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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 130 · 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 90 and 165 =
  2. 2.HCF of 120 and 108 =
  3. 3.HCF of 136 and 64 =
  4. 4.HCF of 180 and 130 =
  5. 5.HCF of 187 and 154 =
  6. 6.HCF of 110 and 396 =
  7. 7.HCF of 136 and 64 =
  8. 8.HCF of 126 and 81 =
  9. 9.HCF of 220 and 99 =
  10. 10.HCF of 108 and 66 =
  11. 11.HCF of 50 and 85 =
  12. 12.HCF of 40 and 85 =
  13. 13.HCF of 152 and 72 =
  14. 14.HCF of 120 and 128 =
  15. 15.HCF of 128 and 48 =
  16. 16.HCF of 28 and 44 =
  17. 17.HCF of 75 and 270 =
  18. 18.HCF of 209 and 285 =
  19. 19.HCF of 92 and 161 =
  20. 20.HCF of 140 and 240 =
  21. 21.HCF of 91 and 56 =
  22. 22.HCF of 51 and 30 =
  23. 23.HCF of 130 and 117 =
  24. 24.HCF of 168 and 63 =
  25. 25.HCF of 54 and 126 =
  26. 26.HCF of 119 and 28 =
  27. 27.HCF of 374 and 132 =
  28. 28.HCF of 208 and 91 =
  29. 29.HCF of 130 and 50 =
  30. 30.HCF of 238 and 56 =
  31. 31.HCF of 28 and 77 =
  32. 32.HCF of 21 and 30 =
  33. 33.HCF of 72 and 54 =
  34. 34.HCF of 70 and 112 =
  35. 35.HCF of 187 and 272 =
  36. 36.HCF of 180 and 63 =
  37. 37.HCF of 154 and 126 =
  38. 38.HCF of 110 and 40 =
  39. 39.HCF of 34 and 20 =
  40. 40.HCF of 14 and 38 =

Answer key

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

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