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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 799 · 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 46 and 69 =
  2. 2.HCF of 475 and 450 =
  3. 3.HCF of 69 and 253 =
  4. 4.HCF of 204 and 84 =
  5. 5.HCF of 391 and 69 =
  6. 6.HCF of 120 and 140 =
  7. 7.HCF of 80 and 220 =
  8. 8.HCF of 140 and 320 =
  9. 9.HCF of 72 and 90 =
  10. 10.HCF of 26 and 16 =
  11. 11.HCF of 126 and 306 =
  12. 12.HCF of 288 and 270 =
  13. 13.HCF of 33 and 110 =
  14. 14.HCF of 35 and 25 =
  15. 15.HCF of 357 and 42 =
  16. 16.HCF of 95 and 38 =
  17. 17.HCF of 80 and 15 =
  18. 18.HCF of 42 and 96 =
  19. 19.HCF of 112 and 154 =
  20. 20.HCF of 180 and 84 =
  21. 21.HCF of 456 and 480 =
  22. 22.HCF of 152 and 80 =
  23. 23.HCF of 95 and 57 =
  24. 24.HCF of 189 and 147 =
  25. 25.HCF of 54 and 36 =
  26. 26.HCF of 16 and 60 =
  27. 27.HCF of 28 and 52 =
  28. 28.HCF of 204 and 132 =
  29. 29.HCF of 260 and 140 =
  30. 30.HCF of 18 and 33 =
  31. 31.HCF of 42 and 28 =
  32. 32.HCF of 91 and 105 =
  33. 33.HCF of 480 and 72 =
  34. 34.HCF of 75 and 165 =
  35. 35.HCF of 100 and 225 =
  36. 36.HCF of 65 and 25 =
  37. 37.HCF of 70 and 266 =
  38. 38.HCF of 154 and 121 =
  39. 39.HCF of 98 and 70 =
  40. 40.HCF of 24 and 20 =

Answer key

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

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