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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 257 · 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 102 and 289 =
  2. 2.HCF of 208 and 320 =
  3. 3.HCF of 216 and 48 =
  4. 4.HCF of 143 and 169 =
  5. 5.HCF of 84 and 273 =
  6. 6.HCF of 225 and 400 =
  7. 7.HCF of 90 and 160 =
  8. 8.HCF of 57 and 38 =
  9. 9.HCF of 72 and 132 =
  10. 10.HCF of 60 and 96 =
  11. 11.HCF of 78 and 18 =
  12. 12.HCF of 48 and 78 =
  13. 13.HCF of 45 and 100 =
  14. 14.HCF of 48 and 114 =
  15. 15.HCF of 14 and 20 =
  16. 16.HCF of 18 and 33 =
  17. 17.HCF of 150 and 45 =
  18. 18.HCF of 64 and 136 =
  19. 19.HCF of 160 and 304 =
  20. 20.HCF of 105 and 399 =
  21. 21.HCF of 64 and 88 =
  22. 22.HCF of 50 and 95 =
  23. 23.HCF of 240 and 220 =
  24. 24.HCF of 234 and 144 =
  25. 25.HCF of 56 and 96 =
  26. 26.HCF of 72 and 80 =
  27. 27.HCF of 55 and 143 =
  28. 28.HCF of 48 and 42 =
  29. 29.HCF of 104 and 16 =
  30. 30.HCF of 45 and 20 =
  31. 31.HCF of 247 and 156 =
  32. 32.HCF of 15 and 51 =
  33. 33.HCF of 168 and 70 =
  34. 34.HCF of 266 and 182 =
  35. 35.HCF of 18 and 21 =
  36. 36.HCF of 105 and 168 =
  37. 37.HCF of 60 and 114 =
  38. 38.HCF of 225 and 240 =
  39. 39.HCF of 66 and 55 =
  40. 40.HCF of 91 and 39 =

Answer key

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

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