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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 197 · 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 12 and 102 =
  2. 2.HCF of 10 and 95 =
  3. 3.HCF of 55 and 209 =
  4. 4.HCF of 84 and 60 =
  5. 5.HCF of 90 and 35 =
  6. 6.HCF of 18 and 60 =
  7. 7.HCF of 45 and 153 =
  8. 8.HCF of 322 and 69 =
  9. 9.HCF of 48 and 114 =
  10. 10.HCF of 418 and 374 =
  11. 11.HCF of 500 and 425 =
  12. 12.HCF of 40 and 340 =
  13. 13.HCF of 27 and 51 =
  14. 14.HCF of 64 and 24 =
  15. 15.HCF of 35 and 60 =
  16. 16.HCF of 51 and 42 =
  17. 17.HCF of 35 and 30 =
  18. 18.HCF of 28 and 42 =
  19. 19.HCF of 198 and 352 =
  20. 20.HCF of 140 and 240 =
  21. 21.HCF of 18 and 51 =
  22. 22.HCF of 375 and 350 =
  23. 23.HCF of 100 and 425 =
  24. 24.HCF of 30 and 48 =
  25. 25.HCF of 119 and 42 =
  26. 26.HCF of 85 and 45 =
  27. 27.HCF of 45 and 39 =
  28. 28.HCF of 165 and 180 =
  29. 29.HCF of 130 and 110 =
  30. 30.HCF of 132 and 48 =
  31. 31.HCF of 84 and 154 =
  32. 32.HCF of 280 and 180 =
  33. 33.HCF of 209 and 171 =
  34. 34.HCF of 182 and 56 =
  35. 35.HCF of 8 and 44 =
  36. 36.HCF of 9 and 57 =
  37. 37.HCF of 36 and 20 =
  38. 38.HCF of 136 and 56 =
  39. 39.HCF of 240 and 72 =
  40. 40.HCF of 14 and 38 =

Answer key

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

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