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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 365 · 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 216 and 408 =
  2. 2.HCF of 336 and 357 =
  3. 3.HCF of 425 and 375 =
  4. 4.HCF of 63 and 147 =
  5. 5.HCF of 125 and 275 =
  6. 6.HCF of 169 and 91 =
  7. 7.HCF of 196 and 126 =
  8. 8.HCF of 143 and 121 =
  9. 9.HCF of 65 and 20 =
  10. 10.HCF of 90 and 81 =
  11. 11.HCF of 76 and 323 =
  12. 12.HCF of 30 and 9 =
  13. 13.HCF of 51 and 272 =
  14. 14.HCF of 132 and 96 =
  15. 15.HCF of 78 and 169 =
  16. 16.HCF of 352 and 242 =
  17. 17.HCF of 39 and 12 =
  18. 18.HCF of 30 and 40 =
  19. 19.HCF of 77 and 22 =
  20. 20.HCF of 76 and 323 =
  21. 21.HCF of 150 and 475 =
  22. 22.HCF of 171 and 323 =
  23. 23.HCF of 242 and 88 =
  24. 24.HCF of 345 and 368 =
  25. 25.HCF of 161 and 46 =
  26. 26.HCF of 65 and 143 =
  27. 27.HCF of 52 and 76 =
  28. 28.HCF of 88 and 72 =
  29. 29.HCF of 153 and 18 =
  30. 30.HCF of 80 and 25 =
  31. 31.HCF of 240 and 132 =
  32. 32.HCF of 85 and 10 =
  33. 33.HCF of 27 and 42 =
  34. 34.HCF of 100 and 170 =
  35. 35.HCF of 8 and 38 =
  36. 36.HCF of 52 and 80 =
  37. 37.HCF of 35 and 56 =
  38. 38.HCF of 273 and 336 =
  39. 39.HCF of 120 and 128 =
  40. 40.HCF of 75 and 10 =

Answer key

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

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