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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 199 · 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 34 and 10 =
  2. 2.HCF of 76 and 36 =
  3. 3.HCF of 414 and 391 =
  4. 4.HCF of 30 and 85 =
  5. 5.HCF of 112 and 160 =
  6. 6.HCF of 14 and 10 =
  7. 7.HCF of 95 and 25 =
  8. 8.HCF of 76 and 133 =
  9. 9.HCF of 55 and 77 =
  10. 10.HCF of 21 and 70 =
  11. 11.HCF of 220 and 380 =
  12. 12.HCF of 330 and 154 =
  13. 13.HCF of 24 and 66 =
  14. 14.HCF of 26 and 12 =
  15. 15.HCF of 32 and 68 =
  16. 16.HCF of 220 and 99 =
  17. 17.HCF of 44 and 374 =
  18. 18.HCF of 275 and 100 =
  19. 19.HCF of 112 and 176 =
  20. 20.HCF of 418 and 352 =
  21. 21.HCF of 136 and 221 =
  22. 22.HCF of 234 and 108 =
  23. 23.HCF of 138 and 391 =
  24. 24.HCF of 165 and 176 =
  25. 25.HCF of 30 and 25 =
  26. 26.HCF of 12 and 28 =
  27. 27.HCF of 147 and 231 =
  28. 28.HCF of 475 and 425 =
  29. 29.HCF of 99 and 90 =
  30. 30.HCF of 425 and 125 =
  31. 31.HCF of 120 and 108 =
  32. 32.HCF of 102 and 48 =
  33. 33.HCF of 114 and 60 =
  34. 34.HCF of 308 and 418 =
  35. 35.HCF of 117 and 171 =
  36. 36.HCF of 132 and 24 =
  37. 37.HCF of 42 and 33 =
  38. 38.HCF of 190 and 30 =
  39. 39.HCF of 40 and 18 =
  40. 40.HCF of 42 and 24 =

Answer key

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

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