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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 643 · 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 72 =
  2. 2.HCF of 126 and 224 =
  3. 3.HCF of 312 and 456 =
  4. 4.HCF of 92 and 69 =
  5. 5.HCF of 65 and 85 =
  6. 6.HCF of 20 and 12 =
  7. 7.HCF of 336 and 264 =
  8. 8.HCF of 75 and 135 =
  9. 9.HCF of 299 and 92 =
  10. 10.HCF of 28 and 26 =
  11. 11.HCF of 238 and 289 =
  12. 12.HCF of 225 and 285 =
  13. 13.HCF of 138 and 253 =
  14. 14.HCF of 400 and 180 =
  15. 15.HCF of 133 and 49 =
  16. 16.HCF of 45 and 80 =
  17. 17.HCF of 16 and 14 =
  18. 18.HCF of 36 and 44 =
  19. 19.HCF of 88 and 56 =
  20. 20.HCF of 330 and 176 =
  21. 21.HCF of 66 and 24 =
  22. 22.HCF of 176 and 110 =
  23. 23.HCF of 21 and 51 =
  24. 24.HCF of 48 and 456 =
  25. 25.HCF of 128 and 104 =
  26. 26.HCF of 153 and 34 =
  27. 27.HCF of 48 and 68 =
  28. 28.HCF of 126 and 72 =
  29. 29.HCF of 336 and 456 =
  30. 30.HCF of 38 and 171 =
  31. 31.HCF of 91 and 39 =
  32. 32.HCF of 110 and 132 =
  33. 33.HCF of 152 and 112 =
  34. 34.HCF of 192 and 132 =
  35. 35.HCF of 255 and 165 =
  36. 36.HCF of 51 and 221 =
  37. 37.HCF of 57 and 323 =
  38. 38.HCF of 54 and 126 =
  39. 39.HCF of 280 and 98 =
  40. 40.HCF of 180 and 40 =

Answer key

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

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