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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 469 · 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 361 and 247 =
  2. 2.HCF of 176 and 272 =
  3. 3.HCF of 208 and 128 =
  4. 4.HCF of 100 and 120 =
  5. 5.HCF of 25 and 35 =
  6. 6.HCF of 247 and 171 =
  7. 7.HCF of 375 and 200 =
  8. 8.HCF of 55 and 85 =
  9. 9.HCF of 85 and 80 =
  10. 10.HCF of 52 and 32 =
  11. 11.HCF of 204 and 60 =
  12. 12.HCF of 120 and 380 =
  13. 13.HCF of 45 and 255 =
  14. 14.HCF of 48 and 108 =
  15. 15.HCF of 70 and 56 =
  16. 16.HCF of 304 and 48 =
  17. 17.HCF of 68 and 36 =
  18. 18.HCF of 117 and 72 =
  19. 19.HCF of 460 and 69 =
  20. 20.HCF of 95 and 57 =
  21. 21.HCF of 240 and 456 =
  22. 22.HCF of 138 and 115 =
  23. 23.HCF of 52 and 24 =
  24. 24.HCF of 32 and 6 =
  25. 25.HCF of 85 and 90 =
  26. 26.HCF of 75 and 50 =
  27. 27.HCF of 48 and 18 =
  28. 28.HCF of 170 and 30 =
  29. 29.HCF of 95 and 304 =
  30. 30.HCF of 51 and 34 =
  31. 31.HCF of 48 and 60 =
  32. 32.HCF of 57 and 39 =
  33. 33.HCF of 380 and 140 =
  34. 34.HCF of 48 and 88 =
  35. 35.HCF of 104 and 160 =
  36. 36.HCF of 500 and 325 =
  37. 37.HCF of 76 and 8 =
  38. 38.HCF of 72 and 27 =
  39. 39.HCF of 38 and 4 =
  40. 40.HCF of 285 and 76 =

Answer key

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

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