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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 609 · 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 84 and 105 =
  2. 2.HCF of 24 and 128 =
  3. 3.HCF of 136 and 221 =
  4. 4.HCF of 99 and 36 =
  5. 5.HCF of 30 and 160 =
  6. 6.HCF of 24 and 9 =
  7. 7.HCF of 77 and 133 =
  8. 8.HCF of 90 and 72 =
  9. 9.HCF of 64 and 112 =
  10. 10.HCF of 25 and 85 =
  11. 11.HCF of 500 and 425 =
  12. 12.HCF of 340 and 160 =
  13. 13.HCF of 253 and 69 =
  14. 14.HCF of 266 and 210 =
  15. 15.HCF of 176 and 154 =
  16. 16.HCF of 42 and 36 =
  17. 17.HCF of 15 and 12 =
  18. 18.HCF of 63 and 49 =
  19. 19.HCF of 238 and 153 =
  20. 20.HCF of 132 and 216 =
  21. 21.HCF of 65 and 30 =
  22. 22.HCF of 45 and 25 =
  23. 23.HCF of 312 and 144 =
  24. 24.HCF of 77 and 14 =
  25. 25.HCF of 140 and 120 =
  26. 26.HCF of 72 and 204 =
  27. 27.HCF of 480 and 408 =
  28. 28.HCF of 286 and 44 =
  29. 29.HCF of 280 and 42 =
  30. 30.HCF of 132 and 36 =
  31. 31.HCF of 55 and 99 =
  32. 32.HCF of 325 and 250 =
  33. 33.HCF of 70 and 238 =
  34. 34.HCF of 242 and 44 =
  35. 35.HCF of 182 and 238 =
  36. 36.HCF of 12 and 34 =
  37. 37.HCF of 14 and 20 =
  38. 38.HCF of 100 and 280 =
  39. 39.HCF of 54 and 306 =
  40. 40.HCF of 154 and 28 =

Answer key

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

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