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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 673 · 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 460 and 437 =
  2. 2.HCF of 200 and 90 =
  3. 3.HCF of 24 and 16 =
  4. 4.HCF of 414 and 299 =
  5. 5.HCF of 147 and 252 =
  6. 6.HCF of 221 and 78 =
  7. 7.HCF of 51 and 36 =
  8. 8.HCF of 285 and 195 =
  9. 9.HCF of 81 and 90 =
  10. 10.HCF of 80 and 68 =
  11. 11.HCF of 400 and 425 =
  12. 12.HCF of 242 and 440 =
  13. 13.HCF of 304 and 95 =
  14. 14.HCF of 312 and 96 =
  15. 15.HCF of 60 and 170 =
  16. 16.HCF of 75 and 80 =
  17. 17.HCF of 40 and 6 =
  18. 18.HCF of 75 and 135 =
  19. 19.HCF of 18 and 60 =
  20. 20.HCF of 75 and 125 =
  21. 21.HCF of 323 and 238 =
  22. 22.HCF of 76 and 171 =
  23. 23.HCF of 272 and 320 =
  24. 24.HCF of 195 and 169 =
  25. 25.HCF of 231 and 378 =
  26. 26.HCF of 66 and 440 =
  27. 27.HCF of 46 and 345 =
  28. 28.HCF of 165 and 255 =
  29. 29.HCF of 182 and 65 =
  30. 30.HCF of 42 and 15 =
  31. 31.HCF of 75 and 275 =
  32. 32.HCF of 119 and 105 =
  33. 33.HCF of 76 and 72 =
  34. 34.HCF of 24 and 56 =
  35. 35.HCF of 99 and 209 =
  36. 36.HCF of 84 and 102 =
  37. 37.HCF of 42 and 24 =
  38. 38.HCF of 160 and 112 =
  39. 39.HCF of 156 and 84 =
  40. 40.HCF of 175 and 425 =

Answer key

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

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