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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 174 · 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 119 and 112 =
  2. 2.HCF of 184 and 391 =
  3. 3.HCF of 88 and 128 =
  4. 4.HCF of 156 and 144 =
  5. 5.HCF of 10 and 16 =
  6. 6.HCF of 255 and 238 =
  7. 7.HCF of 336 and 105 =
  8. 8.HCF of 80 and 130 =
  9. 9.HCF of 126 and 144 =
  10. 10.HCF of 161 and 368 =
  11. 11.HCF of 120 and 54 =
  12. 12.HCF of 247 and 65 =
  13. 13.HCF of 208 and 96 =
  14. 14.HCF of 128 and 176 =
  15. 15.HCF of 120 and 72 =
  16. 16.HCF of 104 and 39 =
  17. 17.HCF of 15 and 70 =
  18. 18.HCF of 120 and 336 =
  19. 19.HCF of 144 and 56 =
  20. 20.HCF of 100 and 75 =
  21. 21.HCF of 24 and 60 =
  22. 22.HCF of 119 and 68 =
  23. 23.HCF of 27 and 57 =
  24. 24.HCF of 182 and 84 =
  25. 25.HCF of 6 and 4 =
  26. 26.HCF of 28 and 6 =
  27. 27.HCF of 144 and 264 =
  28. 28.HCF of 320 and 48 =
  29. 29.HCF of 272 and 289 =
  30. 30.HCF of 400 and 425 =
  31. 31.HCF of 22 and 20 =
  32. 32.HCF of 68 and 16 =
  33. 33.HCF of 126 and 54 =
  34. 34.HCF of 35 and 91 =
  35. 35.HCF of 315 and 231 =
  36. 36.HCF of 12 and 32 =
  37. 37.HCF of 12 and 33 =
  38. 38.HCF of 14 and 4 =
  39. 39.HCF of 384 and 312 =
  40. 40.HCF of 437 and 230 =

Answer key

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

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