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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 591 · 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 160 and 30 =
  2. 2.HCF of 28 and 68 =
  3. 3.HCF of 133 and 70 =
  4. 4.HCF of 247 and 104 =
  5. 5.HCF of 26 and 32 =
  6. 6.HCF of 220 and 33 =
  7. 7.HCF of 30 and 70 =
  8. 8.HCF of 65 and 85 =
  9. 9.HCF of 42 and 119 =
  10. 10.HCF of 42 and 266 =
  11. 11.HCF of 54 and 342 =
  12. 12.HCF of 180 and 48 =
  13. 13.HCF of 24 and 66 =
  14. 14.HCF of 204 and 108 =
  15. 15.HCF of 391 and 414 =
  16. 16.HCF of 286 and 264 =
  17. 17.HCF of 12 and 9 =
  18. 18.HCF of 33 and 18 =
  19. 19.HCF of 220 and 280 =
  20. 20.HCF of 20 and 48 =
  21. 21.HCF of 128 and 48 =
  22. 22.HCF of 20 and 15 =
  23. 23.HCF of 304 and 95 =
  24. 24.HCF of 15 and 57 =
  25. 25.HCF of 360 and 162 =
  26. 26.HCF of 38 and 209 =
  27. 27.HCF of 198 and 55 =
  28. 28.HCF of 12 and 18 =
  29. 29.HCF of 69 and 368 =
  30. 30.HCF of 182 and 143 =
  31. 31.HCF of 153 and 180 =
  32. 32.HCF of 144 and 306 =
  33. 33.HCF of 150 and 20 =
  34. 34.HCF of 51 and 238 =
  35. 35.HCF of 36 and 56 =
  36. 36.HCF of 144 and 204 =
  37. 37.HCF of 4 and 38 =
  38. 38.HCF of 125 and 275 =
  39. 39.HCF of 4 and 22 =
  40. 40.HCF of 196 and 210 =

Answer key

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

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