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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 840 · 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 80 and 65 =
  2. 2.HCF of 25 and 10 =
  3. 3.HCF of 208 and 128 =
  4. 4.HCF of 104 and 120 =
  5. 5.HCF of 78 and 66 =
  6. 6.HCF of 54 and 36 =
  7. 7.HCF of 98 and 56 =
  8. 8.HCF of 105 and 98 =
  9. 9.HCF of 69 and 46 =
  10. 10.HCF of 10 and 8 =
  11. 11.HCF of 264 and 154 =
  12. 12.HCF of 100 and 30 =
  13. 13.HCF of 128 and 40 =
  14. 14.HCF of 28 and 18 =
  15. 15.HCF of 30 and 14 =
  16. 16.HCF of 234 and 221 =
  17. 17.HCF of 198 and 324 =
  18. 18.HCF of 176 and 64 =
  19. 19.HCF of 91 and 105 =
  20. 20.HCF of 184 and 345 =
  21. 21.HCF of 112 and 320 =
  22. 22.HCF of 24 and 102 =
  23. 23.HCF of 154 and 88 =
  24. 24.HCF of 224 and 272 =
  25. 25.HCF of 175 and 150 =
  26. 26.HCF of 36 and 8 =
  27. 27.HCF of 32 and 112 =
  28. 28.HCF of 30 and 78 =
  29. 29.HCF of 175 and 500 =
  30. 30.HCF of 221 and 272 =
  31. 31.HCF of 399 and 189 =
  32. 32.HCF of 9 and 30 =
  33. 33.HCF of 120 and 104 =
  34. 34.HCF of 90 and 126 =
  35. 35.HCF of 120 and 64 =
  36. 36.HCF of 34 and 289 =
  37. 37.HCF of 252 and 357 =
  38. 38.HCF of 30 and 84 =
  39. 39.HCF of 100 and 15 =
  40. 40.HCF of 21 and 9 =

Answer key

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

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