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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 283 · 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 20 and 28 =
  2. 2.HCF of 72 and 44 =
  3. 3.HCF of 110 and 100 =
  4. 4.HCF of 48 and 114 =
  5. 5.HCF of 110 and 170 =
  6. 6.HCF of 60 and 108 =
  7. 7.HCF of 72 and 160 =
  8. 8.HCF of 187 and 198 =
  9. 9.HCF of 99 and 143 =
  10. 10.HCF of 80 and 304 =
  11. 11.HCF of 110 and 30 =
  12. 12.HCF of 304 and 57 =
  13. 13.HCF of 6 and 16 =
  14. 14.HCF of 52 and 56 =
  15. 15.HCF of 210 and 165 =
  16. 16.HCF of 18 and 96 =
  17. 17.HCF of 340 and 40 =
  18. 18.HCF of 88 and 48 =
  19. 19.HCF of 26 and 117 =
  20. 20.HCF of 198 and 324 =
  21. 21.HCF of 285 and 240 =
  22. 22.HCF of 33 and 55 =
  23. 23.HCF of 24 and 156 =
  24. 24.HCF of 85 and 136 =
  25. 25.HCF of 18 and 15 =
  26. 26.HCF of 84 and 108 =
  27. 27.HCF of 40 and 75 =
  28. 28.HCF of 140 and 21 =
  29. 29.HCF of 65 and 70 =
  30. 30.HCF of 156 and 132 =
  31. 31.HCF of 18 and 27 =
  32. 32.HCF of 140 and 80 =
  33. 33.HCF of 380 and 280 =
  34. 34.HCF of 119 and 187 =
  35. 35.HCF of 45 and 42 =
  36. 36.HCF of 182 and 39 =
  37. 37.HCF of 176 and 110 =
  38. 38.HCF of 51 and 9 =
  39. 39.HCF of 32 and 38 =
  40. 40.HCF of 154 and 168 =

Answer key

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

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