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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 605 · 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 90 and 324 =
  2. 2.HCF of 60 and 195 =
  3. 3.HCF of 190 and 40 =
  4. 4.HCF of 140 and 220 =
  5. 5.HCF of 414 and 253 =
  6. 6.HCF of 234 and 288 =
  7. 7.HCF of 33 and 30 =
  8. 8.HCF of 66 and 418 =
  9. 9.HCF of 105 and 30 =
  10. 10.HCF of 105 and 49 =
  11. 11.HCF of 119 and 170 =
  12. 12.HCF of 68 and 40 =
  13. 13.HCF of 182 and 221 =
  14. 14.HCF of 14 and 16 =
  15. 15.HCF of 90 and 306 =
  16. 16.HCF of 40 and 35 =
  17. 17.HCF of 40 and 48 =
  18. 18.HCF of 247 and 182 =
  19. 19.HCF of 39 and 26 =
  20. 20.HCF of 108 and 114 =
  21. 21.HCF of 437 and 460 =
  22. 22.HCF of 78 and 18 =
  23. 23.HCF of 98 and 126 =
  24. 24.HCF of 80 and 35 =
  25. 25.HCF of 224 and 238 =
  26. 26.HCF of 324 and 198 =
  27. 27.HCF of 225 and 195 =
  28. 28.HCF of 45 and 12 =
  29. 29.HCF of 80 and 96 =
  30. 30.HCF of 55 and 209 =
  31. 31.HCF of 42 and 33 =
  32. 32.HCF of 35 and 126 =
  33. 33.HCF of 399 and 315 =
  34. 34.HCF of 399 and 63 =
  35. 35.HCF of 336 and 264 =
  36. 36.HCF of 30 and 285 =
  37. 37.HCF of 143 and 52 =
  38. 38.HCF of 54 and 171 =
  39. 39.HCF of 144 and 162 =
  40. 40.HCF of 133 and 42 =

Answer key

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

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