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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 15 · 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 120 and 42 =
  2. 2.HCF of 120 and 102 =
  3. 3.HCF of 33 and 45 =
  4. 4.HCF of 20 and 26 =
  5. 5.HCF of 84 and 63 =
  6. 6.HCF of 90 and 65 =
  7. 7.HCF of 27 and 63 =
  8. 8.HCF of 60 and 8 =
  9. 9.HCF of 119 and 34 =
  10. 10.HCF of 66 and 30 =
  11. 11.HCF of 112 and 160 =
  12. 12.HCF of 247 and 76 =
  13. 13.HCF of 48 and 112 =
  14. 14.HCF of 36 and 34 =
  15. 15.HCF of 65 and 78 =
  16. 16.HCF of 133 and 247 =
  17. 17.HCF of 270 and 75 =
  18. 18.HCF of 18 and 4 =
  19. 19.HCF of 10 and 95 =
  20. 20.HCF of 36 and 15 =
  21. 21.HCF of 255 and 225 =
  22. 22.HCF of 27 and 48 =
  23. 23.HCF of 10 and 18 =
  24. 24.HCF of 40 and 136 =
  25. 25.HCF of 192 and 80 =
  26. 26.HCF of 12 and 45 =
  27. 27.HCF of 100 and 275 =
  28. 28.HCF of 32 and 76 =
  29. 29.HCF of 306 and 252 =
  30. 30.HCF of 220 and 60 =
  31. 31.HCF of 136 and 160 =
  32. 32.HCF of 156 and 180 =
  33. 33.HCF of 90 and 108 =
  34. 34.HCF of 315 and 84 =
  35. 35.HCF of 169 and 52 =
  36. 36.HCF of 28 and 182 =
  37. 37.HCF of 125 and 450 =
  38. 38.HCF of 152 and 171 =
  39. 39.HCF of 84 and 90 =
  40. 40.HCF of 114 and 72 =

Answer key

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

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