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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 83 · 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 161 and 138 =
  2. 2.HCF of 190 and 323 =
  3. 3.HCF of 361 and 95 =
  4. 4.HCF of 32 and 40 =
  5. 5.HCF of 90 and 50 =
  6. 6.HCF of 128 and 56 =
  7. 7.HCF of 40 and 170 =
  8. 8.HCF of 275 and 450 =
  9. 9.HCF of 70 and 91 =
  10. 10.HCF of 39 and 18 =
  11. 11.HCF of 112 and 320 =
  12. 12.HCF of 14 and 91 =
  13. 13.HCF of 102 and 323 =
  14. 14.HCF of 234 and 54 =
  15. 15.HCF of 135 and 36 =
  16. 16.HCF of 132 and 240 =
  17. 17.HCF of 104 and 221 =
  18. 18.HCF of 77 and 84 =
  19. 19.HCF of 35 and 56 =
  20. 20.HCF of 108 and 204 =
  21. 21.HCF of 24 and 156 =
  22. 22.HCF of 80 and 35 =
  23. 23.HCF of 273 and 168 =
  24. 24.HCF of 108 and 120 =
  25. 25.HCF of 360 and 192 =
  26. 26.HCF of 33 and 36 =
  27. 27.HCF of 112 and 80 =
  28. 28.HCF of 253 and 437 =
  29. 29.HCF of 112 and 120 =
  30. 30.HCF of 144 and 120 =
  31. 31.HCF of 160 and 104 =
  32. 32.HCF of 190 and 140 =
  33. 33.HCF of 240 and 64 =
  34. 34.HCF of 12 and 15 =
  35. 35.HCF of 182 and 252 =
  36. 36.HCF of 15 and 33 =
  37. 37.HCF of 182 and 42 =
  38. 38.HCF of 100 and 65 =
  39. 39.HCF of 30 and 140 =
  40. 40.HCF of 288 and 408 =

Answer key

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

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