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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 443 · 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 70 and 160 =
  2. 2.HCF of 80 and 36 =
  3. 3.HCF of 361 and 266 =
  4. 4.HCF of 56 and 98 =
  5. 5.HCF of 120 and 105 =
  6. 6.HCF of 40 and 12 =
  7. 7.HCF of 10 and 38 =
  8. 8.HCF of 105 and 285 =
  9. 9.HCF of 20 and 55 =
  10. 10.HCF of 12 and 38 =
  11. 11.HCF of 270 and 165 =
  12. 12.HCF of 14 and 4 =
  13. 13.HCF of 18 and 102 =
  14. 14.HCF of 125 and 425 =
  15. 15.HCF of 105 and 147 =
  16. 16.HCF of 147 and 42 =
  17. 17.HCF of 64 and 12 =
  18. 18.HCF of 126 and 399 =
  19. 19.HCF of 100 and 280 =
  20. 20.HCF of 54 and 180 =
  21. 21.HCF of 38 and 12 =
  22. 22.HCF of 12 and 15 =
  23. 23.HCF of 90 and 114 =
  24. 24.HCF of 273 and 294 =
  25. 25.HCF of 216 and 198 =
  26. 26.HCF of 40 and 96 =
  27. 27.HCF of 252 and 266 =
  28. 28.HCF of 81 and 144 =
  29. 29.HCF of 256 and 48 =
  30. 30.HCF of 162 and 63 =
  31. 31.HCF of 98 and 77 =
  32. 32.HCF of 35 and 126 =
  33. 33.HCF of 170 and 221 =
  34. 34.HCF of 51 and 119 =
  35. 35.HCF of 27 and 126 =
  36. 36.HCF of 170 and 200 =
  37. 37.HCF of 128 and 304 =
  38. 38.HCF of 119 and 153 =
  39. 39.HCF of 16 and 22 =
  40. 40.HCF of 120 and 70 =

Answer key

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

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