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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 558 · 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 15 and 20 =
  2. 2.HCF of 56 and 70 =
  3. 3.HCF of 242 and 418 =
  4. 4.HCF of 28 and 26 =
  5. 5.HCF of 264 and 216 =
  6. 6.HCF of 70 and 90 =
  7. 7.HCF of 44 and 8 =
  8. 8.HCF of 30 and 14 =
  9. 9.HCF of 120 and 260 =
  10. 10.HCF of 209 and 247 =
  11. 11.HCF of 51 and 12 =
  12. 12.HCF of 44 and 48 =
  13. 13.HCF of 168 and 357 =
  14. 14.HCF of 72 and 408 =
  15. 15.HCF of 121 and 165 =
  16. 16.HCF of 176 and 143 =
  17. 17.HCF of 49 and 21 =
  18. 18.HCF of 126 and 147 =
  19. 19.HCF of 112 and 96 =
  20. 20.HCF of 90 and 144 =
  21. 21.HCF of 234 and 342 =
  22. 22.HCF of 384 and 72 =
  23. 23.HCF of 95 and 76 =
  24. 24.HCF of 115 and 161 =
  25. 25.HCF of 54 and 234 =
  26. 26.HCF of 153 and 54 =
  27. 27.HCF of 26 and 30 =
  28. 28.HCF of 60 and 75 =
  29. 29.HCF of 432 and 408 =
  30. 30.HCF of 18 and 120 =
  31. 31.HCF of 220 and 360 =
  32. 32.HCF of 12 and 22 =
  33. 33.HCF of 38 and 247 =
  34. 34.HCF of 99 and 171 =
  35. 35.HCF of 176 and 144 =
  36. 36.HCF of 52 and 8 =
  37. 37.HCF of 288 and 270 =
  38. 38.HCF of 144 and 304 =
  39. 39.HCF of 110 and 160 =
  40. 40.HCF of 475 and 400 =

Answer key

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

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