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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 765 · 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 162 and 72 =
  2. 2.HCF of 119 and 84 =
  3. 3.HCF of 220 and 340 =
  4. 4.HCF of 102 and 84 =
  5. 5.HCF of 54 and 45 =
  6. 6.HCF of 76 and 8 =
  7. 7.HCF of 136 and 72 =
  8. 8.HCF of 51 and 9 =
  9. 9.HCF of 391 and 414 =
  10. 10.HCF of 52 and 20 =
  11. 11.HCF of 9 and 60 =
  12. 12.HCF of 286 and 132 =
  13. 13.HCF of 63 and 162 =
  14. 14.HCF of 110 and 418 =
  15. 15.HCF of 28 and 182 =
  16. 16.HCF of 20 and 64 =
  17. 17.HCF of 195 and 26 =
  18. 18.HCF of 207 and 460 =
  19. 19.HCF of 69 and 253 =
  20. 20.HCF of 78 and 12 =
  21. 21.HCF of 30 and 54 =
  22. 22.HCF of 90 and 216 =
  23. 23.HCF of 420 and 63 =
  24. 24.HCF of 224 and 238 =
  25. 25.HCF of 133 and 323 =
  26. 26.HCF of 22 and 20 =
  27. 27.HCF of 225 and 425 =
  28. 28.HCF of 36 and 38 =
  29. 29.HCF of 21 and 133 =
  30. 30.HCF of 45 and 12 =
  31. 31.HCF of 342 and 252 =
  32. 32.HCF of 35 and 63 =
  33. 33.HCF of 300 and 275 =
  34. 34.HCF of 34 and 119 =
  35. 35.HCF of 153 and 221 =
  36. 36.HCF of 51 and 6 =
  37. 37.HCF of 63 and 133 =
  38. 38.HCF of 132 and 108 =
  39. 39.HCF of 6 and 57 =
  40. 40.HCF of 64 and 48 =

Answer key

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

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