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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 285 · 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 70 and 80 =
  2. 2.HCF of 75 and 180 =
  3. 3.HCF of 60 and 55 =
  4. 4.HCF of 51 and 18 =
  5. 5.HCF of 68 and 24 =
  6. 6.HCF of 120 and 216 =
  7. 7.HCF of 456 and 192 =
  8. 8.HCF of 85 and 34 =
  9. 9.HCF of 119 and 34 =
  10. 10.HCF of 171 and 36 =
  11. 11.HCF of 153 and 108 =
  12. 12.HCF of 21 and 15 =
  13. 13.HCF of 208 and 112 =
  14. 14.HCF of 99 and 45 =
  15. 15.HCF of 78 and 30 =
  16. 16.HCF of 130 and 190 =
  17. 17.HCF of 10 and 18 =
  18. 18.HCF of 36 and 63 =
  19. 19.HCF of 234 and 252 =
  20. 20.HCF of 51 and 54 =
  21. 21.HCF of 136 and 56 =
  22. 22.HCF of 110 and 150 =
  23. 23.HCF of 440 and 154 =
  24. 24.HCF of 180 and 105 =
  25. 25.HCF of 22 and 40 =
  26. 26.HCF of 208 and 160 =
  27. 27.HCF of 162 and 126 =
  28. 28.HCF of 76 and 68 =
  29. 29.HCF of 18 and 39 =
  30. 30.HCF of 85 and 25 =
  31. 31.HCF of 32 and 104 =
  32. 32.HCF of 135 and 195 =
  33. 33.HCF of 42 and 15 =
  34. 34.HCF of 210 and 154 =
  35. 35.HCF of 91 and 140 =
  36. 36.HCF of 117 and 91 =
  37. 37.HCF of 78 and 60 =
  38. 38.HCF of 6 and 9 =
  39. 39.HCF of 125 and 400 =
  40. 40.HCF of 144 and 342 =

Answer key

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

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