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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 971 · 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 312 and 72 =
  2. 2.HCF of 384 and 120 =
  3. 3.HCF of 57 and 45 =
  4. 4.HCF of 312 and 384 =
  5. 5.HCF of 425 and 150 =
  6. 6.HCF of 238 and 84 =
  7. 7.HCF of 36 and 14 =
  8. 8.HCF of 42 and 30 =
  9. 9.HCF of 285 and 180 =
  10. 10.HCF of 120 and 114 =
  11. 11.HCF of 44 and 12 =
  12. 12.HCF of 325 and 475 =
  13. 13.HCF of 65 and 80 =
  14. 14.HCF of 225 and 50 =
  15. 15.HCF of 78 and 108 =
  16. 16.HCF of 165 and 255 =
  17. 17.HCF of 96 and 102 =
  18. 18.HCF of 190 and 171 =
  19. 19.HCF of 100 and 65 =
  20. 20.HCF of 56 and 35 =
  21. 21.HCF of 40 and 140 =
  22. 22.HCF of 289 and 340 =
  23. 23.HCF of 125 and 175 =
  24. 24.HCF of 264 and 154 =
  25. 25.HCF of 39 and 247 =
  26. 26.HCF of 209 and 55 =
  27. 27.HCF of 44 and 418 =
  28. 28.HCF of 91 and 117 =
  29. 29.HCF of 320 and 48 =
  30. 30.HCF of 35 and 14 =
  31. 31.HCF of 238 and 85 =
  32. 32.HCF of 42 and 18 =
  33. 33.HCF of 234 and 143 =
  34. 34.HCF of 80 and 224 =
  35. 35.HCF of 26 and 143 =
  36. 36.HCF of 460 and 299 =
  37. 37.HCF of 76 and 56 =
  38. 38.HCF of 35 and 77 =
  39. 39.HCF of 224 and 70 =
  40. 40.HCF of 135 and 36 =

Answer key

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

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