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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 394 · 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 36 and 99 =
  2. 2.HCF of 220 and 33 =
  3. 3.HCF of 133 and 304 =
  4. 4.HCF of 304 and 288 =
  5. 5.HCF of 168 and 432 =
  6. 6.HCF of 144 and 456 =
  7. 7.HCF of 220 and 140 =
  8. 8.HCF of 264 and 154 =
  9. 9.HCF of 38 and 209 =
  10. 10.HCF of 30 and 9 =
  11. 11.HCF of 68 and 153 =
  12. 12.HCF of 36 and 64 =
  13. 13.HCF of 100 and 15 =
  14. 14.HCF of 48 and 28 =
  15. 15.HCF of 209 and 304 =
  16. 16.HCF of 252 and 342 =
  17. 17.HCF of 32 and 24 =
  18. 18.HCF of 144 and 408 =
  19. 19.HCF of 315 and 399 =
  20. 20.HCF of 35 and 42 =
  21. 21.HCF of 70 and 160 =
  22. 22.HCF of 90 and 55 =
  23. 23.HCF of 144 and 256 =
  24. 24.HCF of 242 and 154 =
  25. 25.HCF of 180 and 100 =
  26. 26.HCF of 12 and 27 =
  27. 27.HCF of 63 and 168 =
  28. 28.HCF of 198 and 44 =
  29. 29.HCF of 42 and 36 =
  30. 30.HCF of 45 and 285 =
  31. 31.HCF of 72 and 102 =
  32. 32.HCF of 52 and 76 =
  33. 33.HCF of 21 and 48 =
  34. 34.HCF of 340 and 220 =
  35. 35.HCF of 156 and 48 =
  36. 36.HCF of 275 and 125 =
  37. 37.HCF of 12 and 8 =
  38. 38.HCF of 280 and 238 =
  39. 39.HCF of 16 and 14 =
  40. 40.HCF of 255 and 45 =

Answer key

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

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