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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 138 · 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 105 and 150 =
  2. 2.HCF of 27 and 21 =
  3. 3.HCF of 225 and 240 =
  4. 4.HCF of 264 and 144 =
  5. 5.HCF of 36 and 63 =
  6. 6.HCF of 85 and 90 =
  7. 7.HCF of 48 and 72 =
  8. 8.HCF of 66 and 121 =
  9. 9.HCF of 306 and 198 =
  10. 10.HCF of 96 and 264 =
  11. 11.HCF of 80 and 48 =
  12. 12.HCF of 192 and 132 =
  13. 13.HCF of 72 and 198 =
  14. 14.HCF of 247 and 38 =
  15. 15.HCF of 14 and 49 =
  16. 16.HCF of 350 and 125 =
  17. 17.HCF of 105 and 14 =
  18. 18.HCF of 12 and 56 =
  19. 19.HCF of 323 and 289 =
  20. 20.HCF of 54 and 99 =
  21. 21.HCF of 135 and 144 =
  22. 22.HCF of 120 and 32 =
  23. 23.HCF of 264 and 240 =
  24. 24.HCF of 144 and 112 =
  25. 25.HCF of 138 and 253 =
  26. 26.HCF of 45 and 120 =
  27. 27.HCF of 190 and 171 =
  28. 28.HCF of 198 and 55 =
  29. 29.HCF of 170 and 289 =
  30. 30.HCF of 88 and 121 =
  31. 31.HCF of 72 and 336 =
  32. 32.HCF of 289 and 85 =
  33. 33.HCF of 192 and 208 =
  34. 34.HCF of 42 and 66 =
  35. 35.HCF of 280 and 180 =
  36. 36.HCF of 60 and 204 =
  37. 37.HCF of 289 and 238 =
  38. 38.HCF of 230 and 253 =
  39. 39.HCF of 175 and 475 =
  40. 40.HCF of 4 and 6 =

Answer key

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

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