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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 428 · 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 60 and 260 =
  2. 2.HCF of 12 and 57 =
  3. 3.HCF of 35 and 85 =
  4. 4.HCF of 325 and 100 =
  5. 5.HCF of 50 and 130 =
  6. 6.HCF of 45 and 42 =
  7. 7.HCF of 180 and 200 =
  8. 8.HCF of 180 and 70 =
  9. 9.HCF of 250 and 225 =
  10. 10.HCF of 360 and 340 =
  11. 11.HCF of 323 and 289 =
  12. 12.HCF of 65 and 182 =
  13. 13.HCF of 133 and 91 =
  14. 14.HCF of 72 and 27 =
  15. 15.HCF of 216 and 132 =
  16. 16.HCF of 44 and 187 =
  17. 17.HCF of 66 and 77 =
  18. 18.HCF of 228 and 84 =
  19. 19.HCF of 154 and 110 =
  20. 20.HCF of 40 and 85 =
  21. 21.HCF of 52 and 72 =
  22. 22.HCF of 98 and 91 =
  23. 23.HCF of 247 and 130 =
  24. 24.HCF of 105 and 135 =
  25. 25.HCF of 45 and 6 =
  26. 26.HCF of 91 and 104 =
  27. 27.HCF of 112 and 98 =
  28. 28.HCF of 48 and 180 =
  29. 29.HCF of 52 and 143 =
  30. 30.HCF of 102 and 187 =
  31. 31.HCF of 108 and 198 =
  32. 32.HCF of 138 and 437 =
  33. 33.HCF of 55 and 66 =
  34. 34.HCF of 40 and 95 =
  35. 35.HCF of 147 and 126 =
  36. 36.HCF of 30 and 21 =
  37. 37.HCF of 36 and 102 =
  38. 38.HCF of 105 and 135 =
  39. 39.HCF of 260 and 120 =
  40. 40.HCF of 20 and 70 =

Answer key

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

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