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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 637 · 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 150 and 20 =
  2. 2.HCF of 108 and 96 =
  3. 3.HCF of 54 and 72 =
  4. 4.HCF of 221 and 117 =
  5. 5.HCF of 57 and 30 =
  6. 6.HCF of 28 and 26 =
  7. 7.HCF of 57 and 380 =
  8. 8.HCF of 36 and 156 =
  9. 9.HCF of 266 and 168 =
  10. 10.HCF of 18 and 81 =
  11. 11.HCF of 72 and 156 =
  12. 12.HCF of 18 and 14 =
  13. 13.HCF of 273 and 315 =
  14. 14.HCF of 117 and 171 =
  15. 15.HCF of 75 and 80 =
  16. 16.HCF of 117 and 26 =
  17. 17.HCF of 10 and 6 =
  18. 18.HCF of 42 and 27 =
  19. 19.HCF of 352 and 242 =
  20. 20.HCF of 238 and 221 =
  21. 21.HCF of 300 and 125 =
  22. 22.HCF of 171 and 380 =
  23. 23.HCF of 126 and 357 =
  24. 24.HCF of 324 and 126 =
  25. 25.HCF of 198 and 220 =
  26. 26.HCF of 76 and 361 =
  27. 27.HCF of 209 and 190 =
  28. 28.HCF of 228 and 95 =
  29. 29.HCF of 260 and 220 =
  30. 30.HCF of 16 and 38 =
  31. 31.HCF of 20 and 34 =
  32. 32.HCF of 20 and 34 =
  33. 33.HCF of 253 and 69 =
  34. 34.HCF of 12 and 33 =
  35. 35.HCF of 250 and 225 =
  36. 36.HCF of 195 and 90 =
  37. 37.HCF of 175 and 225 =
  38. 38.HCF of 120 and 456 =
  39. 39.HCF of 84 and 154 =
  40. 40.HCF of 95 and 75 =

Answer key

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

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