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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 142 · 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 54 and 45 =
  2. 2.HCF of 154 and 418 =
  3. 3.HCF of 234 and 126 =
  4. 4.HCF of 30 and 42 =
  5. 5.HCF of 198 and 270 =
  6. 6.HCF of 57 and 27 =
  7. 7.HCF of 50 and 85 =
  8. 8.HCF of 144 and 160 =
  9. 9.HCF of 299 and 276 =
  10. 10.HCF of 288 and 112 =
  11. 11.HCF of 437 and 276 =
  12. 12.HCF of 50 and 30 =
  13. 13.HCF of 32 and 6 =
  14. 14.HCF of 242 and 154 =
  15. 15.HCF of 54 and 45 =
  16. 16.HCF of 28 and 98 =
  17. 17.HCF of 65 and 85 =
  18. 18.HCF of 408 and 456 =
  19. 19.HCF of 68 and 8 =
  20. 20.HCF of 105 and 14 =
  21. 21.HCF of 154 and 70 =
  22. 22.HCF of 48 and 32 =
  23. 23.HCF of 288 and 312 =
  24. 24.HCF of 95 and 30 =
  25. 25.HCF of 180 and 198 =
  26. 26.HCF of 27 and 42 =
  27. 27.HCF of 195 and 221 =
  28. 28.HCF of 91 and 221 =
  29. 29.HCF of 117 and 144 =
  30. 30.HCF of 240 and 228 =
  31. 31.HCF of 323 and 361 =
  32. 32.HCF of 187 and 44 =
  33. 33.HCF of 60 and 68 =
  34. 34.HCF of 40 and 112 =
  35. 35.HCF of 90 and 324 =
  36. 36.HCF of 22 and 40 =
  37. 37.HCF of 168 and 70 =
  38. 38.HCF of 105 and 60 =
  39. 39.HCF of 26 and 22 =
  40. 40.HCF of 152 and 285 =

Answer key

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

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