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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 513 · 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 60 and 102 =
  2. 2.HCF of 42 and 224 =
  3. 3.HCF of 24 and 112 =
  4. 4.HCF of 126 and 54 =
  5. 5.HCF of 48 and 102 =
  6. 6.HCF of 48 and 90 =
  7. 7.HCF of 100 and 425 =
  8. 8.HCF of 42 and 108 =
  9. 9.HCF of 135 and 75 =
  10. 10.HCF of 136 and 40 =
  11. 11.HCF of 117 and 162 =
  12. 12.HCF of 36 and 66 =
  13. 13.HCF of 161 and 460 =
  14. 14.HCF of 230 and 299 =
  15. 15.HCF of 168 and 288 =
  16. 16.HCF of 176 and 121 =
  17. 17.HCF of 108 and 63 =
  18. 18.HCF of 105 and 112 =
  19. 19.HCF of 152 and 160 =
  20. 20.HCF of 69 and 391 =
  21. 21.HCF of 65 and 26 =
  22. 22.HCF of 98 and 238 =
  23. 23.HCF of 306 and 360 =
  24. 24.HCF of 45 and 255 =
  25. 25.HCF of 160 and 220 =
  26. 26.HCF of 336 and 408 =
  27. 27.HCF of 90 and 102 =
  28. 28.HCF of 475 and 400 =
  29. 29.HCF of 130 and 90 =
  30. 30.HCF of 48 and 66 =
  31. 31.HCF of 55 and 10 =
  32. 32.HCF of 399 and 336 =
  33. 33.HCF of 78 and 48 =
  34. 34.HCF of 40 and 34 =
  35. 35.HCF of 45 and 285 =
  36. 36.HCF of 42 and 133 =
  37. 37.HCF of 65 and 10 =
  38. 38.HCF of 20 and 35 =
  39. 39.HCF of 117 and 221 =
  40. 40.HCF of 98 and 42 =

Answer key

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

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