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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 275 · 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 10 and 22 =
  2. 2.HCF of 12 and 26 =
  3. 3.HCF of 38 and 171 =
  4. 4.HCF of 150 and 170 =
  5. 5.HCF of 153 and 144 =
  6. 6.HCF of 165 and 225 =
  7. 7.HCF of 299 and 138 =
  8. 8.HCF of 45 and 27 =
  9. 9.HCF of 10 and 24 =
  10. 10.HCF of 54 and 342 =
  11. 11.HCF of 51 and 48 =
  12. 12.HCF of 357 and 420 =
  13. 13.HCF of 143 and 65 =
  14. 14.HCF of 30 and 28 =
  15. 15.HCF of 6 and 10 =
  16. 16.HCF of 18 and 42 =
  17. 17.HCF of 42 and 48 =
  18. 18.HCF of 143 and 110 =
  19. 19.HCF of 51 and 30 =
  20. 20.HCF of 95 and 57 =
  21. 21.HCF of 60 and 200 =
  22. 22.HCF of 98 and 280 =
  23. 23.HCF of 10 and 85 =
  24. 24.HCF of 162 and 45 =
  25. 25.HCF of 32 and 208 =
  26. 26.HCF of 78 and 72 =
  27. 27.HCF of 168 and 108 =
  28. 28.HCF of 160 and 56 =
  29. 29.HCF of 96 and 104 =
  30. 30.HCF of 76 and 56 =
  31. 31.HCF of 39 and 91 =
  32. 32.HCF of 90 and 75 =
  33. 33.HCF of 119 and 34 =
  34. 34.HCF of 221 and 169 =
  35. 35.HCF of 230 and 391 =
  36. 36.HCF of 162 and 252 =
  37. 37.HCF of 84 and 77 =
  38. 38.HCF of 209 and 198 =
  39. 39.HCF of 38 and 22 =
  40. 40.HCF of 45 and 51 =

Answer key

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

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