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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 524 · 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 69 and 368 =
  2. 2.HCF of 72 and 30 =
  3. 3.HCF of 39 and 221 =
  4. 4.HCF of 75 and 475 =
  5. 5.HCF of 242 and 110 =
  6. 6.HCF of 144 and 90 =
  7. 7.HCF of 45 and 285 =
  8. 8.HCF of 72 and 132 =
  9. 9.HCF of 224 and 42 =
  10. 10.HCF of 289 and 136 =
  11. 11.HCF of 170 and 70 =
  12. 12.HCF of 60 and 51 =
  13. 13.HCF of 77 and 49 =
  14. 14.HCF of 63 and 90 =
  15. 15.HCF of 60 and 160 =
  16. 16.HCF of 105 and 255 =
  17. 17.HCF of 42 and 399 =
  18. 18.HCF of 32 and 112 =
  19. 19.HCF of 39 and 27 =
  20. 20.HCF of 168 and 216 =
  21. 21.HCF of 28 and 72 =
  22. 22.HCF of 33 and 57 =
  23. 23.HCF of 27 and 90 =
  24. 24.HCF of 55 and 60 =
  25. 25.HCF of 50 and 275 =
  26. 26.HCF of 247 and 266 =
  27. 27.HCF of 182 and 221 =
  28. 28.HCF of 55 and 66 =
  29. 29.HCF of 357 and 63 =
  30. 30.HCF of 44 and 8 =
  31. 31.HCF of 30 and 75 =
  32. 32.HCF of 361 and 133 =
  33. 33.HCF of 8 and 76 =
  34. 34.HCF of 225 and 195 =
  35. 35.HCF of 78 and 48 =
  36. 36.HCF of 192 and 168 =
  37. 37.HCF of 40 and 65 =
  38. 38.HCF of 300 and 40 =
  39. 39.HCF of 90 and 65 =
  40. 40.HCF of 264 and 374 =

Answer key

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

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