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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 568 · 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 30 and 80 =
  2. 2.HCF of 120 and 105 =
  3. 3.HCF of 140 and 21 =
  4. 4.HCF of 180 and 24 =
  5. 5.HCF of 95 and 323 =
  6. 6.HCF of 44 and 64 =
  7. 7.HCF of 299 and 253 =
  8. 8.HCF of 187 and 255 =
  9. 9.HCF of 51 and 39 =
  10. 10.HCF of 105 and 84 =
  11. 11.HCF of 231 and 252 =
  12. 12.HCF of 315 and 273 =
  13. 13.HCF of 252 and 198 =
  14. 14.HCF of 100 and 380 =
  15. 15.HCF of 216 and 408 =
  16. 16.HCF of 45 and 117 =
  17. 17.HCF of 70 and 55 =
  18. 18.HCF of 91 and 21 =
  19. 19.HCF of 100 and 240 =
  20. 20.HCF of 48 and 112 =
  21. 21.HCF of 323 and 380 =
  22. 22.HCF of 72 and 456 =
  23. 23.HCF of 128 and 80 =
  24. 24.HCF of 80 and 100 =
  25. 25.HCF of 52 and 56 =
  26. 26.HCF of 20 and 45 =
  27. 27.HCF of 28 and 8 =
  28. 28.HCF of 98 and 252 =
  29. 29.HCF of 425 and 100 =
  30. 30.HCF of 112 and 49 =
  31. 31.HCF of 180 and 195 =
  32. 32.HCF of 144 and 456 =
  33. 33.HCF of 66 and 72 =
  34. 34.HCF of 104 and 65 =
  35. 35.HCF of 88 and 77 =
  36. 36.HCF of 120 and 156 =
  37. 37.HCF of 30 and 12 =
  38. 38.HCF of 140 and 154 =
  39. 39.HCF of 162 and 99 =
  40. 40.HCF of 25 and 60 =

Answer key

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

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