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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 189 · 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 56 and 36 =
  2. 2.HCF of 288 and 408 =
  3. 3.HCF of 6 and 40 =
  4. 4.HCF of 21 and 98 =
  5. 5.HCF of 81 and 18 =
  6. 6.HCF of 44 and 55 =
  7. 7.HCF of 81 and 63 =
  8. 8.HCF of 63 and 42 =
  9. 9.HCF of 27 and 57 =
  10. 10.HCF of 260 and 91 =
  11. 11.HCF of 16 and 6 =
  12. 12.HCF of 90 and 324 =
  13. 13.HCF of 143 and 33 =
  14. 14.HCF of 135 and 117 =
  15. 15.HCF of 90 and 96 =
  16. 16.HCF of 114 and 108 =
  17. 17.HCF of 126 and 144 =
  18. 18.HCF of 48 and 216 =
  19. 19.HCF of 408 and 288 =
  20. 20.HCF of 238 and 56 =
  21. 21.HCF of 36 and 63 =
  22. 22.HCF of 264 and 110 =
  23. 23.HCF of 154 and 84 =
  24. 24.HCF of 30 and 36 =
  25. 25.HCF of 289 and 85 =
  26. 26.HCF of 200 and 125 =
  27. 27.HCF of 36 and 14 =
  28. 28.HCF of 88 and 72 =
  29. 29.HCF of 198 and 108 =
  30. 30.HCF of 21 and 33 =
  31. 31.HCF of 42 and 77 =
  32. 32.HCF of 165 and 75 =
  33. 33.HCF of 216 and 120 =
  34. 34.HCF of 221 and 119 =
  35. 35.HCF of 32 and 52 =
  36. 36.HCF of 128 and 56 =
  37. 37.HCF of 66 and 48 =
  38. 38.HCF of 6 and 51 =
  39. 39.HCF of 10 and 25 =
  40. 40.HCF of 64 and 208 =

Answer key

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

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