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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 660 · 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 400 and 375 =
  2. 2.HCF of 66 and 418 =
  3. 3.HCF of 425 and 125 =
  4. 4.HCF of 198 and 55 =
  5. 5.HCF of 49 and 77 =
  6. 6.HCF of 143 and 26 =
  7. 7.HCF of 72 and 42 =
  8. 8.HCF of 130 and 20 =
  9. 9.HCF of 54 and 153 =
  10. 10.HCF of 414 and 161 =
  11. 11.HCF of 28 and 238 =
  12. 12.HCF of 96 and 120 =
  13. 13.HCF of 20 and 18 =
  14. 14.HCF of 64 and 44 =
  15. 15.HCF of 252 and 238 =
  16. 16.HCF of 84 and 273 =
  17. 17.HCF of 126 and 98 =
  18. 18.HCF of 104 and 88 =
  19. 19.HCF of 33 and 51 =
  20. 20.HCF of 150 and 160 =
  21. 21.HCF of 65 and 75 =
  22. 22.HCF of 152 and 16 =
  23. 23.HCF of 36 and 68 =
  24. 24.HCF of 77 and 28 =
  25. 25.HCF of 68 and 221 =
  26. 26.HCF of 51 and 45 =
  27. 27.HCF of 15 and 65 =
  28. 28.HCF of 14 and 32 =
  29. 29.HCF of 10 and 25 =
  30. 30.HCF of 162 and 144 =
  31. 31.HCF of 72 and 306 =
  32. 32.HCF of 34 and 20 =
  33. 33.HCF of 36 and 42 =
  34. 34.HCF of 24 and 90 =
  35. 35.HCF of 33 and 36 =
  36. 36.HCF of 299 and 207 =
  37. 37.HCF of 184 and 69 =
  38. 38.HCF of 18 and 40 =
  39. 39.HCF of 64 and 44 =
  40. 40.HCF of 14 and 4 =

Answer key

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

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