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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 278 · 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 180 and 132 =
  2. 2.HCF of 285 and 30 =
  3. 3.HCF of 10 and 4 =
  4. 4.HCF of 34 and 22 =
  5. 5.HCF of 90 and 66 =
  6. 6.HCF of 36 and 156 =
  7. 7.HCF of 209 and 38 =
  8. 8.HCF of 48 and 156 =
  9. 9.HCF of 55 and 20 =
  10. 10.HCF of 85 and 50 =
  11. 11.HCF of 66 and 88 =
  12. 12.HCF of 56 and 40 =
  13. 13.HCF of 224 and 98 =
  14. 14.HCF of 28 and 133 =
  15. 15.HCF of 224 and 304 =
  16. 16.HCF of 9 and 48 =
  17. 17.HCF of 68 and 72 =
  18. 18.HCF of 286 and 110 =
  19. 19.HCF of 120 and 75 =
  20. 20.HCF of 144 and 132 =
  21. 21.HCF of 28 and 21 =
  22. 22.HCF of 143 and 182 =
  23. 23.HCF of 51 and 33 =
  24. 24.HCF of 15 and 65 =
  25. 25.HCF of 121 and 209 =
  26. 26.HCF of 176 and 160 =
  27. 27.HCF of 144 and 270 =
  28. 28.HCF of 40 and 25 =
  29. 29.HCF of 76 and 32 =
  30. 30.HCF of 30 and 39 =
  31. 31.HCF of 207 and 115 =
  32. 32.HCF of 81 and 126 =
  33. 33.HCF of 200 and 325 =
  34. 34.HCF of 125 and 175 =
  35. 35.HCF of 38 and 20 =
  36. 36.HCF of 190 and 130 =
  37. 37.HCF of 104 and 88 =
  38. 38.HCF of 20 and 50 =
  39. 39.HCF of 77 and 63 =
  40. 40.HCF of 190 and 20 =

Answer key

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

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