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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 663 · 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 60 and 64 =
  2. 2.HCF of 210 and 147 =
  3. 3.HCF of 60 and 56 =
  4. 4.HCF of 34 and 22 =
  5. 5.HCF of 391 and 207 =
  6. 6.HCF of 144 and 128 =
  7. 7.HCF of 80 and 140 =
  8. 8.HCF of 14 and 40 =
  9. 9.HCF of 152 and 16 =
  10. 10.HCF of 360 and 264 =
  11. 11.HCF of 30 and 51 =
  12. 12.HCF of 162 and 342 =
  13. 13.HCF of 187 and 85 =
  14. 14.HCF of 340 and 400 =
  15. 15.HCF of 60 and 192 =
  16. 16.HCF of 198 and 54 =
  17. 17.HCF of 32 and 176 =
  18. 18.HCF of 60 and 27 =
  19. 19.HCF of 207 and 368 =
  20. 20.HCF of 55 and 80 =
  21. 21.HCF of 42 and 266 =
  22. 22.HCF of 273 and 42 =
  23. 23.HCF of 69 and 253 =
  24. 24.HCF of 120 and 285 =
  25. 25.HCF of 8 and 10 =
  26. 26.HCF of 12 and 30 =
  27. 27.HCF of 156 and 143 =
  28. 28.HCF of 12 and 22 =
  29. 29.HCF of 84 and 273 =
  30. 30.HCF of 60 and 27 =
  31. 31.HCF of 414 and 299 =
  32. 32.HCF of 170 and 200 =
  33. 33.HCF of 220 and 187 =
  34. 34.HCF of 12 and 39 =
  35. 35.HCF of 35 and 50 =
  36. 36.HCF of 20 and 76 =
  37. 37.HCF of 108 and 96 =
  38. 38.HCF of 168 and 315 =
  39. 39.HCF of 70 and 266 =
  40. 40.HCF of 42 and 70 =

Answer key

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

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