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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 624 · 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 22 and 10 =
  2. 2.HCF of 171 and 117 =
  3. 3.HCF of 110 and 20 =
  4. 4.HCF of 400 and 380 =
  5. 5.HCF of 198 and 126 =
  6. 6.HCF of 33 and 30 =
  7. 7.HCF of 60 and 55 =
  8. 8.HCF of 55 and 100 =
  9. 9.HCF of 325 and 275 =
  10. 10.HCF of 54 and 126 =
  11. 11.HCF of 85 and 10 =
  12. 12.HCF of 60 and 42 =
  13. 13.HCF of 88 and 242 =
  14. 14.HCF of 130 and 247 =
  15. 15.HCF of 85 and 75 =
  16. 16.HCF of 36 and 90 =
  17. 17.HCF of 143 and 66 =
  18. 18.HCF of 56 and 36 =
  19. 19.HCF of 110 and 77 =
  20. 20.HCF of 115 and 391 =
  21. 21.HCF of 66 and 30 =
  22. 22.HCF of 27 and 144 =
  23. 23.HCF of 340 and 200 =
  24. 24.HCF of 36 and 66 =
  25. 25.HCF of 45 and 81 =
  26. 26.HCF of 66 and 30 =
  27. 27.HCF of 152 and 48 =
  28. 28.HCF of 128 and 104 =
  29. 29.HCF of 176 and 330 =
  30. 30.HCF of 75 and 55 =
  31. 31.HCF of 54 and 288 =
  32. 32.HCF of 80 and 170 =
  33. 33.HCF of 102 and 24 =
  34. 34.HCF of 12 and 114 =
  35. 35.HCF of 80 and 288 =
  36. 36.HCF of 30 and 32 =
  37. 37.HCF of 195 and 60 =
  38. 38.HCF of 105 and 14 =
  39. 39.HCF of 25 and 60 =
  40. 40.HCF of 55 and 66 =

Answer key

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

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