. 3.HCF of 10 and 34 =
  4. 4.HCF of 63 and 49 =
  5. 5.HCF of 64 and 272 =
  6. 6.HCF of 50 and 35 =
  7. 7.HCF of 272 and 144 =
  8. 8.HCF of 6 and 45 =
  9. 9.HCF of 24 and 34 =
  10. 10.HCF of 45 and 21 =
  11. 11.HCF of 350 and 225 =
  12. 12.HCF of 322 and 253 =
  13. 13.HCF of 10 and 85 =
  14. 14.HCF of 63 and 105 =
  15. 15.HCF of 14 and 91 =
  16. 16.HCF of 72 and 81 =
  17. 17.HCF of 32 and 14 =
  18. 18.HCF of 119 and 153 =
  19. 19.HCF of 323 and 170 =
  20. 20.HCF of 162 and 117 =
  21. 21.HCF of 12 and 15 =
  22. 22.HCF of 286 and 154 =
  23. 23.HCF of 54 and 60 =
  24. 24.HCF of 66 and 242 =
  25. 25.HCF of 144 and 54 =
  26. 26.HCF of 64 and 304 =
  27. 27.HCF of 230 and 207 =
  28. 28.HCF of 68 and 255 =
  29. 29.HCF of 266 and 70 =
  30. 30.HCF of 24 and 90 =
  31. 31.HCF of 18 and 34 =
  32. 32.HCF of 136 and 88 =
  33. 33.HCF of 85 and 10 =
  34. 34.HCF of 48 and 84 =
  35. 35.HCF of 27 and 126 =
  36. 36.HCF of 374 and 110 =
  37. 37.HCF of 21 and 30 =
  38. 38.HCF of 182 and 195 =
  39. 39.HCF of 30 and 28 =
  40. 40.HCF of 380 and 60 =

Answer key

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

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