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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 460 · 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 399 =
  2. 2.HCF of 42 and 45 =
  3. 3.HCF of 156 and 247 =
  4. 4.HCF of 52 and 8 =
  5. 5.HCF of 323 and 114 =
  6. 6.HCF of 16 and 12 =
  7. 7.HCF of 256 and 272 =
  8. 8.HCF of 228 and 156 =
  9. 9.HCF of 322 and 391 =
  10. 10.HCF of 38 and 323 =
  11. 11.HCF of 150 and 195 =
  12. 12.HCF of 55 and 85 =
  13. 13.HCF of 147 and 105 =
  14. 14.HCF of 96 and 168 =
  15. 15.HCF of 15 and 36 =
  16. 16.HCF of 40 and 22 =
  17. 17.HCF of 255 and 105 =
  18. 18.HCF of 6 and 10 =
  19. 19.HCF of 45 and 63 =
  20. 20.HCF of 91 and 119 =
  21. 21.HCF of 160 and 104 =
  22. 22.HCF of 60 and 75 =
  23. 23.HCF of 108 and 234 =
  24. 24.HCF of 8 and 6 =
  25. 25.HCF of 374 and 418 =
  26. 26.HCF of 147 and 126 =
  27. 27.HCF of 24 and 180 =
  28. 28.HCF of 153 and 162 =
  29. 29.HCF of 120 and 56 =
  30. 30.HCF of 72 and 60 =
  31. 31.HCF of 12 and 90 =
  32. 32.HCF of 266 and 98 =
  33. 33.HCF of 84 and 133 =
  34. 34.HCF of 299 and 161 =
  35. 35.HCF of 33 and 60 =
  36. 36.HCF of 15 and 12 =
  37. 37.HCF of 180 and 99 =
  38. 38.HCF of 16 and 22 =
  39. 39.HCF of 27 and 51 =
  40. 40.HCF of 54 and 39 =

Answer key

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

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