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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 351 · 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 35 and 15 =
  2. 2.HCF of 100 and 240 =
  3. 3.HCF of 44 and 286 =
  4. 4.HCF of 160 and 260 =
  5. 5.HCF of 105 and 45 =
  6. 6.HCF of 144 and 198 =
  7. 7.HCF of 270 and 252 =
  8. 8.HCF of 110 and 143 =
  9. 9.HCF of 26 and 39 =
  10. 10.HCF of 63 and 54 =
  11. 11.HCF of 234 and 91 =
  12. 12.HCF of 240 and 168 =
  13. 13.HCF of 30 and 33 =
  14. 14.HCF of 114 and 78 =
  15. 15.HCF of 143 and 88 =
  16. 16.HCF of 40 and 16 =
  17. 17.HCF of 255 and 135 =
  18. 18.HCF of 253 and 46 =
  19. 19.HCF of 266 and 238 =
  20. 20.HCF of 120 and 432 =
  21. 21.HCF of 42 and 36 =
  22. 22.HCF of 21 and 9 =
  23. 23.HCF of 325 and 225 =
  24. 24.HCF of 44 and 66 =
  25. 25.HCF of 273 and 420 =
  26. 26.HCF of 247 and 52 =
  27. 27.HCF of 12 and 27 =
  28. 28.HCF of 360 and 408 =
  29. 29.HCF of 51 and 68 =
  30. 30.HCF of 220 and 242 =
  31. 31.HCF of 255 and 238 =
  32. 32.HCF of 42 and 66 =
  33. 33.HCF of 15 and 33 =
  34. 34.HCF of 30 and 114 =
  35. 35.HCF of 120 and 66 =
  36. 36.HCF of 75 and 35 =
  37. 37.HCF of 170 and 110 =
  38. 38.HCF of 288 and 234 =
  39. 39.HCF of 270 and 144 =
  40. 40.HCF of 175 and 400 =

Answer key

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

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