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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 623 · 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 68 and 32 =
  2. 2.HCF of 136 and 323 =
  3. 3.HCF of 9 and 6 =
  4. 4.HCF of 69 and 161 =
  5. 5.HCF of 144 and 88 =
  6. 6.HCF of 147 and 315 =
  7. 7.HCF of 400 and 275 =
  8. 8.HCF of 12 and 80 =
  9. 9.HCF of 24 and 33 =
  10. 10.HCF of 126 and 112 =
  11. 11.HCF of 28 and 77 =
  12. 12.HCF of 299 and 92 =
  13. 13.HCF of 126 and 49 =
  14. 14.HCF of 27 and 126 =
  15. 15.HCF of 425 and 350 =
  16. 16.HCF of 340 and 221 =
  17. 17.HCF of 60 and 165 =
  18. 18.HCF of 286 and 154 =
  19. 19.HCF of 180 and 110 =
  20. 20.HCF of 36 and 99 =
  21. 21.HCF of 126 and 56 =
  22. 22.HCF of 209 and 285 =
  23. 23.HCF of 36 and 32 =
  24. 24.HCF of 12 and 38 =
  25. 25.HCF of 51 and 323 =
  26. 26.HCF of 18 and 57 =
  27. 27.HCF of 78 and 102 =
  28. 28.HCF of 60 and 192 =
  29. 29.HCF of 234 and 90 =
  30. 30.HCF of 399 and 189 =
  31. 31.HCF of 55 and 176 =
  32. 32.HCF of 475 and 250 =
  33. 33.HCF of 190 and 70 =
  34. 34.HCF of 80 and 90 =
  35. 35.HCF of 28 and 40 =
  36. 36.HCF of 273 and 420 =
  37. 37.HCF of 16 and 72 =
  38. 38.HCF of 273 and 147 =
  39. 39.HCF of 21 and 9 =
  40. 40.HCF of 88 and 154 =

Answer key

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

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