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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 851 · 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 42 and 30 =
  2. 2.HCF of 342 and 198 =
  3. 3.HCF of 26 and 20 =
  4. 4.HCF of 70 and 84 =
  5. 5.HCF of 72 and 136 =
  6. 6.HCF of 80 and 85 =
  7. 7.HCF of 16 and 152 =
  8. 8.HCF of 154 and 280 =
  9. 9.HCF of 15 and 9 =
  10. 10.HCF of 76 and 8 =
  11. 11.HCF of 135 and 117 =
  12. 12.HCF of 78 and 84 =
  13. 13.HCF of 26 and 195 =
  14. 14.HCF of 52 and 76 =
  15. 15.HCF of 156 and 120 =
  16. 16.HCF of 36 and 34 =
  17. 17.HCF of 77 and 44 =
  18. 18.HCF of 253 and 46 =
  19. 19.HCF of 112 and 32 =
  20. 20.HCF of 105 and 273 =
  21. 21.HCF of 96 and 66 =
  22. 22.HCF of 91 and 35 =
  23. 23.HCF of 45 and 27 =
  24. 24.HCF of 72 and 60 =
  25. 25.HCF of 150 and 70 =
  26. 26.HCF of 18 and 38 =
  27. 27.HCF of 323 and 34 =
  28. 28.HCF of 96 and 42 =
  29. 29.HCF of 16 and 36 =
  30. 30.HCF of 48 and 9 =
  31. 31.HCF of 242 and 220 =
  32. 32.HCF of 35 and 60 =
  33. 33.HCF of 70 and 98 =
  34. 34.HCF of 34 and 221 =
  35. 35.HCF of 207 and 161 =
  36. 36.HCF of 80 and 272 =
  37. 37.HCF of 100 and 70 =
  38. 38.HCF of 240 and 312 =
  39. 39.HCF of 39 and 9 =
  40. 40.HCF of 48 and 360 =

Answer key

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

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