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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 457 · 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 24 and 32 =
  2. 2.HCF of 90 and 65 =
  3. 3.HCF of 21 and 48 =
  4. 4.HCF of 48 and 72 =
  5. 5.HCF of 56 and 210 =
  6. 6.HCF of 90 and 36 =
  7. 7.HCF of 30 and 75 =
  8. 8.HCF of 24 and 90 =
  9. 9.HCF of 90 and 165 =
  10. 10.HCF of 55 and 60 =
  11. 11.HCF of 91 and 35 =
  12. 12.HCF of 51 and 289 =
  13. 13.HCF of 342 and 108 =
  14. 14.HCF of 115 and 161 =
  15. 15.HCF of 15 and 24 =
  16. 16.HCF of 48 and 160 =
  17. 17.HCF of 42 and 24 =
  18. 18.HCF of 247 and 57 =
  19. 19.HCF of 143 and 52 =
  20. 20.HCF of 24 and 56 =
  21. 21.HCF of 110 and 40 =
  22. 22.HCF of 72 and 20 =
  23. 23.HCF of 98 and 112 =
  24. 24.HCF of 24 and 36 =
  25. 25.HCF of 28 and 64 =
  26. 26.HCF of 176 and 121 =
  27. 27.HCF of 40 and 52 =
  28. 28.HCF of 72 and 78 =
  29. 29.HCF of 81 and 126 =
  30. 30.HCF of 55 and 100 =
  31. 31.HCF of 55 and 70 =
  32. 32.HCF of 152 and 209 =
  33. 33.HCF of 144 and 40 =
  34. 34.HCF of 36 and 51 =
  35. 35.HCF of 30 and 102 =
  36. 36.HCF of 36 and 63 =
  37. 37.HCF of 55 and 15 =
  38. 38.HCF of 25 and 70 =
  39. 39.HCF of 192 and 72 =
  40. 40.HCF of 272 and 160 =

Answer key

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

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