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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 208 · 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 418 and 308 =
  2. 2.HCF of 20 and 76 =
  3. 3.HCF of 6 and 4 =
  4. 4.HCF of 68 and 72 =
  5. 5.HCF of 105 and 168 =
  6. 6.HCF of 120 and 192 =
  7. 7.HCF of 54 and 342 =
  8. 8.HCF of 72 and 96 =
  9. 9.HCF of 120 and 70 =
  10. 10.HCF of 190 and 20 =
  11. 11.HCF of 221 and 153 =
  12. 12.HCF of 10 and 22 =
  13. 13.HCF of 55 and 60 =
  14. 14.HCF of 75 and 165 =
  15. 15.HCF of 45 and 25 =
  16. 16.HCF of 102 and 66 =
  17. 17.HCF of 224 and 98 =
  18. 18.HCF of 171 and 36 =
  19. 19.HCF of 240 and 176 =
  20. 20.HCF of 357 and 231 =
  21. 21.HCF of 208 and 80 =
  22. 22.HCF of 91 and 156 =
  23. 23.HCF of 27 and 180 =
  24. 24.HCF of 60 and 130 =
  25. 25.HCF of 153 and 81 =
  26. 26.HCF of 432 and 120 =
  27. 27.HCF of 176 and 330 =
  28. 28.HCF of 49 and 21 =
  29. 29.HCF of 361 and 171 =
  30. 30.HCF of 52 and 48 =
  31. 31.HCF of 63 and 140 =
  32. 32.HCF of 119 and 68 =
  33. 33.HCF of 45 and 50 =
  34. 34.HCF of 361 and 228 =
  35. 35.HCF of 240 and 165 =
  36. 36.HCF of 39 and 143 =
  37. 37.HCF of 72 and 48 =
  38. 38.HCF of 256 and 112 =
  39. 39.HCF of 48 and 30 =
  40. 40.HCF of 78 and 30 =

Answer key

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

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