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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 880 · 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 36 =
  2. 2.HCF of 50 and 180 =
  3. 3.HCF of 162 and 342 =
  4. 4.HCF of 160 and 100 =
  5. 5.HCF of 312 and 120 =
  6. 6.HCF of 240 and 128 =
  7. 7.HCF of 48 and 78 =
  8. 8.HCF of 60 and 100 =
  9. 9.HCF of 56 and 160 =
  10. 10.HCF of 12 and 66 =
  11. 11.HCF of 221 and 85 =
  12. 12.HCF of 132 and 72 =
  13. 13.HCF of 306 and 221 =
  14. 14.HCF of 63 and 14 =
  15. 15.HCF of 224 and 304 =
  16. 16.HCF of 275 and 100 =
  17. 17.HCF of 108 and 240 =
  18. 18.HCF of 325 and 175 =
  19. 19.HCF of 27 and 99 =
  20. 20.HCF of 374 and 264 =
  21. 21.HCF of 42 and 105 =
  22. 22.HCF of 28 and 76 =
  23. 23.HCF of 108 and 114 =
  24. 24.HCF of 266 and 112 =
  25. 25.HCF of 91 and 143 =
  26. 26.HCF of 187 and 22 =
  27. 27.HCF of 72 and 84 =
  28. 28.HCF of 304 and 64 =
  29. 29.HCF of 176 and 121 =
  30. 30.HCF of 144 and 64 =
  31. 31.HCF of 184 and 115 =
  32. 32.HCF of 38 and 26 =
  33. 33.HCF of 99 and 63 =
  34. 34.HCF of 432 and 120 =
  35. 35.HCF of 300 and 40 =
  36. 36.HCF of 27 and 126 =
  37. 37.HCF of 35 and 10 =
  38. 38.HCF of 342 and 162 =
  39. 39.HCF of 208 and 32 =
  40. 40.HCF of 63 and 117 =

Answer key

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

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