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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 635 · 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 294 and 63 =
  2. 2.HCF of 33 and 27 =
  3. 3.HCF of 21 and 24 =
  4. 4.HCF of 375 and 325 =
  5. 5.HCF of 70 and 65 =
  6. 6.HCF of 126 and 216 =
  7. 7.HCF of 400 and 225 =
  8. 8.HCF of 22 and 28 =
  9. 9.HCF of 180 and 156 =
  10. 10.HCF of 200 and 340 =
  11. 11.HCF of 91 and 26 =
  12. 12.HCF of 42 and 91 =
  13. 13.HCF of 64 and 12 =
  14. 14.HCF of 240 and 220 =
  15. 15.HCF of 12 and 76 =
  16. 16.HCF of 27 and 21 =
  17. 17.HCF of 77 and 91 =
  18. 18.HCF of 300 and 125 =
  19. 19.HCF of 288 and 270 =
  20. 20.HCF of 184 and 299 =
  21. 21.HCF of 45 and 6 =
  22. 22.HCF of 55 and 44 =
  23. 23.HCF of 55 and 22 =
  24. 24.HCF of 391 and 460 =
  25. 25.HCF of 20 and 36 =
  26. 26.HCF of 63 and 42 =
  27. 27.HCF of 28 and 34 =
  28. 28.HCF of 20 and 25 =
  29. 29.HCF of 135 and 285 =
  30. 30.HCF of 180 and 40 =
  31. 31.HCF of 18 and 63 =
  32. 32.HCF of 399 and 420 =
  33. 33.HCF of 152 and 32 =
  34. 34.HCF of 360 and 260 =
  35. 35.HCF of 28 and 72 =
  36. 36.HCF of 208 and 224 =
  37. 37.HCF of 253 and 322 =
  38. 38.HCF of 300 and 195 =
  39. 39.HCF of 165 and 77 =
  40. 40.HCF of 25 and 45 =

Answer key

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

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