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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 38 · 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 432 and 264 =
  2. 2.HCF of 90 and 144 =
  3. 3.HCF of 228 and 60 =
  4. 4.HCF of 168 and 238 =
  5. 5.HCF of 63 and 18 =
  6. 6.HCF of 60 and 78 =
  7. 7.HCF of 140 and 100 =
  8. 8.HCF of 30 and 225 =
  9. 9.HCF of 140 and 133 =
  10. 10.HCF of 152 and 171 =
  11. 11.HCF of 280 and 238 =
  12. 12.HCF of 91 and 70 =
  13. 13.HCF of 285 and 45 =
  14. 14.HCF of 84 and 105 =
  15. 15.HCF of 192 and 360 =
  16. 16.HCF of 408 and 456 =
  17. 17.HCF of 115 and 161 =
  18. 18.HCF of 30 and 140 =
  19. 19.HCF of 77 and 121 =
  20. 20.HCF of 108 and 168 =
  21. 21.HCF of 95 and 76 =
  22. 22.HCF of 147 and 84 =
  23. 23.HCF of 42 and 91 =
  24. 24.HCF of 35 and 14 =
  25. 25.HCF of 196 and 42 =
  26. 26.HCF of 12 and 10 =
  27. 27.HCF of 120 and 50 =
  28. 28.HCF of 30 and 50 =
  29. 29.HCF of 39 and 60 =
  30. 30.HCF of 208 and 288 =
  31. 31.HCF of 285 and 323 =
  32. 32.HCF of 216 and 168 =
  33. 33.HCF of 133 and 342 =
  34. 34.HCF of 32 and 44 =
  35. 35.HCF of 408 and 384 =
  36. 36.HCF of 272 and 48 =
  37. 37.HCF of 22 and 12 =
  38. 38.HCF of 374 and 198 =
  39. 39.HCF of 78 and 143 =
  40. 40.HCF of 63 and 36 =

Answer key

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

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