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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 730 · 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 192 and 204 =
  2. 2.HCF of 143 and 55 =
  3. 3.HCF of 88 and 160 =
  4. 4.HCF of 91 and 104 =
  5. 5.HCF of 408 and 96 =
  6. 6.HCF of 85 and 187 =
  7. 7.HCF of 152 and 247 =
  8. 8.HCF of 115 and 437 =
  9. 9.HCF of 273 and 63 =
  10. 10.HCF of 238 and 252 =
  11. 11.HCF of 65 and 95 =
  12. 12.HCF of 48 and 42 =
  13. 13.HCF of 221 and 195 =
  14. 14.HCF of 112 and 152 =
  15. 15.HCF of 247 and 228 =
  16. 16.HCF of 104 and 40 =
  17. 17.HCF of 72 and 152 =
  18. 18.HCF of 60 and 42 =
  19. 19.HCF of 85 and 289 =
  20. 20.HCF of 90 and 48 =
  21. 21.HCF of 24 and 27 =
  22. 22.HCF of 289 and 170 =
  23. 23.HCF of 56 and 76 =
  24. 24.HCF of 288 and 270 =
  25. 25.HCF of 44 and 28 =
  26. 26.HCF of 54 and 117 =
  27. 27.HCF of 168 and 70 =
  28. 28.HCF of 105 and 60 =
  29. 29.HCF of 25 and 85 =
  30. 30.HCF of 50 and 30 =
  31. 31.HCF of 198 and 55 =
  32. 32.HCF of 192 and 176 =
  33. 33.HCF of 6 and 10 =
  34. 34.HCF of 176 and 128 =
  35. 35.HCF of 95 and 209 =
  36. 36.HCF of 77 and 91 =
  37. 37.HCF of 48 and 33 =
  38. 38.HCF of 21 and 14 =
  39. 39.HCF of 342 and 209 =
  40. 40.HCF of 51 and 18 =

Answer key

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

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