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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 154 · 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 108 and 234 =
  2. 2.HCF of 225 and 250 =
  3. 3.HCF of 119 and 98 =
  4. 4.HCF of 220 and 418 =
  5. 5.HCF of 75 and 325 =
  6. 6.HCF of 6 and 57 =
  7. 7.HCF of 16 and 30 =
  8. 8.HCF of 272 and 51 =
  9. 9.HCF of 391 and 92 =
  10. 10.HCF of 88 and 160 =
  11. 11.HCF of 72 and 480 =
  12. 12.HCF of 162 and 288 =
  13. 13.HCF of 40 and 15 =
  14. 14.HCF of 32 and 136 =
  15. 15.HCF of 475 and 250 =
  16. 16.HCF of 30 and 45 =
  17. 17.HCF of 198 and 72 =
  18. 18.HCF of 195 and 120 =
  19. 19.HCF of 85 and 323 =
  20. 20.HCF of 88 and 64 =
  21. 21.HCF of 50 and 75 =
  22. 22.HCF of 299 and 345 =
  23. 23.HCF of 70 and 40 =
  24. 24.HCF of 150 and 160 =
  25. 25.HCF of 306 and 162 =
  26. 26.HCF of 84 and 105 =
  27. 27.HCF of 36 and 48 =
  28. 28.HCF of 60 and 220 =
  29. 29.HCF of 175 and 425 =
  30. 30.HCF of 51 and 9 =
  31. 31.HCF of 46 and 437 =
  32. 32.HCF of 210 and 273 =
  33. 33.HCF of 180 and 320 =
  34. 34.HCF of 9 and 42 =
  35. 35.HCF of 34 and 85 =
  36. 36.HCF of 120 and 144 =
  37. 37.HCF of 105 and 357 =
  38. 38.HCF of 187 and 34 =
  39. 39.HCF of 38 and 40 =
  40. 40.HCF of 168 and 144 =

Answer key

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

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