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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 798 · 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 289 and 340 =
  2. 2.HCF of 196 and 42 =
  3. 3.HCF of 78 and 65 =
  4. 4.HCF of 108 and 198 =
  5. 5.HCF of 198 and 144 =
  6. 6.HCF of 120 and 384 =
  7. 7.HCF of 28 and 24 =
  8. 8.HCF of 120 and 135 =
  9. 9.HCF of 65 and 208 =
  10. 10.HCF of 54 and 342 =
  11. 11.HCF of 361 and 342 =
  12. 12.HCF of 81 and 117 =
  13. 13.HCF of 126 and 154 =
  14. 14.HCF of 150 and 45 =
  15. 15.HCF of 238 and 51 =
  16. 16.HCF of 30 and 45 =
  17. 17.HCF of 391 and 161 =
  18. 18.HCF of 198 and 216 =
  19. 19.HCF of 391 and 115 =
  20. 20.HCF of 128 and 88 =
  21. 21.HCF of 378 and 357 =
  22. 22.HCF of 54 and 171 =
  23. 23.HCF of 340 and 120 =
  24. 24.HCF of 45 and 36 =
  25. 25.HCF of 35 and 65 =
  26. 26.HCF of 147 and 252 =
  27. 27.HCF of 304 and 224 =
  28. 28.HCF of 190 and 60 =
  29. 29.HCF of 190 and 180 =
  30. 30.HCF of 76 and 95 =
  31. 31.HCF of 64 and 40 =
  32. 32.HCF of 238 and 255 =
  33. 33.HCF of 240 and 256 =
  34. 34.HCF of 154 and 70 =
  35. 35.HCF of 160 and 260 =
  36. 36.HCF of 133 and 84 =
  37. 37.HCF of 8 and 76 =
  38. 38.HCF of 240 and 285 =
  39. 39.HCF of 12 and 66 =
  40. 40.HCF of 143 and 208 =

Answer key

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

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