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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 13 · 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 12 =
  2. 2.HCF of 39 and 42 =
  3. 3.HCF of 88 and 154 =
  4. 4.HCF of 450 and 275 =
  5. 5.HCF of 72 and 120 =
  6. 6.HCF of 39 and 130 =
  7. 7.HCF of 25 and 65 =
  8. 8.HCF of 99 and 121 =
  9. 9.HCF of 175 and 150 =
  10. 10.HCF of 266 and 210 =
  11. 11.HCF of 45 and 21 =
  12. 12.HCF of 320 and 144 =
  13. 13.HCF of 60 and 85 =
  14. 14.HCF of 36 and 81 =
  15. 15.HCF of 255 and 60 =
  16. 16.HCF of 28 and 16 =
  17. 17.HCF of 75 and 125 =
  18. 18.HCF of 64 and 56 =
  19. 19.HCF of 48 and 52 =
  20. 20.HCF of 6 and 40 =
  21. 21.HCF of 54 and 288 =
  22. 22.HCF of 210 and 196 =
  23. 23.HCF of 323 and 136 =
  24. 24.HCF of 140 and 190 =
  25. 25.HCF of 32 and 120 =
  26. 26.HCF of 56 and 133 =
  27. 27.HCF of 54 and 114 =
  28. 28.HCF of 285 and 165 =
  29. 29.HCF of 175 and 225 =
  30. 30.HCF of 272 and 192 =
  31. 31.HCF of 110 and 190 =
  32. 32.HCF of 400 and 75 =
  33. 33.HCF of 51 and 60 =
  34. 34.HCF of 24 and 32 =
  35. 35.HCF of 75 and 105 =
  36. 36.HCF of 121 and 66 =
  37. 37.HCF of 57 and 76 =
  38. 38.HCF of 154 and 220 =
  39. 39.HCF of 40 and 52 =
  40. 40.HCF of 234 and 54 =

Answer key

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

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