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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 709 · 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 72 and 81 =
  2. 2.HCF of 342 and 162 =
  3. 3.HCF of 336 and 399 =
  4. 4.HCF of 55 and 66 =
  5. 5.HCF of 209 and 38 =
  6. 6.HCF of 171 and 133 =
  7. 7.HCF of 209 and 66 =
  8. 8.HCF of 175 and 300 =
  9. 9.HCF of 105 and 42 =
  10. 10.HCF of 77 and 132 =
  11. 11.HCF of 76 and 20 =
  12. 12.HCF of 95 and 10 =
  13. 13.HCF of 49 and 112 =
  14. 14.HCF of 125 and 425 =
  15. 15.HCF of 70 and 60 =
  16. 16.HCF of 374 and 264 =
  17. 17.HCF of 24 and 44 =
  18. 18.HCF of 10 and 38 =
  19. 19.HCF of 140 and 220 =
  20. 20.HCF of 70 and 77 =
  21. 21.HCF of 133 and 35 =
  22. 22.HCF of 399 and 84 =
  23. 23.HCF of 27 and 63 =
  24. 24.HCF of 357 and 168 =
  25. 25.HCF of 34 and 187 =
  26. 26.HCF of 120 and 136 =
  27. 27.HCF of 20 and 50 =
  28. 28.HCF of 70 and 20 =
  29. 29.HCF of 91 and 98 =
  30. 30.HCF of 153 and 36 =
  31. 31.HCF of 221 and 39 =
  32. 32.HCF of 143 and 55 =
  33. 33.HCF of 126 and 77 =
  34. 34.HCF of 210 and 56 =
  35. 35.HCF of 204 and 119 =
  36. 36.HCF of 152 and 24 =
  37. 37.HCF of 28 and 12 =
  38. 38.HCF of 66 and 110 =
  39. 39.HCF of 156 and 60 =
  40. 40.HCF of 12 and 15 =

Answer key

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

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