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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 121 · 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 50 and 40 =
  2. 2.HCF of 500 and 275 =
  3. 3.HCF of 38 and 30 =
  4. 4.HCF of 40 and 100 =
  5. 5.HCF of 108 and 114 =
  6. 6.HCF of 342 and 209 =
  7. 7.HCF of 323 and 114 =
  8. 8.HCF of 420 and 189 =
  9. 9.HCF of 14 and 133 =
  10. 10.HCF of 200 and 130 =
  11. 11.HCF of 20 and 6 =
  12. 12.HCF of 88 and 99 =
  13. 13.HCF of 48 and 216 =
  14. 14.HCF of 18 and 12 =
  15. 15.HCF of 40 and 75 =
  16. 16.HCF of 209 and 77 =
  17. 17.HCF of 16 and 68 =
  18. 18.HCF of 18 and 33 =
  19. 19.HCF of 192 and 60 =
  20. 20.HCF of 63 and 420 =
  21. 21.HCF of 45 and 60 =
  22. 22.HCF of 70 and 42 =
  23. 23.HCF of 136 and 56 =
  24. 24.HCF of 66 and 77 =
  25. 25.HCF of 12 and 57 =
  26. 26.HCF of 375 and 350 =
  27. 27.HCF of 189 and 336 =
  28. 28.HCF of 180 and 380 =
  29. 29.HCF of 143 and 52 =
  30. 30.HCF of 15 and 21 =
  31. 31.HCF of 104 and 48 =
  32. 32.HCF of 78 and 24 =
  33. 33.HCF of 195 and 30 =
  34. 34.HCF of 119 and 140 =
  35. 35.HCF of 104 and 195 =
  36. 36.HCF of 33 and 45 =
  37. 37.HCF of 90 and 84 =
  38. 38.HCF of 154 and 55 =
  39. 39.HCF of 312 and 336 =
  40. 40.HCF of 240 and 408 =

Answer key

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

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