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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 845 · 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 275 and 150 =
  2. 2.HCF of 66 and 110 =
  3. 3.HCF of 154 and 140 =
  4. 4.HCF of 408 and 216 =
  5. 5.HCF of 32 and 38 =
  6. 6.HCF of 24 and 51 =
  7. 7.HCF of 72 and 84 =
  8. 8.HCF of 56 and 91 =
  9. 9.HCF of 161 and 115 =
  10. 10.HCF of 144 and 312 =
  11. 11.HCF of 70 and 119 =
  12. 12.HCF of 24 and 228 =
  13. 13.HCF of 81 and 126 =
  14. 14.HCF of 323 and 306 =
  15. 15.HCF of 153 and 45 =
  16. 16.HCF of 54 and 288 =
  17. 17.HCF of 273 and 63 =
  18. 18.HCF of 27 and 45 =
  19. 19.HCF of 92 and 115 =
  20. 20.HCF of 52 and 247 =
  21. 21.HCF of 75 and 35 =
  22. 22.HCF of 54 and 90 =
  23. 23.HCF of 264 and 480 =
  24. 24.HCF of 80 and 110 =
  25. 25.HCF of 120 and 132 =
  26. 26.HCF of 266 and 224 =
  27. 27.HCF of 120 and 50 =
  28. 28.HCF of 12 and 33 =
  29. 29.HCF of 57 and 33 =
  30. 30.HCF of 242 and 154 =
  31. 31.HCF of 187 and 132 =
  32. 32.HCF of 180 and 27 =
  33. 33.HCF of 68 and 16 =
  34. 34.HCF of 20 and 24 =
  35. 35.HCF of 280 and 260 =
  36. 36.HCF of 240 and 216 =
  37. 37.HCF of 14 and 20 =
  38. 38.HCF of 300 and 140 =
  39. 39.HCF of 420 and 189 =
  40. 40.HCF of 9 and 60 =

Answer key

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

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