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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 747 · 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 63 and 108 =
  2. 2.HCF of 64 and 176 =
  3. 3.HCF of 231 and 378 =
  4. 4.HCF of 68 and 51 =
  5. 5.HCF of 15 and 27 =
  6. 6.HCF of 105 and 255 =
  7. 7.HCF of 76 and 36 =
  8. 8.HCF of 325 and 200 =
  9. 9.HCF of 312 and 384 =
  10. 10.HCF of 72 and 52 =
  11. 11.HCF of 208 and 48 =
  12. 12.HCF of 8 and 6 =
  13. 13.HCF of 15 and 48 =
  14. 14.HCF of 162 and 99 =
  15. 15.HCF of 154 and 98 =
  16. 16.HCF of 8 and 38 =
  17. 17.HCF of 40 and 260 =
  18. 18.HCF of 425 and 225 =
  19. 19.HCF of 220 and 120 =
  20. 20.HCF of 266 and 42 =
  21. 21.HCF of 90 and 288 =
  22. 22.HCF of 114 and 120 =
  23. 23.HCF of 221 and 78 =
  24. 24.HCF of 264 and 144 =
  25. 25.HCF of 117 and 90 =
  26. 26.HCF of 152 and 80 =
  27. 27.HCF of 126 and 119 =
  28. 28.HCF of 51 and 170 =
  29. 29.HCF of 65 and 60 =
  30. 30.HCF of 12 and 20 =
  31. 31.HCF of 272 and 256 =
  32. 32.HCF of 187 and 85 =
  33. 33.HCF of 28 and 24 =
  34. 34.HCF of 153 and 289 =
  35. 35.HCF of 54 and 57 =
  36. 36.HCF of 32 and 48 =
  37. 37.HCF of 240 and 224 =
  38. 38.HCF of 95 and 50 =
  39. 39.HCF of 80 and 56 =
  40. 40.HCF of 21 and 39 =

Answer key

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

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