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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 295 · 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 140 and 80 =
  2. 2.HCF of 144 and 160 =
  3. 3.HCF of 143 and 165 =
  4. 4.HCF of 57 and 24 =
  5. 5.HCF of 280 and 238 =
  6. 6.HCF of 18 and 22 =
  7. 7.HCF of 76 and 44 =
  8. 8.HCF of 133 and 14 =
  9. 9.HCF of 108 and 240 =
  10. 10.HCF of 69 and 46 =
  11. 11.HCF of 18 and 28 =
  12. 12.HCF of 44 and 72 =
  13. 13.HCF of 52 and 169 =
  14. 14.HCF of 117 and 27 =
  15. 15.HCF of 120 and 32 =
  16. 16.HCF of 91 and 78 =
  17. 17.HCF of 81 and 36 =
  18. 18.HCF of 68 and 8 =
  19. 19.HCF of 272 and 144 =
  20. 20.HCF of 95 and 20 =
  21. 21.HCF of 315 and 84 =
  22. 22.HCF of 8 and 22 =
  23. 23.HCF of 204 and 228 =
  24. 24.HCF of 27 and 180 =
  25. 25.HCF of 380 and 280 =
  26. 26.HCF of 120 and 32 =
  27. 27.HCF of 21 and 112 =
  28. 28.HCF of 304 and 176 =
  29. 29.HCF of 306 and 216 =
  30. 30.HCF of 136 and 48 =
  31. 31.HCF of 50 and 90 =
  32. 32.HCF of 45 and 144 =
  33. 33.HCF of 42 and 154 =
  34. 34.HCF of 64 and 36 =
  35. 35.HCF of 45 and 165 =
  36. 36.HCF of 323 and 114 =
  37. 37.HCF of 80 and 55 =
  38. 38.HCF of 312 and 480 =
  39. 39.HCF of 126 and 90 =
  40. 40.HCF of 138 and 115 =

Answer key

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

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