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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 78 · 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 56 and 119 =
  2. 2.HCF of 253 and 69 =
  3. 3.HCF of 24 and 34 =
  4. 4.HCF of 28 and 210 =
  5. 5.HCF of 340 and 40 =
  6. 6.HCF of 30 and 32 =
  7. 7.HCF of 16 and 72 =
  8. 8.HCF of 180 and 80 =
  9. 9.HCF of 54 and 120 =
  10. 10.HCF of 20 and 24 =
  11. 11.HCF of 323 and 304 =
  12. 12.HCF of 96 and 56 =
  13. 13.HCF of 125 and 150 =
  14. 14.HCF of 36 and 52 =
  15. 15.HCF of 91 and 126 =
  16. 16.HCF of 30 and 170 =
  17. 17.HCF of 255 and 60 =
  18. 18.HCF of 132 and 286 =
  19. 19.HCF of 242 and 88 =
  20. 20.HCF of 170 and 180 =
  21. 21.HCF of 180 and 126 =
  22. 22.HCF of 304 and 176 =
  23. 23.HCF of 170 and 70 =
  24. 24.HCF of 26 and 14 =
  25. 25.HCF of 152 and 104 =
  26. 26.HCF of 36 and 28 =
  27. 27.HCF of 380 and 260 =
  28. 28.HCF of 125 and 325 =
  29. 29.HCF of 65 and 182 =
  30. 30.HCF of 100 and 80 =
  31. 31.HCF of 135 and 120 =
  32. 32.HCF of 46 and 115 =
  33. 33.HCF of 252 and 105 =
  34. 34.HCF of 99 and 180 =
  35. 35.HCF of 18 and 57 =
  36. 36.HCF of 48 and 76 =
  37. 37.HCF of 204 and 180 =
  38. 38.HCF of 56 and 76 =
  39. 39.HCF of 128 and 88 =
  40. 40.HCF of 80 and 95 =

Answer key

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

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