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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 376 · 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 68 and 36 =
  2. 2.HCF of 45 and 72 =
  3. 3.HCF of 216 and 408 =
  4. 4.HCF of 132 and 144 =
  5. 5.HCF of 80 and 28 =
  6. 6.HCF of 48 and 120 =
  7. 7.HCF of 161 and 253 =
  8. 8.HCF of 57 and 38 =
  9. 9.HCF of 30 and 32 =
  10. 10.HCF of 108 and 342 =
  11. 11.HCF of 85 and 40 =
  12. 12.HCF of 9 and 15 =
  13. 13.HCF of 120 and 18 =
  14. 14.HCF of 16 and 76 =
  15. 15.HCF of 52 and 20 =
  16. 16.HCF of 42 and 140 =
  17. 17.HCF of 182 and 252 =
  18. 18.HCF of 64 and 136 =
  19. 19.HCF of 45 and 60 =
  20. 20.HCF of 34 and 32 =
  21. 21.HCF of 39 and 65 =
  22. 22.HCF of 110 and 120 =
  23. 23.HCF of 32 and 152 =
  24. 24.HCF of 84 and 54 =
  25. 25.HCF of 180 and 190 =
  26. 26.HCF of 340 and 187 =
  27. 27.HCF of 48 and 312 =
  28. 28.HCF of 112 and 35 =
  29. 29.HCF of 234 and 143 =
  30. 30.HCF of 48 and 136 =
  31. 31.HCF of 78 and 42 =
  32. 32.HCF of 380 and 300 =
  33. 33.HCF of 121 and 44 =
  34. 34.HCF of 108 and 99 =
  35. 35.HCF of 100 and 75 =
  36. 36.HCF of 264 and 120 =
  37. 37.HCF of 300 and 140 =
  38. 38.HCF of 126 and 399 =
  39. 39.HCF of 12 and 9 =
  40. 40.HCF of 48 and 68 =

Answer key

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

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