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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 539 · 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 210 and 147 =
  2. 2.HCF of 96 and 312 =
  3. 3.HCF of 20 and 68 =
  4. 4.HCF of 154 and 28 =
  5. 5.HCF of 300 and 40 =
  6. 6.HCF of 50 and 475 =
  7. 7.HCF of 14 and 24 =
  8. 8.HCF of 32 and 44 =
  9. 9.HCF of 15 and 48 =
  10. 10.HCF of 306 and 342 =
  11. 11.HCF of 391 and 460 =
  12. 12.HCF of 90 and 70 =
  13. 13.HCF of 228 and 204 =
  14. 14.HCF of 345 and 184 =
  15. 15.HCF of 35 and 20 =
  16. 16.HCF of 85 and 289 =
  17. 17.HCF of 72 and 84 =
  18. 18.HCF of 52 and 143 =
  19. 19.HCF of 171 and 36 =
  20. 20.HCF of 420 and 147 =
  21. 21.HCF of 238 and 112 =
  22. 22.HCF of 88 and 112 =
  23. 23.HCF of 15 and 57 =
  24. 24.HCF of 187 and 136 =
  25. 25.HCF of 275 and 475 =
  26. 26.HCF of 70 and 168 =
  27. 27.HCF of 210 and 231 =
  28. 28.HCF of 32 and 52 =
  29. 29.HCF of 374 and 286 =
  30. 30.HCF of 16 and 120 =
  31. 31.HCF of 120 and 110 =
  32. 32.HCF of 105 and 147 =
  33. 33.HCF of 285 and 225 =
  34. 34.HCF of 8 and 34 =
  35. 35.HCF of 77 and 35 =
  36. 36.HCF of 100 and 60 =
  37. 37.HCF of 76 and 8 =
  38. 38.HCF of 165 and 120 =
  39. 39.HCF of 80 and 150 =
  40. 40.HCF of 336 and 273 =

Answer key

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

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