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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 990 · 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 160 and 88 =
  2. 2.HCF of 198 and 286 =
  3. 3.HCF of 42 and 48 =
  4. 4.HCF of 28 and 52 =
  5. 5.HCF of 28 and 68 =
  6. 6.HCF of 119 and 85 =
  7. 7.HCF of 57 and 27 =
  8. 8.HCF of 26 and 91 =
  9. 9.HCF of 40 and 22 =
  10. 10.HCF of 408 and 360 =
  11. 11.HCF of 35 and 77 =
  12. 12.HCF of 180 and 80 =
  13. 13.HCF of 85 and 15 =
  14. 14.HCF of 400 and 340 =
  15. 15.HCF of 42 and 18 =
  16. 16.HCF of 119 and 34 =
  17. 17.HCF of 72 and 312 =
  18. 18.HCF of 286 and 220 =
  19. 19.HCF of 133 and 70 =
  20. 20.HCF of 75 and 100 =
  21. 21.HCF of 18 and 120 =
  22. 22.HCF of 272 and 144 =
  23. 23.HCF of 299 and 115 =
  24. 24.HCF of 450 and 425 =
  25. 25.HCF of 198 and 234 =
  26. 26.HCF of 437 and 368 =
  27. 27.HCF of 132 and 120 =
  28. 28.HCF of 312 and 48 =
  29. 29.HCF of 18 and 15 =
  30. 30.HCF of 72 and 112 =
  31. 31.HCF of 42 and 66 =
  32. 32.HCF of 42 and 90 =
  33. 33.HCF of 247 and 323 =
  34. 34.HCF of 42 and 39 =
  35. 35.HCF of 76 and 133 =
  36. 36.HCF of 66 and 96 =
  37. 37.HCF of 299 and 437 =
  38. 38.HCF of 55 and 45 =
  39. 39.HCF of 170 and 50 =
  40. 40.HCF of 32 and 56 =

Answer key

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

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