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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 80 · 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 60 and 228 =
  2. 2.HCF of 75 and 195 =
  3. 3.HCF of 95 and 304 =
  4. 4.HCF of 95 and 15 =
  5. 5.HCF of 247 and 143 =
  6. 6.HCF of 170 and 153 =
  7. 7.HCF of 32 and 26 =
  8. 8.HCF of 30 and 190 =
  9. 9.HCF of 60 and 27 =
  10. 10.HCF of 130 and 170 =
  11. 11.HCF of 255 and 135 =
  12. 12.HCF of 80 and 35 =
  13. 13.HCF of 152 and 16 =
  14. 14.HCF of 190 and 40 =
  15. 15.HCF of 25 and 80 =
  16. 16.HCF of 300 and 285 =
  17. 17.HCF of 119 and 102 =
  18. 18.HCF of 253 and 460 =
  19. 19.HCF of 48 and 136 =
  20. 20.HCF of 252 and 234 =
  21. 21.HCF of 48 and 30 =
  22. 22.HCF of 44 and 110 =
  23. 23.HCF of 140 and 42 =
  24. 24.HCF of 85 and 60 =
  25. 25.HCF of 374 and 154 =
  26. 26.HCF of 286 and 66 =
  27. 27.HCF of 342 and 133 =
  28. 28.HCF of 375 and 325 =
  29. 29.HCF of 171 and 144 =
  30. 30.HCF of 28 and 21 =
  31. 31.HCF of 380 and 133 =
  32. 32.HCF of 165 and 22 =
  33. 33.HCF of 69 and 230 =
  34. 34.HCF of 456 and 216 =
  35. 35.HCF of 88 and 40 =
  36. 36.HCF of 35 and 77 =
  37. 37.HCF of 78 and 72 =
  38. 38.HCF of 437 and 69 =
  39. 39.HCF of 450 and 175 =
  40. 40.HCF of 15 and 9 =

Answer key

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

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