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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 669 · 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 117 and 27 =
  2. 2.HCF of 36 and 99 =
  3. 3.HCF of 475 and 275 =
  4. 4.HCF of 8 and 52 =
  5. 5.HCF of 51 and 34 =
  6. 6.HCF of 133 and 247 =
  7. 7.HCF of 460 and 391 =
  8. 8.HCF of 30 and 36 =
  9. 9.HCF of 437 and 299 =
  10. 10.HCF of 51 and 6 =
  11. 11.HCF of 168 and 120 =
  12. 12.HCF of 130 and 40 =
  13. 13.HCF of 240 and 228 =
  14. 14.HCF of 200 and 130 =
  15. 15.HCF of 285 and 304 =
  16. 16.HCF of 105 and 63 =
  17. 17.HCF of 36 and 99 =
  18. 18.HCF of 425 and 200 =
  19. 19.HCF of 55 and 77 =
  20. 20.HCF of 66 and 114 =
  21. 21.HCF of 28 and 24 =
  22. 22.HCF of 63 and 72 =
  23. 23.HCF of 192 and 120 =
  24. 24.HCF of 80 and 60 =
  25. 25.HCF of 357 and 63 =
  26. 26.HCF of 21 and 51 =
  27. 27.HCF of 54 and 42 =
  28. 28.HCF of 84 and 78 =
  29. 29.HCF of 14 and 10 =
  30. 30.HCF of 90 and 102 =
  31. 31.HCF of 270 and 234 =
  32. 32.HCF of 209 and 220 =
  33. 33.HCF of 208 and 240 =
  34. 34.HCF of 9 and 15 =
  35. 35.HCF of 375 and 275 =
  36. 36.HCF of 133 and 42 =
  37. 37.HCF of 68 and 48 =
  38. 38.HCF of 48 and 90 =
  39. 39.HCF of 115 and 46 =
  40. 40.HCF of 204 and 180 =

Answer key

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

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