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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 270 · 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 176 and 240 =
  2. 2.HCF of 36 and 44 =
  3. 3.HCF of 220 and 240 =
  4. 4.HCF of 42 and 189 =
  5. 5.HCF of 65 and 40 =
  6. 6.HCF of 39 and 51 =
  7. 7.HCF of 33 and 143 =
  8. 8.HCF of 33 and 18 =
  9. 9.HCF of 10 and 12 =
  10. 10.HCF of 32 and 104 =
  11. 11.HCF of 121 and 143 =
  12. 12.HCF of 10 and 8 =
  13. 13.HCF of 399 and 378 =
  14. 14.HCF of 52 and 91 =
  15. 15.HCF of 140 and 266 =
  16. 16.HCF of 391 and 184 =
  17. 17.HCF of 36 and 14 =
  18. 18.HCF of 312 and 360 =
  19. 19.HCF of 154 and 286 =
  20. 20.HCF of 400 and 225 =
  21. 21.HCF of 408 and 144 =
  22. 22.HCF of 90 and 27 =
  23. 23.HCF of 189 and 399 =
  24. 24.HCF of 88 and 198 =
  25. 25.HCF of 27 and 6 =
  26. 26.HCF of 88 and 55 =
  27. 27.HCF of 176 and 32 =
  28. 28.HCF of 153 and 54 =
  29. 29.HCF of 342 and 90 =
  30. 30.HCF of 154 and 66 =
  31. 31.HCF of 189 and 84 =
  32. 32.HCF of 28 and 6 =
  33. 33.HCF of 204 and 84 =
  34. 34.HCF of 88 and 77 =
  35. 35.HCF of 98 and 154 =
  36. 36.HCF of 70 and 65 =
  37. 37.HCF of 160 and 50 =
  38. 38.HCF of 63 and 180 =
  39. 39.HCF of 50 and 425 =
  40. 40.HCF of 76 and 8 =

Answer key

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

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