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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 413 · 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 162 and 288 =
  2. 2.HCF of 195 and 165 =
  3. 3.HCF of 273 and 399 =
  4. 4.HCF of 125 and 325 =
  5. 5.HCF of 12 and 28 =
  6. 6.HCF of 45 and 150 =
  7. 7.HCF of 77 and 42 =
  8. 8.HCF of 160 and 304 =
  9. 9.HCF of 72 and 264 =
  10. 10.HCF of 361 and 171 =
  11. 11.HCF of 42 and 280 =
  12. 12.HCF of 100 and 125 =
  13. 13.HCF of 38 and 6 =
  14. 14.HCF of 102 and 114 =
  15. 15.HCF of 36 and 48 =
  16. 16.HCF of 100 and 40 =
  17. 17.HCF of 98 and 133 =
  18. 18.HCF of 100 and 260 =
  19. 19.HCF of 320 and 272 =
  20. 20.HCF of 100 and 240 =
  21. 21.HCF of 22 and 33 =
  22. 22.HCF of 55 and 77 =
  23. 23.HCF of 49 and 77 =
  24. 24.HCF of 36 and 120 =
  25. 25.HCF of 437 and 391 =
  26. 26.HCF of 24 and 18 =
  27. 27.HCF of 30 and 8 =
  28. 28.HCF of 85 and 221 =
  29. 29.HCF of 48 and 272 =
  30. 30.HCF of 20 and 190 =
  31. 31.HCF of 50 and 120 =
  32. 32.HCF of 120 and 110 =
  33. 33.HCF of 48 and 15 =
  34. 34.HCF of 315 and 42 =
  35. 35.HCF of 255 and 323 =
  36. 36.HCF of 418 and 396 =
  37. 37.HCF of 40 and 65 =
  38. 38.HCF of 36 and 10 =
  39. 39.HCF of 76 and 171 =
  40. 40.HCF of 55 and 132 =

Answer key

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

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