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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 362 · 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 88 and 120 =
  2. 2.HCF of 60 and 195 =
  3. 3.HCF of 187 and 153 =
  4. 4.HCF of 18 and 42 =
  5. 5.HCF of 96 and 176 =
  6. 6.HCF of 180 and 126 =
  7. 7.HCF of 20 and 34 =
  8. 8.HCF of 306 and 36 =
  9. 9.HCF of 105 and 42 =
  10. 10.HCF of 132 and 77 =
  11. 11.HCF of 408 and 432 =
  12. 12.HCF of 50 and 60 =
  13. 13.HCF of 176 and 96 =
  14. 14.HCF of 27 and 30 =
  15. 15.HCF of 400 and 175 =
  16. 16.HCF of 22 and 143 =
  17. 17.HCF of 120 and 288 =
  18. 18.HCF of 28 and 119 =
  19. 19.HCF of 49 and 56 =
  20. 20.HCF of 36 and 22 =
  21. 21.HCF of 378 and 357 =
  22. 22.HCF of 270 and 285 =
  23. 23.HCF of 100 and 35 =
  24. 24.HCF of 304 and 323 =
  25. 25.HCF of 140 and 21 =
  26. 26.HCF of 105 and 120 =
  27. 27.HCF of 72 and 20 =
  28. 28.HCF of 36 and 135 =
  29. 29.HCF of 54 and 117 =
  30. 30.HCF of 72 and 68 =
  31. 31.HCF of 32 and 28 =
  32. 32.HCF of 144 and 272 =
  33. 33.HCF of 220 and 77 =
  34. 34.HCF of 187 and 33 =
  35. 35.HCF of 143 and 66 =
  36. 36.HCF of 15 and 35 =
  37. 37.HCF of 39 and 57 =
  38. 38.HCF of 176 and 304 =
  39. 39.HCF of 38 and 16 =
  40. 40.HCF of 289 and 51 =

Answer key

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

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