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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 65 · 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 28 and 154 =
  2. 2.HCF of 36 and 24 =
  3. 3.HCF of 70 and 150 =
  4. 4.HCF of 26 and 143 =
  5. 5.HCF of 76 and 20 =
  6. 6.HCF of 288 and 234 =
  7. 7.HCF of 9 and 24 =
  8. 8.HCF of 225 and 30 =
  9. 9.HCF of 36 and 34 =
  10. 10.HCF of 342 and 324 =
  11. 11.HCF of 168 and 36 =
  12. 12.HCF of 240 and 36 =
  13. 13.HCF of 30 and 255 =
  14. 14.HCF of 27 and 24 =
  15. 15.HCF of 96 and 114 =
  16. 16.HCF of 120 and 170 =
  17. 17.HCF of 65 and 20 =
  18. 18.HCF of 342 and 72 =
  19. 19.HCF of 336 and 408 =
  20. 20.HCF of 64 and 240 =
  21. 21.HCF of 21 and 27 =
  22. 22.HCF of 418 and 264 =
  23. 23.HCF of 27 and 48 =
  24. 24.HCF of 36 and 76 =
  25. 25.HCF of 192 and 360 =
  26. 26.HCF of 289 and 51 =
  27. 27.HCF of 152 and 128 =
  28. 28.HCF of 192 and 360 =
  29. 29.HCF of 140 and 266 =
  30. 30.HCF of 161 and 69 =
  31. 31.HCF of 30 and 25 =
  32. 32.HCF of 21 and 12 =
  33. 33.HCF of 408 and 216 =
  34. 34.HCF of 102 and 54 =
  35. 35.HCF of 361 and 304 =
  36. 36.HCF of 187 and 68 =
  37. 37.HCF of 285 and 30 =
  38. 38.HCF of 15 and 42 =
  39. 39.HCF of 242 and 154 =
  40. 40.HCF of 144 and 256 =

Answer key

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

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