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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 816 · 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 18 and 51 =
  2. 2.HCF of 189 and 210 =
  3. 3.HCF of 56 and 12 =
  4. 4.HCF of 100 and 325 =
  5. 5.HCF of 187 and 66 =
  6. 6.HCF of 28 and 42 =
  7. 7.HCF of 80 and 176 =
  8. 8.HCF of 76 and 171 =
  9. 9.HCF of 154 and 330 =
  10. 10.HCF of 425 and 450 =
  11. 11.HCF of 72 and 480 =
  12. 12.HCF of 210 and 112 =
  13. 13.HCF of 77 and 121 =
  14. 14.HCF of 299 and 161 =
  15. 15.HCF of 15 and 24 =
  16. 16.HCF of 95 and 30 =
  17. 17.HCF of 115 and 322 =
  18. 18.HCF of 200 and 75 =
  19. 19.HCF of 184 and 115 =
  20. 20.HCF of 48 and 90 =
  21. 21.HCF of 360 and 162 =
  22. 22.HCF of 300 and 45 =
  23. 23.HCF of 126 and 306 =
  24. 24.HCF of 42 and 49 =
  25. 25.HCF of 9 and 42 =
  26. 26.HCF of 15 and 20 =
  27. 27.HCF of 161 and 46 =
  28. 28.HCF of 102 and 12 =
  29. 29.HCF of 253 and 414 =
  30. 30.HCF of 156 and 168 =
  31. 31.HCF of 84 and 54 =
  32. 32.HCF of 42 and 35 =
  33. 33.HCF of 42 and 119 =
  34. 34.HCF of 152 and 171 =
  35. 35.HCF of 44 and 374 =
  36. 36.HCF of 81 and 36 =
  37. 37.HCF of 125 and 175 =
  38. 38.HCF of 126 and 98 =
  39. 39.HCF of 36 and 33 =
  40. 40.HCF of 4 and 14 =

Answer key

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

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