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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 385 · 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 30 and 130 =
  2. 2.HCF of 175 and 300 =
  3. 3.HCF of 144 and 208 =
  4. 4.HCF of 22 and 30 =
  5. 5.HCF of 85 and 204 =
  6. 6.HCF of 102 and 114 =
  7. 7.HCF of 112 and 105 =
  8. 8.HCF of 228 and 144 =
  9. 9.HCF of 100 and 140 =
  10. 10.HCF of 420 and 399 =
  11. 11.HCF of 161 and 46 =
  12. 12.HCF of 289 and 340 =
  13. 13.HCF of 30 and 54 =
  14. 14.HCF of 140 and 90 =
  15. 15.HCF of 130 and 80 =
  16. 16.HCF of 200 and 380 =
  17. 17.HCF of 63 and 231 =
  18. 18.HCF of 55 and 70 =
  19. 19.HCF of 80 and 96 =
  20. 20.HCF of 120 and 75 =
  21. 21.HCF of 135 and 36 =
  22. 22.HCF of 77 and 165 =
  23. 23.HCF of 104 and 117 =
  24. 24.HCF of 68 and 187 =
  25. 25.HCF of 66 and 48 =
  26. 26.HCF of 60 and 165 =
  27. 27.HCF of 210 and 98 =
  28. 28.HCF of 256 and 48 =
  29. 29.HCF of 133 and 84 =
  30. 30.HCF of 51 and 45 =
  31. 31.HCF of 45 and 75 =
  32. 32.HCF of 75 and 400 =
  33. 33.HCF of 22 and 26 =
  34. 34.HCF of 39 and 26 =
  35. 35.HCF of 323 and 209 =
  36. 36.HCF of 57 and 24 =
  37. 37.HCF of 187 and 136 =
  38. 38.HCF of 20 and 48 =
  39. 39.HCF of 32 and 38 =
  40. 40.HCF of 84 and 48 =

Answer key

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

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