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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 986 · 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 72 and 153 =
  2. 2.HCF of 156 and 143 =
  3. 3.HCF of 162 and 63 =
  4. 4.HCF of 475 and 300 =
  5. 5.HCF of 252 and 147 =
  6. 6.HCF of 136 and 72 =
  7. 7.HCF of 242 and 440 =
  8. 8.HCF of 105 and 150 =
  9. 9.HCF of 6 and 16 =
  10. 10.HCF of 154 and 56 =
  11. 11.HCF of 425 and 375 =
  12. 12.HCF of 54 and 48 =
  13. 13.HCF of 275 and 300 =
  14. 14.HCF of 22 and 40 =
  15. 15.HCF of 42 and 30 =
  16. 16.HCF of 110 and 60 =
  17. 17.HCF of 380 and 100 =
  18. 18.HCF of 138 and 391 =
  19. 19.HCF of 33 and 39 =
  20. 20.HCF of 18 and 12 =
  21. 21.HCF of 242 and 330 =
  22. 22.HCF of 26 and 12 =
  23. 23.HCF of 28 and 21 =
  24. 24.HCF of 76 and 32 =
  25. 25.HCF of 16 and 136 =
  26. 26.HCF of 160 and 90 =
  27. 27.HCF of 112 and 35 =
  28. 28.HCF of 88 and 330 =
  29. 29.HCF of 384 and 360 =
  30. 30.HCF of 10 and 36 =
  31. 31.HCF of 25 and 90 =
  32. 32.HCF of 60 and 75 =
  33. 33.HCF of 85 and 25 =
  34. 34.HCF of 150 and 80 =
  35. 35.HCF of 75 and 90 =
  36. 36.HCF of 40 and 136 =
  37. 37.HCF of 399 and 63 =
  38. 38.HCF of 190 and 361 =
  39. 39.HCF of 120 and 78 =
  40. 40.HCF of 255 and 165 =

Answer key

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

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