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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 566 · 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 66 and 143 =
  2. 2.HCF of 133 and 77 =
  3. 3.HCF of 195 and 255 =
  4. 4.HCF of 48 and 102 =
  5. 5.HCF of 33 and 36 =
  6. 6.HCF of 95 and 10 =
  7. 7.HCF of 208 and 256 =
  8. 8.HCF of 68 and 153 =
  9. 9.HCF of 60 and 48 =
  10. 10.HCF of 18 and 39 =
  11. 11.HCF of 140 and 380 =
  12. 12.HCF of 76 and 361 =
  13. 13.HCF of 126 and 99 =
  14. 14.HCF of 34 and 10 =
  15. 15.HCF of 20 and 12 =
  16. 16.HCF of 34 and 36 =
  17. 17.HCF of 54 and 126 =
  18. 18.HCF of 18 and 57 =
  19. 19.HCF of 16 and 22 =
  20. 20.HCF of 99 and 220 =
  21. 21.HCF of 216 and 84 =
  22. 22.HCF of 45 and 70 =
  23. 23.HCF of 78 and 24 =
  24. 24.HCF of 130 and 143 =
  25. 25.HCF of 231 and 105 =
  26. 26.HCF of 60 and 25 =
  27. 27.HCF of 380 and 180 =
  28. 28.HCF of 66 and 308 =
  29. 29.HCF of 198 and 216 =
  30. 30.HCF of 121 and 22 =
  31. 31.HCF of 209 and 285 =
  32. 32.HCF of 12 and 51 =
  33. 33.HCF of 208 and 48 =
  34. 34.HCF of 42 and 63 =
  35. 35.HCF of 40 and 56 =
  36. 36.HCF of 38 and 28 =
  37. 37.HCF of 456 and 144 =
  38. 38.HCF of 20 and 75 =
  39. 39.HCF of 110 and 70 =
  40. 40.HCF of 100 and 275 =

Answer key

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

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