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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 452 · 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 220 and 200 =
  2. 2.HCF of 18 and 81 =
  3. 3.HCF of 57 and 15 =
  4. 4.HCF of 52 and 68 =
  5. 5.HCF of 36 and 42 =
  6. 6.HCF of 91 and 104 =
  7. 7.HCF of 60 and 200 =
  8. 8.HCF of 120 and 84 =
  9. 9.HCF of 126 and 147 =
  10. 10.HCF of 52 and 24 =
  11. 11.HCF of 242 and 44 =
  12. 12.HCF of 225 and 325 =
  13. 13.HCF of 66 and 42 =
  14. 14.HCF of 96 and 456 =
  15. 15.HCF of 176 and 304 =
  16. 16.HCF of 16 and 14 =
  17. 17.HCF of 72 and 342 =
  18. 18.HCF of 30 and 36 =
  19. 19.HCF of 165 and 30 =
  20. 20.HCF of 480 and 168 =
  21. 21.HCF of 36 and 33 =
  22. 22.HCF of 204 and 132 =
  23. 23.HCF of 228 and 361 =
  24. 24.HCF of 315 and 357 =
  25. 25.HCF of 162 and 45 =
  26. 26.HCF of 32 and 26 =
  27. 27.HCF of 77 and 220 =
  28. 28.HCF of 55 and 80 =
  29. 29.HCF of 57 and 18 =
  30. 30.HCF of 45 and 300 =
  31. 31.HCF of 143 and 130 =
  32. 32.HCF of 228 and 323 =
  33. 33.HCF of 52 and 65 =
  34. 34.HCF of 320 and 208 =
  35. 35.HCF of 98 and 126 =
  36. 36.HCF of 153 and 54 =
  37. 37.HCF of 280 and 60 =
  38. 38.HCF of 375 and 275 =
  39. 39.HCF of 198 and 187 =
  40. 40.HCF of 75 and 50 =

Answer key

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

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