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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 229 · 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 22 and 99 =
  2. 2.HCF of 80 and 128 =
  3. 3.HCF of 75 and 45 =
  4. 4.HCF of 125 and 275 =
  5. 5.HCF of 51 and 21 =
  6. 6.HCF of 24 and 76 =
  7. 7.HCF of 162 and 144 =
  8. 8.HCF of 36 and 54 =
  9. 9.HCF of 160 and 208 =
  10. 10.HCF of 180 and 27 =
  11. 11.HCF of 70 and 200 =
  12. 12.HCF of 30 and 8 =
  13. 13.HCF of 285 and 38 =
  14. 14.HCF of 91 and 221 =
  15. 15.HCF of 144 and 136 =
  16. 16.HCF of 18 and 99 =
  17. 17.HCF of 70 and 180 =
  18. 18.HCF of 33 and 44 =
  19. 19.HCF of 110 and 198 =
  20. 20.HCF of 24 and 9 =
  21. 21.HCF of 32 and 28 =
  22. 22.HCF of 70 and 182 =
  23. 23.HCF of 16 and 76 =
  24. 24.HCF of 221 and 104 =
  25. 25.HCF of 432 and 264 =
  26. 26.HCF of 15 and 85 =
  27. 27.HCF of 95 and 228 =
  28. 28.HCF of 63 and 99 =
  29. 29.HCF of 288 and 312 =
  30. 30.HCF of 198 and 352 =
  31. 31.HCF of 56 and 119 =
  32. 32.HCF of 357 and 126 =
  33. 33.HCF of 256 and 240 =
  34. 34.HCF of 78 and 247 =
  35. 35.HCF of 120 and 144 =
  36. 36.HCF of 16 and 24 =
  37. 37.HCF of 285 and 300 =
  38. 38.HCF of 154 and 196 =
  39. 39.HCF of 72 and 306 =
  40. 40.HCF of 342 and 108 =

Answer key

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

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