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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 786 · 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 76 and 28 =
  2. 2.HCF of 54 and 288 =
  3. 3.HCF of 380 and 400 =
  4. 4.HCF of 80 and 90 =
  5. 5.HCF of 51 and 60 =
  6. 6.HCF of 20 and 8 =
  7. 7.HCF of 30 and 12 =
  8. 8.HCF of 180 and 153 =
  9. 9.HCF of 160 and 180 =
  10. 10.HCF of 77 and 49 =
  11. 11.HCF of 24 and 68 =
  12. 12.HCF of 136 and 24 =
  13. 13.HCF of 24 and 66 =
  14. 14.HCF of 24 and 90 =
  15. 15.HCF of 289 and 323 =
  16. 16.HCF of 60 and 140 =
  17. 17.HCF of 144 and 156 =
  18. 18.HCF of 195 and 208 =
  19. 19.HCF of 32 and 28 =
  20. 20.HCF of 208 and 247 =
  21. 21.HCF of 18 and 39 =
  22. 22.HCF of 50 and 275 =
  23. 23.HCF of 96 and 36 =
  24. 24.HCF of 69 and 322 =
  25. 25.HCF of 209 and 323 =
  26. 26.HCF of 30 and 40 =
  27. 27.HCF of 36 and 26 =
  28. 28.HCF of 133 and 304 =
  29. 29.HCF of 51 and 21 =
  30. 30.HCF of 8 and 68 =
  31. 31.HCF of 160 and 30 =
  32. 32.HCF of 54 and 42 =
  33. 33.HCF of 180 and 96 =
  34. 34.HCF of 171 and 135 =
  35. 35.HCF of 273 and 84 =
  36. 36.HCF of 95 and 10 =
  37. 37.HCF of 50 and 35 =
  38. 38.HCF of 65 and 143 =
  39. 39.HCF of 176 and 154 =
  40. 40.HCF of 46 and 207 =

Answer key

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

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