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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 599 · 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 26 and 39 =
  2. 2.HCF of 289 and 68 =
  3. 3.HCF of 380 and 160 =
  4. 4.HCF of 72 and 132 =
  5. 5.HCF of 96 and 104 =
  6. 6.HCF of 152 and 247 =
  7. 7.HCF of 42 and 120 =
  8. 8.HCF of 36 and 14 =
  9. 9.HCF of 231 and 42 =
  10. 10.HCF of 45 and 85 =
  11. 11.HCF of 136 and 51 =
  12. 12.HCF of 70 and 65 =
  13. 13.HCF of 90 and 108 =
  14. 14.HCF of 104 and 56 =
  15. 15.HCF of 12 and 38 =
  16. 16.HCF of 105 and 49 =
  17. 17.HCF of 170 and 80 =
  18. 18.HCF of 133 and 84 =
  19. 19.HCF of 136 and 187 =
  20. 20.HCF of 102 and 221 =
  21. 21.HCF of 39 and 42 =
  22. 22.HCF of 14 and 8 =
  23. 23.HCF of 114 and 361 =
  24. 24.HCF of 138 and 115 =
  25. 25.HCF of 20 and 50 =
  26. 26.HCF of 42 and 36 =
  27. 27.HCF of 70 and 238 =
  28. 28.HCF of 162 and 117 =
  29. 29.HCF of 108 and 114 =
  30. 30.HCF of 77 and 49 =
  31. 31.HCF of 273 and 231 =
  32. 32.HCF of 80 and 64 =
  33. 33.HCF of 285 and 90 =
  34. 34.HCF of 34 and 51 =
  35. 35.HCF of 130 and 200 =
  36. 36.HCF of 45 and 210 =
  37. 37.HCF of 120 and 432 =
  38. 38.HCF of 20 and 25 =
  39. 39.HCF of 200 and 220 =
  40. 40.HCF of 60 and 72 =

Answer key

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

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