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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 167 · 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 24 and 39 =
  2. 2.HCF of 65 and 156 =
  3. 3.HCF of 117 and 162 =
  4. 4.HCF of 39 and 18 =
  5. 5.HCF of 70 and 91 =
  6. 6.HCF of 132 and 110 =
  7. 7.HCF of 418 and 132 =
  8. 8.HCF of 130 and 170 =
  9. 9.HCF of 294 and 189 =
  10. 10.HCF of 95 and 70 =
  11. 11.HCF of 102 and 120 =
  12. 12.HCF of 20 and 25 =
  13. 13.HCF of 77 and 133 =
  14. 14.HCF of 169 and 221 =
  15. 15.HCF of 18 and 27 =
  16. 16.HCF of 36 and 66 =
  17. 17.HCF of 104 and 169 =
  18. 18.HCF of 140 and 21 =
  19. 19.HCF of 414 and 161 =
  20. 20.HCF of 275 and 350 =
  21. 21.HCF of 21 and 39 =
  22. 22.HCF of 110 and 80 =
  23. 23.HCF of 100 and 40 =
  24. 24.HCF of 15 and 10 =
  25. 25.HCF of 48 and 20 =
  26. 26.HCF of 68 and 72 =
  27. 27.HCF of 70 and 126 =
  28. 28.HCF of 72 and 20 =
  29. 29.HCF of 357 and 231 =
  30. 30.HCF of 48 and 18 =
  31. 31.HCF of 60 and 8 =
  32. 32.HCF of 98 and 21 =
  33. 33.HCF of 48 and 204 =
  34. 34.HCF of 437 and 276 =
  35. 35.HCF of 112 and 35 =
  36. 36.HCF of 144 and 56 =
  37. 37.HCF of 64 and 28 =
  38. 38.HCF of 270 and 288 =
  39. 39.HCF of 299 and 46 =
  40. 40.HCF of 60 and 260 =

Answer key

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

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