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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 3 · 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 25 and 20 =
  2. 2.HCF of 165 and 77 =
  3. 3.HCF of 15 and 48 =
  4. 4.HCF of 63 and 90 =
  5. 5.HCF of 450 and 275 =
  6. 6.HCF of 95 and 38 =
  7. 7.HCF of 39 and 12 =
  8. 8.HCF of 20 and 64 =
  9. 9.HCF of 255 and 68 =
  10. 10.HCF of 104 and 221 =
  11. 11.HCF of 216 and 306 =
  12. 12.HCF of 150 and 125 =
  13. 13.HCF of 52 and 195 =
  14. 14.HCF of 84 and 315 =
  15. 15.HCF of 115 and 92 =
  16. 16.HCF of 42 and 238 =
  17. 17.HCF of 20 and 55 =
  18. 18.HCF of 432 and 456 =
  19. 19.HCF of 16 and 120 =
  20. 20.HCF of 360 and 380 =
  21. 21.HCF of 99 and 54 =
  22. 22.HCF of 36 and 24 =
  23. 23.HCF of 25 and 85 =
  24. 24.HCF of 72 and 56 =
  25. 25.HCF of 304 and 171 =
  26. 26.HCF of 21 and 36 =
  27. 27.HCF of 195 and 45 =
  28. 28.HCF of 120 and 192 =
  29. 29.HCF of 207 and 253 =
  30. 30.HCF of 120 and 220 =
  31. 31.HCF of 50 and 95 =
  32. 32.HCF of 84 and 144 =
  33. 33.HCF of 63 and 336 =
  34. 34.HCF of 225 and 100 =
  35. 35.HCF of 220 and 80 =
  36. 36.HCF of 198 and 90 =
  37. 37.HCF of 36 and 81 =
  38. 38.HCF of 51 and 57 =
  39. 39.HCF of 12 and 51 =
  40. 40.HCF of 136 and 119 =

Answer key

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

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