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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 810 · 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 18 and 33 =
  2. 2.HCF of 34 and 289 =
  3. 3.HCF of 18 and 16 =
  4. 4.HCF of 46 and 69 =
  5. 5.HCF of 44 and 48 =
  6. 6.HCF of 91 and 77 =
  7. 7.HCF of 105 and 399 =
  8. 8.HCF of 220 and 180 =
  9. 9.HCF of 150 and 285 =
  10. 10.HCF of 32 and 104 =
  11. 11.HCF of 20 and 190 =
  12. 12.HCF of 68 and 28 =
  13. 13.HCF of 289 and 85 =
  14. 14.HCF of 160 and 50 =
  15. 15.HCF of 342 and 90 =
  16. 16.HCF of 140 and 380 =
  17. 17.HCF of 105 and 294 =
  18. 18.HCF of 437 and 92 =
  19. 19.HCF of 500 and 325 =
  20. 20.HCF of 115 and 391 =
  21. 21.HCF of 18 and 78 =
  22. 22.HCF of 24 and 68 =
  23. 23.HCF of 26 and 36 =
  24. 24.HCF of 187 and 44 =
  25. 25.HCF of 133 and 126 =
  26. 26.HCF of 84 and 238 =
  27. 27.HCF of 42 and 102 =
  28. 28.HCF of 57 and 190 =
  29. 29.HCF of 40 and 55 =
  30. 30.HCF of 195 and 60 =
  31. 31.HCF of 52 and 91 =
  32. 32.HCF of 10 and 26 =
  33. 33.HCF of 140 and 91 =
  34. 34.HCF of 15 and 100 =
  35. 35.HCF of 25 and 65 =
  36. 36.HCF of 33 and 187 =
  37. 37.HCF of 209 and 165 =
  38. 38.HCF of 20 and 65 =
  39. 39.HCF of 161 and 138 =
  40. 40.HCF of 96 and 132 =

Answer key

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

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