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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 729 · 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 108 and 24 =
  2. 2.HCF of 96 and 56 =
  3. 3.HCF of 20 and 85 =
  4. 4.HCF of 81 and 18 =
  5. 5.HCF of 120 and 56 =
  6. 6.HCF of 50 and 190 =
  7. 7.HCF of 115 and 368 =
  8. 8.HCF of 36 and 8 =
  9. 9.HCF of 42 and 70 =
  10. 10.HCF of 198 and 352 =
  11. 11.HCF of 48 and 224 =
  12. 12.HCF of 66 and 242 =
  13. 13.HCF of 195 and 30 =
  14. 14.HCF of 27 and 63 =
  15. 15.HCF of 195 and 135 =
  16. 16.HCF of 198 and 72 =
  17. 17.HCF of 234 and 342 =
  18. 18.HCF of 66 and 77 =
  19. 19.HCF of 76 and 209 =
  20. 20.HCF of 132 and 216 =
  21. 21.HCF of 80 and 28 =
  22. 22.HCF of 90 and 153 =
  23. 23.HCF of 345 and 46 =
  24. 24.HCF of 289 and 68 =
  25. 25.HCF of 20 and 8 =
  26. 26.HCF of 75 and 105 =
  27. 27.HCF of 275 and 500 =
  28. 28.HCF of 65 and 75 =
  29. 29.HCF of 51 and 36 =
  30. 30.HCF of 264 and 154 =
  31. 31.HCF of 104 and 24 =
  32. 32.HCF of 100 and 320 =
  33. 33.HCF of 170 and 100 =
  34. 34.HCF of 30 and 12 =
  35. 35.HCF of 70 and 119 =
  36. 36.HCF of 90 and 70 =
  37. 37.HCF of 75 and 50 =
  38. 38.HCF of 168 and 120 =
  39. 39.HCF of 20 and 130 =
  40. 40.HCF of 114 and 95 =

Answer key

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

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