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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 772 · 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 9 and 39 =
  2. 2.HCF of 18 and 12 =
  3. 3.HCF of 240 and 32 =
  4. 4.HCF of 247 and 91 =
  5. 5.HCF of 68 and 221 =
  6. 6.HCF of 304 and 32 =
  7. 7.HCF of 437 and 138 =
  8. 8.HCF of 105 and 195 =
  9. 9.HCF of 60 and 75 =
  10. 10.HCF of 153 and 18 =
  11. 11.HCF of 8 and 52 =
  12. 12.HCF of 63 and 18 =
  13. 13.HCF of 162 and 171 =
  14. 14.HCF of 8 and 28 =
  15. 15.HCF of 78 and 108 =
  16. 16.HCF of 143 and 195 =
  17. 17.HCF of 192 and 168 =
  18. 18.HCF of 126 and 171 =
  19. 19.HCF of 95 and 57 =
  20. 20.HCF of 28 and 60 =
  21. 21.HCF of 63 and 90 =
  22. 22.HCF of 198 and 288 =
  23. 23.HCF of 147 and 378 =
  24. 24.HCF of 32 and 120 =
  25. 25.HCF of 33 and 42 =
  26. 26.HCF of 300 and 105 =
  27. 27.HCF of 272 and 51 =
  28. 28.HCF of 66 and 120 =
  29. 29.HCF of 152 and 95 =
  30. 30.HCF of 88 and 112 =
  31. 31.HCF of 25 and 10 =
  32. 32.HCF of 125 and 225 =
  33. 33.HCF of 168 and 98 =
  34. 34.HCF of 180 and 160 =
  35. 35.HCF of 256 and 48 =
  36. 36.HCF of 50 and 140 =
  37. 37.HCF of 84 and 182 =
  38. 38.HCF of 30 and 225 =
  39. 39.HCF of 247 and 195 =
  40. 40.HCF of 64 and 104 =

Answer key

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

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