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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 527 · 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 126 and 91 =
  2. 2.HCF of 220 and 300 =
  3. 3.HCF of 49 and 28 =
  4. 4.HCF of 20 and 76 =
  5. 5.HCF of 220 and 360 =
  6. 6.HCF of 156 and 36 =
  7. 7.HCF of 168 and 228 =
  8. 8.HCF of 160 and 260 =
  9. 9.HCF of 85 and 45 =
  10. 10.HCF of 70 and 238 =
  11. 11.HCF of 85 and 80 =
  12. 12.HCF of 52 and 32 =
  13. 13.HCF of 294 and 357 =
  14. 14.HCF of 105 and 75 =
  15. 15.HCF of 60 and 28 =
  16. 16.HCF of 306 and 324 =
  17. 17.HCF of 42 and 70 =
  18. 18.HCF of 55 and 132 =
  19. 19.HCF of 60 and 255 =
  20. 20.HCF of 272 and 144 =
  21. 21.HCF of 51 and 42 =
  22. 22.HCF of 10 and 14 =
  23. 23.HCF of 70 and 90 =
  24. 24.HCF of 12 and 68 =
  25. 25.HCF of 133 and 70 =
  26. 26.HCF of 187 and 221 =
  27. 27.HCF of 224 and 126 =
  28. 28.HCF of 147 and 357 =
  29. 29.HCF of 234 and 288 =
  30. 30.HCF of 480 and 72 =
  31. 31.HCF of 15 and 36 =
  32. 32.HCF of 120 and 456 =
  33. 33.HCF of 256 and 272 =
  34. 34.HCF of 32 and 52 =
  35. 35.HCF of 204 and 120 =
  36. 36.HCF of 240 and 260 =
  37. 37.HCF of 156 and 216 =
  38. 38.HCF of 112 and 266 =
  39. 39.HCF of 361 and 114 =
  40. 40.HCF of 396 and 110 =

Answer key

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

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