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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 29 · 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 18 =
  2. 2.HCF of 90 and 85 =
  3. 3.HCF of 270 and 165 =
  4. 4.HCF of 35 and 45 =
  5. 5.HCF of 10 and 75 =
  6. 6.HCF of 300 and 140 =
  7. 7.HCF of 34 and 40 =
  8. 8.HCF of 91 and 35 =
  9. 9.HCF of 91 and 169 =
  10. 10.HCF of 90 and 96 =
  11. 11.HCF of 48 and 45 =
  12. 12.HCF of 10 and 45 =
  13. 13.HCF of 150 and 125 =
  14. 14.HCF of 16 and 10 =
  15. 15.HCF of 105 and 112 =
  16. 16.HCF of 65 and 234 =
  17. 17.HCF of 299 and 460 =
  18. 18.HCF of 100 and 240 =
  19. 19.HCF of 136 and 187 =
  20. 20.HCF of 9 and 51 =
  21. 21.HCF of 336 and 399 =
  22. 22.HCF of 475 and 375 =
  23. 23.HCF of 165 and 135 =
  24. 24.HCF of 500 and 425 =
  25. 25.HCF of 264 and 312 =
  26. 26.HCF of 144 and 99 =
  27. 27.HCF of 132 and 144 =
  28. 28.HCF of 240 and 408 =
  29. 29.HCF of 147 and 273 =
  30. 30.HCF of 28 and 77 =
  31. 31.HCF of 200 and 90 =
  32. 32.HCF of 51 and 39 =
  33. 33.HCF of 36 and 45 =
  34. 34.HCF of 99 and 143 =
  35. 35.HCF of 54 and 57 =
  36. 36.HCF of 21 and 98 =
  37. 37.HCF of 361 and 285 =
  38. 38.HCF of 220 and 66 =
  39. 39.HCF of 99 and 209 =
  40. 40.HCF of 140 and 320 =

Answer key

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

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