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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 499 · 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 57 and 27 =
  2. 2.HCF of 48 and 9 =
  3. 3.HCF of 98 and 42 =
  4. 4.HCF of 189 and 420 =
  5. 5.HCF of 33 and 15 =
  6. 6.HCF of 72 and 152 =
  7. 7.HCF of 342 and 252 =
  8. 8.HCF of 10 and 45 =
  9. 9.HCF of 171 and 152 =
  10. 10.HCF of 35 and 49 =
  11. 11.HCF of 48 and 78 =
  12. 12.HCF of 72 and 20 =
  13. 13.HCF of 18 and 99 =
  14. 14.HCF of 104 and 136 =
  15. 15.HCF of 176 and 418 =
  16. 16.HCF of 98 and 210 =
  17. 17.HCF of 63 and 357 =
  18. 18.HCF of 30 and 85 =
  19. 19.HCF of 18 and 8 =
  20. 20.HCF of 18 and 114 =
  21. 21.HCF of 52 and 8 =
  22. 22.HCF of 40 and 110 =
  23. 23.HCF of 325 and 50 =
  24. 24.HCF of 66 and 36 =
  25. 25.HCF of 75 and 165 =
  26. 26.HCF of 40 and 36 =
  27. 27.HCF of 72 and 160 =
  28. 28.HCF of 20 and 56 =
  29. 29.HCF of 60 and 44 =
  30. 30.HCF of 102 and 18 =
  31. 31.HCF of 68 and 12 =
  32. 32.HCF of 247 and 26 =
  33. 33.HCF of 25 and 60 =
  34. 34.HCF of 45 and 33 =
  35. 35.HCF of 336 and 357 =
  36. 36.HCF of 299 and 437 =
  37. 37.HCF of 247 and 260 =
  38. 38.HCF of 143 and 110 =
  39. 39.HCF of 204 and 144 =
  40. 40.HCF of 84 and 119 =

Answer key

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

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