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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 817 · 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 374 and 132 =
  2. 2.HCF of 180 and 190 =
  3. 3.HCF of 135 and 36 =
  4. 4.HCF of 16 and 36 =
  5. 5.HCF of 209 and 55 =
  6. 6.HCF of 34 and 119 =
  7. 7.HCF of 220 and 300 =
  8. 8.HCF of 50 and 110 =
  9. 9.HCF of 30 and 96 =
  10. 10.HCF of 40 and 22 =
  11. 11.HCF of 34 and 18 =
  12. 12.HCF of 126 and 105 =
  13. 13.HCF of 76 and 16 =
  14. 14.HCF of 240 and 255 =
  15. 15.HCF of 208 and 117 =
  16. 16.HCF of 51 and 18 =
  17. 17.HCF of 165 and 22 =
  18. 18.HCF of 20 and 68 =
  19. 19.HCF of 85 and 34 =
  20. 20.HCF of 102 and 90 =
  21. 21.HCF of 46 and 115 =
  22. 22.HCF of 121 and 187 =
  23. 23.HCF of 18 and 81 =
  24. 24.HCF of 8 and 12 =
  25. 25.HCF of 204 and 48 =
  26. 26.HCF of 264 and 374 =
  27. 27.HCF of 77 and 98 =
  28. 28.HCF of 361 and 133 =
  29. 29.HCF of 160 and 48 =
  30. 30.HCF of 81 and 180 =
  31. 31.HCF of 77 and 14 =
  32. 32.HCF of 40 and 52 =
  33. 33.HCF of 110 and 70 =
  34. 34.HCF of 14 and 10 =
  35. 35.HCF of 253 and 460 =
  36. 36.HCF of 136 and 112 =
  37. 37.HCF of 10 and 35 =
  38. 38.HCF of 77 and 143 =
  39. 39.HCF of 238 and 168 =
  40. 40.HCF of 299 and 230 =

Answer key

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

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