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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 36 · 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 108 and 126 =
  2. 2.HCF of 361 and 342 =
  3. 3.HCF of 95 and 209 =
  4. 4.HCF of 36 and 15 =
  5. 5.HCF of 27 and 99 =
  6. 6.HCF of 320 and 340 =
  7. 7.HCF of 21 and 30 =
  8. 8.HCF of 68 and 28 =
  9. 9.HCF of 105 and 14 =
  10. 10.HCF of 75 and 70 =
  11. 11.HCF of 64 and 80 =
  12. 12.HCF of 112 and 133 =
  13. 13.HCF of 70 and 21 =
  14. 14.HCF of 108 and 63 =
  15. 15.HCF of 408 and 480 =
  16. 16.HCF of 24 and 136 =
  17. 17.HCF of 75 and 10 =
  18. 18.HCF of 320 and 144 =
  19. 19.HCF of 57 and 38 =
  20. 20.HCF of 96 and 180 =
  21. 21.HCF of 10 and 16 =
  22. 22.HCF of 120 and 192 =
  23. 23.HCF of 425 and 225 =
  24. 24.HCF of 128 and 304 =
  25. 25.HCF of 60 and 380 =
  26. 26.HCF of 63 and 36 =
  27. 27.HCF of 52 and 48 =
  28. 28.HCF of 175 and 325 =
  29. 29.HCF of 168 and 288 =
  30. 30.HCF of 95 and 228 =
  31. 31.HCF of 40 and 144 =
  32. 32.HCF of 100 and 60 =
  33. 33.HCF of 80 and 140 =
  34. 34.HCF of 12 and 102 =
  35. 35.HCF of 63 and 42 =
  36. 36.HCF of 136 and 72 =
  37. 37.HCF of 220 and 209 =
  38. 38.HCF of 49 and 84 =
  39. 39.HCF of 57 and 15 =
  40. 40.HCF of 180 and 260 =

Answer key

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

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