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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 831 · 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 400 and 375 =
  2. 2.HCF of 84 and 91 =
  3. 3.HCF of 208 and 65 =
  4. 4.HCF of 168 and 288 =
  5. 5.HCF of 52 and 20 =
  6. 6.HCF of 32 and 48 =
  7. 7.HCF of 100 and 125 =
  8. 8.HCF of 57 and 95 =
  9. 9.HCF of 14 and 49 =
  10. 10.HCF of 9 and 30 =
  11. 11.HCF of 38 and 209 =
  12. 12.HCF of 242 and 66 =
  13. 13.HCF of 22 and 4 =
  14. 14.HCF of 209 and 55 =
  15. 15.HCF of 187 and 323 =
  16. 16.HCF of 9 and 33 =
  17. 17.HCF of 63 and 54 =
  18. 18.HCF of 165 and 255 =
  19. 19.HCF of 260 and 220 =
  20. 20.HCF of 46 and 253 =
  21. 21.HCF of 49 and 91 =
  22. 22.HCF of 126 and 273 =
  23. 23.HCF of 400 and 425 =
  24. 24.HCF of 126 and 54 =
  25. 25.HCF of 220 and 66 =
  26. 26.HCF of 54 and 234 =
  27. 27.HCF of 63 and 162 =
  28. 28.HCF of 39 and 130 =
  29. 29.HCF of 299 and 322 =
  30. 30.HCF of 44 and 209 =
  31. 31.HCF of 45 and 63 =
  32. 32.HCF of 69 and 46 =
  33. 33.HCF of 374 and 154 =
  34. 34.HCF of 242 and 418 =
  35. 35.HCF of 88 and 418 =
  36. 36.HCF of 180 and 171 =
  37. 37.HCF of 20 and 55 =
  38. 38.HCF of 234 and 342 =
  39. 39.HCF of 32 and 24 =
  40. 40.HCF of 100 and 15 =

Answer key

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

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