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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 67 · 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 280 and 380 =
  2. 2.HCF of 171 and 209 =
  3. 3.HCF of 85 and 55 =
  4. 4.HCF of 220 and 33 =
  5. 5.HCF of 175 and 200 =
  6. 6.HCF of 105 and 84 =
  7. 7.HCF of 120 and 108 =
  8. 8.HCF of 25 and 30 =
  9. 9.HCF of 72 and 156 =
  10. 10.HCF of 51 and 85 =
  11. 11.HCF of 380 and 320 =
  12. 12.HCF of 112 and 272 =
  13. 13.HCF of 285 and 180 =
  14. 14.HCF of 16 and 60 =
  15. 15.HCF of 180 and 84 =
  16. 16.HCF of 78 and 12 =
  17. 17.HCF of 28 and 98 =
  18. 18.HCF of 95 and 133 =
  19. 19.HCF of 60 and 84 =
  20. 20.HCF of 35 and 10 =
  21. 21.HCF of 242 and 176 =
  22. 22.HCF of 10 and 34 =
  23. 23.HCF of 30 and 8 =
  24. 24.HCF of 115 and 322 =
  25. 25.HCF of 234 and 221 =
  26. 26.HCF of 60 and 78 =
  27. 27.HCF of 136 and 88 =
  28. 28.HCF of 300 and 140 =
  29. 29.HCF of 170 and 50 =
  30. 30.HCF of 225 and 350 =
  31. 31.HCF of 68 and 60 =
  32. 32.HCF of 91 and 133 =
  33. 33.HCF of 368 and 253 =
  34. 34.HCF of 240 and 408 =
  35. 35.HCF of 130 and 50 =
  36. 36.HCF of 28 and 105 =
  37. 37.HCF of 16 and 34 =
  38. 38.HCF of 77 and 35 =
  39. 39.HCF of 60 and 33 =
  40. 40.HCF of 325 and 200 =

Answer key

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

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