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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 272 · 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 88 and 198 =
  2. 2.HCF of 70 and 160 =
  3. 3.HCF of 30 and 65 =
  4. 4.HCF of 64 and 120 =
  5. 5.HCF of 247 and 39 =
  6. 6.HCF of 42 and 24 =
  7. 7.HCF of 27 and 117 =
  8. 8.HCF of 105 and 28 =
  9. 9.HCF of 144 and 162 =
  10. 10.HCF of 10 and 8 =
  11. 11.HCF of 42 and 33 =
  12. 12.HCF of 256 and 48 =
  13. 13.HCF of 39 and 143 =
  14. 14.HCF of 162 and 99 =
  15. 15.HCF of 48 and 456 =
  16. 16.HCF of 153 and 34 =
  17. 17.HCF of 168 and 204 =
  18. 18.HCF of 400 and 275 =
  19. 19.HCF of 38 and 30 =
  20. 20.HCF of 400 and 175 =
  21. 21.HCF of 56 and 21 =
  22. 22.HCF of 187 and 136 =
  23. 23.HCF of 136 and 24 =
  24. 24.HCF of 440 and 154 =
  25. 25.HCF of 80 and 60 =
  26. 26.HCF of 152 and 32 =
  27. 27.HCF of 42 and 72 =
  28. 28.HCF of 162 and 288 =
  29. 29.HCF of 66 and 374 =
  30. 30.HCF of 114 and 72 =
  31. 31.HCF of 6 and 4 =
  32. 32.HCF of 391 and 230 =
  33. 33.HCF of 56 and 60 =
  34. 34.HCF of 42 and 54 =
  35. 35.HCF of 110 and 187 =
  36. 36.HCF of 24 and 57 =
  37. 37.HCF of 117 and 162 =
  38. 38.HCF of 228 and 156 =
  39. 39.HCF of 150 and 40 =
  40. 40.HCF of 288 and 90 =

Answer key

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

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