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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 832 · 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 231 and 336 =
  2. 2.HCF of 225 and 165 =
  3. 3.HCF of 77 and 198 =
  4. 4.HCF of 144 and 152 =
  5. 5.HCF of 24 and 32 =
  6. 6.HCF of 14 and 4 =
  7. 7.HCF of 115 and 322 =
  8. 8.HCF of 342 and 54 =
  9. 9.HCF of 10 and 16 =
  10. 10.HCF of 330 and 242 =
  11. 11.HCF of 56 and 72 =
  12. 12.HCF of 160 and 136 =
  13. 13.HCF of 8 and 28 =
  14. 14.HCF of 38 and 10 =
  15. 15.HCF of 10 and 6 =
  16. 16.HCF of 216 and 306 =
  17. 17.HCF of 68 and 40 =
  18. 18.HCF of 266 and 168 =
  19. 19.HCF of 10 and 35 =
  20. 20.HCF of 175 and 400 =
  21. 21.HCF of 112 and 272 =
  22. 22.HCF of 85 and 15 =
  23. 23.HCF of 24 and 57 =
  24. 24.HCF of 260 and 400 =
  25. 25.HCF of 357 and 378 =
  26. 26.HCF of 266 and 285 =
  27. 27.HCF of 207 and 253 =
  28. 28.HCF of 28 and 20 =
  29. 29.HCF of 242 and 330 =
  30. 30.HCF of 20 and 22 =
  31. 31.HCF of 40 and 72 =
  32. 32.HCF of 147 and 252 =
  33. 33.HCF of 147 and 168 =
  34. 34.HCF of 176 and 288 =
  35. 35.HCF of 108 and 168 =
  36. 36.HCF of 198 and 216 =
  37. 37.HCF of 340 and 220 =
  38. 38.HCF of 32 and 28 =
  39. 39.HCF of 230 and 161 =
  40. 40.HCF of 154 and 198 =

Answer key

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

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