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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 340 · 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 78 and 96 =
  2. 2.HCF of 399 and 63 =
  3. 3.HCF of 112 and 91 =
  4. 4.HCF of 32 and 18 =
  5. 5.HCF of 90 and 117 =
  6. 6.HCF of 49 and 140 =
  7. 7.HCF of 14 and 105 =
  8. 8.HCF of 56 and 152 =
  9. 9.HCF of 105 and 195 =
  10. 10.HCF of 15 and 40 =
  11. 11.HCF of 45 and 6 =
  12. 12.HCF of 126 and 119 =
  13. 13.HCF of 57 and 54 =
  14. 14.HCF of 18 and 20 =
  15. 15.HCF of 6 and 39 =
  16. 16.HCF of 216 and 198 =
  17. 17.HCF of 160 and 130 =
  18. 18.HCF of 30 and 285 =
  19. 19.HCF of 247 and 228 =
  20. 20.HCF of 210 and 224 =
  21. 21.HCF of 60 and 84 =
  22. 22.HCF of 65 and 52 =
  23. 23.HCF of 26 and 143 =
  24. 24.HCF of 65 and 80 =
  25. 25.HCF of 49 and 42 =
  26. 26.HCF of 15 and 36 =
  27. 27.HCF of 304 and 128 =
  28. 28.HCF of 256 and 144 =
  29. 29.HCF of 312 and 144 =
  30. 30.HCF of 400 and 225 =
  31. 31.HCF of 143 and 52 =
  32. 32.HCF of 72 and 88 =
  33. 33.HCF of 64 and 136 =
  34. 34.HCF of 16 and 136 =
  35. 35.HCF of 190 and 133 =
  36. 36.HCF of 60 and 80 =
  37. 37.HCF of 30 and 4 =
  38. 38.HCF of 126 and 98 =
  39. 39.HCF of 156 and 24 =
  40. 40.HCF of 400 and 475 =

Answer key

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

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