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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 529 · 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 8 and 22 =
  2. 2.HCF of 220 and 180 =
  3. 3.HCF of 27 and 126 =
  4. 4.HCF of 272 and 187 =
  5. 5.HCF of 26 and 169 =
  6. 6.HCF of 45 and 63 =
  7. 7.HCF of 8 and 14 =
  8. 8.HCF of 72 and 342 =
  9. 9.HCF of 55 and 44 =
  10. 10.HCF of 130 and 80 =
  11. 11.HCF of 120 and 144 =
  12. 12.HCF of 342 and 95 =
  13. 13.HCF of 39 and 60 =
  14. 14.HCF of 320 and 144 =
  15. 15.HCF of 45 and 6 =
  16. 16.HCF of 85 and 10 =
  17. 17.HCF of 342 and 247 =
  18. 18.HCF of 65 and 30 =
  19. 19.HCF of 100 and 380 =
  20. 20.HCF of 286 and 396 =
  21. 21.HCF of 126 and 72 =
  22. 22.HCF of 75 and 285 =
  23. 23.HCF of 325 and 200 =
  24. 24.HCF of 90 and 12 =
  25. 25.HCF of 39 and 30 =
  26. 26.HCF of 165 and 285 =
  27. 27.HCF of 119 and 98 =
  28. 28.HCF of 100 and 75 =
  29. 29.HCF of 130 and 160 =
  30. 30.HCF of 165 and 135 =
  31. 31.HCF of 176 and 418 =
  32. 32.HCF of 126 and 224 =
  33. 33.HCF of 105 and 240 =
  34. 34.HCF of 340 and 119 =
  35. 35.HCF of 288 and 80 =
  36. 36.HCF of 56 and 32 =
  37. 37.HCF of 231 and 357 =
  38. 38.HCF of 242 and 286 =
  39. 39.HCF of 45 and 165 =
  40. 40.HCF of 84 and 35 =

Answer key

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

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