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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 1 · 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 110 =
  2. 2.HCF of 10 and 95 =
  3. 3.HCF of 187 and 99 =
  4. 4.HCF of 255 and 187 =
  5. 5.HCF of 57 and 21 =
  6. 6.HCF of 152 and 95 =
  7. 7.HCF of 20 and 36 =
  8. 8.HCF of 176 and 304 =
  9. 9.HCF of 36 and 135 =
  10. 10.HCF of 144 and 84 =
  11. 11.HCF of 95 and 171 =
  12. 12.HCF of 121 and 165 =
  13. 13.HCF of 152 and 160 =
  14. 14.HCF of 350 and 75 =
  15. 15.HCF of 156 and 192 =
  16. 16.HCF of 120 and 56 =
  17. 17.HCF of 182 and 98 =
  18. 18.HCF of 30 and 75 =
  19. 19.HCF of 140 and 40 =
  20. 20.HCF of 98 and 119 =
  21. 21.HCF of 75 and 85 =
  22. 22.HCF of 450 and 125 =
  23. 23.HCF of 165 and 285 =
  24. 24.HCF of 88 and 110 =
  25. 25.HCF of 171 and 108 =
  26. 26.HCF of 182 and 196 =
  27. 27.HCF of 126 and 117 =
  28. 28.HCF of 40 and 300 =
  29. 29.HCF of 84 and 119 =
  30. 30.HCF of 110 and 70 =
  31. 31.HCF of 156 and 120 =
  32. 32.HCF of 63 and 168 =
  33. 33.HCF of 8 and 68 =
  34. 34.HCF of 64 and 304 =
  35. 35.HCF of 22 and 30 =
  36. 36.HCF of 260 and 80 =
  37. 37.HCF of 77 and 35 =
  38. 38.HCF of 112 and 256 =
  39. 39.HCF of 121 and 165 =
  40. 40.HCF of 342 and 361 =

Answer key

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

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