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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 459 · 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 126 and 108 =
  2. 2.HCF of 22 and 14 =
  3. 3.HCF of 190 and 170 =
  4. 4.HCF of 408 and 456 =
  5. 5.HCF of 84 and 147 =
  6. 6.HCF of 64 and 120 =
  7. 7.HCF of 42 and 399 =
  8. 8.HCF of 104 and 40 =
  9. 9.HCF of 266 and 98 =
  10. 10.HCF of 170 and 20 =
  11. 11.HCF of 88 and 121 =
  12. 12.HCF of 64 and 52 =
  13. 13.HCF of 66 and 96 =
  14. 14.HCF of 125 and 275 =
  15. 15.HCF of 273 and 231 =
  16. 16.HCF of 4 and 22 =
  17. 17.HCF of 162 and 117 =
  18. 18.HCF of 68 and 85 =
  19. 19.HCF of 42 and 196 =
  20. 20.HCF of 209 and 88 =
  21. 21.HCF of 91 and 221 =
  22. 22.HCF of 60 and 16 =
  23. 23.HCF of 256 and 144 =
  24. 24.HCF of 304 and 192 =
  25. 25.HCF of 45 and 20 =
  26. 26.HCF of 78 and 36 =
  27. 27.HCF of 36 and 102 =
  28. 28.HCF of 414 and 391 =
  29. 29.HCF of 49 and 14 =
  30. 30.HCF of 154 and 70 =
  31. 31.HCF of 36 and 114 =
  32. 32.HCF of 304 and 80 =
  33. 33.HCF of 40 and 150 =
  34. 34.HCF of 114 and 66 =
  35. 35.HCF of 108 and 171 =
  36. 36.HCF of 130 and 100 =
  37. 37.HCF of 35 and 10 =
  38. 38.HCF of 26 and 32 =
  39. 39.HCF of 52 and 91 =
  40. 40.HCF of 16 and 136 =

Answer key

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

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