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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 642 · 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 440 and 154 =
  2. 2.HCF of 240 and 36 =
  3. 3.HCF of 374 and 176 =
  4. 4.HCF of 70 and 252 =
  5. 5.HCF of 133 and 28 =
  6. 6.HCF of 40 and 70 =
  7. 7.HCF of 32 and 104 =
  8. 8.HCF of 12 and 10 =
  9. 9.HCF of 108 and 228 =
  10. 10.HCF of 160 and 30 =
  11. 11.HCF of 99 and 144 =
  12. 12.HCF of 52 and 20 =
  13. 13.HCF of 147 and 42 =
  14. 14.HCF of 184 and 437 =
  15. 15.HCF of 192 and 304 =
  16. 16.HCF of 361 and 304 =
  17. 17.HCF of 70 and 100 =
  18. 18.HCF of 121 and 66 =
  19. 19.HCF of 102 and 36 =
  20. 20.HCF of 12 and 28 =
  21. 21.HCF of 77 and 143 =
  22. 22.HCF of 40 and 260 =
  23. 23.HCF of 115 and 253 =
  24. 24.HCF of 24 and 60 =
  25. 25.HCF of 100 and 275 =
  26. 26.HCF of 8 and 36 =
  27. 27.HCF of 77 and 66 =
  28. 28.HCF of 63 and 56 =
  29. 29.HCF of 77 and 63 =
  30. 30.HCF of 76 and 28 =
  31. 31.HCF of 33 and 48 =
  32. 32.HCF of 216 and 168 =
  33. 33.HCF of 40 and 128 =
  34. 34.HCF of 6 and 40 =
  35. 35.HCF of 285 and 209 =
  36. 36.HCF of 133 and 38 =
  37. 37.HCF of 374 and 132 =
  38. 38.HCF of 57 and 76 =
  39. 39.HCF of 44 and 48 =
  40. 40.HCF of 120 and 54 =

Answer key

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

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