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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 237 · 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 66 and 84 =
  2. 2.HCF of 32 and 10 =
  3. 3.HCF of 380 and 133 =
  4. 4.HCF of 209 and 143 =
  5. 5.HCF of 20 and 65 =
  6. 6.HCF of 55 and 121 =
  7. 7.HCF of 48 and 20 =
  8. 8.HCF of 8 and 18 =
  9. 9.HCF of 98 and 70 =
  10. 10.HCF of 48 and 160 =
  11. 11.HCF of 54 and 114 =
  12. 12.HCF of 36 and 204 =
  13. 13.HCF of 168 and 189 =
  14. 14.HCF of 44 and 143 =
  15. 15.HCF of 108 and 90 =
  16. 16.HCF of 114 and 24 =
  17. 17.HCF of 187 and 51 =
  18. 18.HCF of 169 and 221 =
  19. 19.HCF of 228 and 240 =
  20. 20.HCF of 72 and 162 =
  21. 21.HCF of 160 and 24 =
  22. 22.HCF of 100 and 180 =
  23. 23.HCF of 104 and 136 =
  24. 24.HCF of 57 and 152 =
  25. 25.HCF of 30 and 18 =
  26. 26.HCF of 64 and 136 =
  27. 27.HCF of 133 and 91 =
  28. 28.HCF of 126 and 90 =
  29. 29.HCF of 391 and 276 =
  30. 30.HCF of 323 and 102 =
  31. 31.HCF of 16 and 76 =
  32. 32.HCF of 63 and 336 =
  33. 33.HCF of 425 and 325 =
  34. 34.HCF of 336 and 72 =
  35. 35.HCF of 68 and 64 =
  36. 36.HCF of 70 and 119 =
  37. 37.HCF of 156 and 204 =
  38. 38.HCF of 26 and 16 =
  39. 39.HCF of 350 and 75 =
  40. 40.HCF of 54 and 45 =

Answer key

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

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