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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 335 · 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 95 and 152 =
  2. 2.HCF of 280 and 238 =
  3. 3.HCF of 18 and 57 =
  4. 4.HCF of 63 and 112 =
  5. 5.HCF of 70 and 252 =
  6. 6.HCF of 30 and 57 =
  7. 7.HCF of 30 and 36 =
  8. 8.HCF of 40 and 300 =
  9. 9.HCF of 72 and 80 =
  10. 10.HCF of 90 and 126 =
  11. 11.HCF of 255 and 285 =
  12. 12.HCF of 92 and 299 =
  13. 13.HCF of 60 and 285 =
  14. 14.HCF of 195 and 143 =
  15. 15.HCF of 36 and 22 =
  16. 16.HCF of 225 and 50 =
  17. 17.HCF of 34 and 221 =
  18. 18.HCF of 108 and 60 =
  19. 19.HCF of 136 and 128 =
  20. 20.HCF of 288 and 112 =
  21. 21.HCF of 42 and 18 =
  22. 22.HCF of 49 and 105 =
  23. 23.HCF of 65 and 25 =
  24. 24.HCF of 50 and 110 =
  25. 25.HCF of 160 and 150 =
  26. 26.HCF of 208 and 144 =
  27. 27.HCF of 44 and 198 =
  28. 28.HCF of 18 and 27 =
  29. 29.HCF of 36 and 42 =
  30. 30.HCF of 38 and 24 =
  31. 31.HCF of 323 and 51 =
  32. 32.HCF of 85 and 45 =
  33. 33.HCF of 91 and 98 =
  34. 34.HCF of 60 and 110 =
  35. 35.HCF of 36 and 90 =
  36. 36.HCF of 110 and 190 =
  37. 37.HCF of 50 and 170 =
  38. 38.HCF of 170 and 70 =
  39. 39.HCF of 90 and 160 =
  40. 40.HCF of 70 and 160 =

Answer key

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

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