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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 230 · 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 64 and 136 =
  2. 2.HCF of 272 and 323 =
  3. 3.HCF of 30 and 42 =
  4. 4.HCF of 15 and 42 =
  5. 5.HCF of 140 and 260 =
  6. 6.HCF of 231 and 420 =
  7. 7.HCF of 57 and 18 =
  8. 8.HCF of 70 and 120 =
  9. 9.HCF of 170 and 130 =
  10. 10.HCF of 30 and 165 =
  11. 11.HCF of 280 and 98 =
  12. 12.HCF of 40 and 48 =
  13. 13.HCF of 20 and 110 =
  14. 14.HCF of 40 and 128 =
  15. 15.HCF of 45 and 18 =
  16. 16.HCF of 225 and 285 =
  17. 17.HCF of 169 and 117 =
  18. 18.HCF of 25 and 95 =
  19. 19.HCF of 42 and 27 =
  20. 20.HCF of 306 and 180 =
  21. 21.HCF of 255 and 136 =
  22. 22.HCF of 99 and 88 =
  23. 23.HCF of 425 and 450 =
  24. 24.HCF of 391 and 437 =
  25. 25.HCF of 126 and 266 =
  26. 26.HCF of 98 and 21 =
  27. 27.HCF of 162 and 45 =
  28. 28.HCF of 33 and 88 =
  29. 29.HCF of 27 and 33 =
  30. 30.HCF of 104 and 64 =
  31. 31.HCF of 140 and 260 =
  32. 32.HCF of 242 and 330 =
  33. 33.HCF of 105 and 28 =
  34. 34.HCF of 320 and 140 =
  35. 35.HCF of 242 and 220 =
  36. 36.HCF of 18 and 22 =
  37. 37.HCF of 14 and 24 =
  38. 38.HCF of 54 and 36 =
  39. 39.HCF of 140 and 360 =
  40. 40.HCF of 46 and 437 =

Answer key

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

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