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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 315 · 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 15 and 20 =
  2. 2.HCF of 162 and 288 =
  3. 3.HCF of 264 and 374 =
  4. 4.HCF of 299 and 368 =
  5. 5.HCF of 368 and 69 =
  6. 6.HCF of 40 and 96 =
  7. 7.HCF of 98 and 133 =
  8. 8.HCF of 51 and 24 =
  9. 9.HCF of 143 and 55 =
  10. 10.HCF of 91 and 26 =
  11. 11.HCF of 8 and 6 =
  12. 12.HCF of 345 and 161 =
  13. 13.HCF of 70 and 238 =
  14. 14.HCF of 84 and 24 =
  15. 15.HCF of 69 and 184 =
  16. 16.HCF of 247 and 156 =
  17. 17.HCF of 72 and 480 =
  18. 18.HCF of 24 and 51 =
  19. 19.HCF of 209 and 304 =
  20. 20.HCF of 66 and 286 =
  21. 21.HCF of 56 and 144 =
  22. 22.HCF of 275 and 150 =
  23. 23.HCF of 84 and 90 =
  24. 24.HCF of 125 and 150 =
  25. 25.HCF of 60 and 8 =
  26. 26.HCF of 247 and 380 =
  27. 27.HCF of 130 and 70 =
  28. 28.HCF of 105 and 126 =
  29. 29.HCF of 138 and 299 =
  30. 30.HCF of 63 and 117 =
  31. 31.HCF of 77 and 42 =
  32. 32.HCF of 85 and 221 =
  33. 33.HCF of 42 and 119 =
  34. 34.HCF of 45 and 95 =
  35. 35.HCF of 120 and 220 =
  36. 36.HCF of 252 and 70 =
  37. 37.HCF of 207 and 184 =
  38. 38.HCF of 44 and 24 =
  39. 39.HCF of 28 and 38 =
  40. 40.HCF of 192 and 120 =

Answer key

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

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