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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 231 · 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 189 and 84 =
  2. 2.HCF of 27 and 72 =
  3. 3.HCF of 180 and 160 =
  4. 4.HCF of 63 and 144 =
  5. 5.HCF of 323 and 340 =
  6. 6.HCF of 264 and 168 =
  7. 7.HCF of 56 and 48 =
  8. 8.HCF of 40 and 220 =
  9. 9.HCF of 65 and 91 =
  10. 10.HCF of 160 and 144 =
  11. 11.HCF of 91 and 42 =
  12. 12.HCF of 77 and 119 =
  13. 13.HCF of 160 and 140 =
  14. 14.HCF of 182 and 221 =
  15. 15.HCF of 9 and 48 =
  16. 16.HCF of 18 and 60 =
  17. 17.HCF of 288 and 306 =
  18. 18.HCF of 35 and 75 =
  19. 19.HCF of 44 and 24 =
  20. 20.HCF of 119 and 105 =
  21. 21.HCF of 18 and 66 =
  22. 22.HCF of 96 and 304 =
  23. 23.HCF of 34 and 6 =
  24. 24.HCF of 45 and 70 =
  25. 25.HCF of 33 and 121 =
  26. 26.HCF of 170 and 160 =
  27. 27.HCF of 228 and 36 =
  28. 28.HCF of 340 and 289 =
  29. 29.HCF of 112 and 70 =
  30. 30.HCF of 220 and 380 =
  31. 31.HCF of 68 and 221 =
  32. 32.HCF of 21 and 14 =
  33. 33.HCF of 208 and 96 =
  34. 34.HCF of 242 and 330 =
  35. 35.HCF of 357 and 336 =
  36. 36.HCF of 75 and 90 =
  37. 37.HCF of 15 and 20 =
  38. 38.HCF of 35 and 60 =
  39. 39.HCF of 95 and 171 =
  40. 40.HCF of 84 and 18 =

Answer key

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

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