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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 636 · 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 48 and 21 =
  2. 2.HCF of 65 and 75 =
  3. 3.HCF of 70 and 154 =
  4. 4.HCF of 154 and 110 =
  5. 5.HCF of 456 and 408 =
  6. 6.HCF of 88 and 209 =
  7. 7.HCF of 256 and 80 =
  8. 8.HCF of 198 and 121 =
  9. 9.HCF of 152 and 247 =
  10. 10.HCF of 418 and 352 =
  11. 11.HCF of 66 and 110 =
  12. 12.HCF of 45 and 144 =
  13. 13.HCF of 45 and 150 =
  14. 14.HCF of 187 and 99 =
  15. 15.HCF of 275 and 300 =
  16. 16.HCF of 273 and 147 =
  17. 17.HCF of 210 and 196 =
  18. 18.HCF of 57 and 9 =
  19. 19.HCF of 336 and 147 =
  20. 20.HCF of 6 and 34 =
  21. 21.HCF of 210 and 135 =
  22. 22.HCF of 32 and 24 =
  23. 23.HCF of 12 and 27 =
  24. 24.HCF of 28 and 60 =
  25. 25.HCF of 40 and 60 =
  26. 26.HCF of 220 and 99 =
  27. 27.HCF of 288 and 176 =
  28. 28.HCF of 221 and 136 =
  29. 29.HCF of 40 and 60 =
  30. 30.HCF of 198 and 143 =
  31. 31.HCF of 20 and 65 =
  32. 32.HCF of 55 and 143 =
  33. 33.HCF of 54 and 180 =
  34. 34.HCF of 84 and 240 =
  35. 35.HCF of 16 and 52 =
  36. 36.HCF of 240 and 312 =
  37. 37.HCF of 36 and 171 =
  38. 38.HCF of 90 and 25 =
  39. 39.HCF of 240 and 195 =
  40. 40.HCF of 70 and 133 =

Answer key

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

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