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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 110 · 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 64 and 12 =
  2. 2.HCF of 135 and 120 =
  3. 3.HCF of 100 and 15 =
  4. 4.HCF of 161 and 46 =
  5. 5.HCF of 20 and 110 =
  6. 6.HCF of 24 and 15 =
  7. 7.HCF of 135 and 126 =
  8. 8.HCF of 255 and 75 =
  9. 9.HCF of 35 and 56 =
  10. 10.HCF of 42 and 114 =
  11. 11.HCF of 48 and 114 =
  12. 12.HCF of 90 and 195 =
  13. 13.HCF of 187 and 119 =
  14. 14.HCF of 120 and 45 =
  15. 15.HCF of 144 and 270 =
  16. 16.HCF of 221 and 78 =
  17. 17.HCF of 40 and 26 =
  18. 18.HCF of 120 and 195 =
  19. 19.HCF of 72 and 156 =
  20. 20.HCF of 253 and 299 =
  21. 21.HCF of 34 and 36 =
  22. 22.HCF of 110 and 88 =
  23. 23.HCF of 247 and 156 =
  24. 24.HCF of 100 and 125 =
  25. 25.HCF of 49 and 63 =
  26. 26.HCF of 289 and 272 =
  27. 27.HCF of 72 and 114 =
  28. 28.HCF of 33 and 187 =
  29. 29.HCF of 45 and 10 =
  30. 30.HCF of 63 and 42 =
  31. 31.HCF of 54 and 99 =
  32. 32.HCF of 35 and 25 =
  33. 33.HCF of 68 and 64 =
  34. 34.HCF of 30 and 170 =
  35. 35.HCF of 95 and 114 =
  36. 36.HCF of 65 and 91 =
  37. 37.HCF of 120 and 340 =
  38. 38.HCF of 272 and 144 =
  39. 39.HCF of 66 and 36 =
  40. 40.HCF of 76 and 361 =

Answer key

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

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