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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 811 · 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 49 and 35 =
  2. 2.HCF of 10 and 12 =
  3. 3.HCF of 180 and 228 =
  4. 4.HCF of 35 and 60 =
  5. 5.HCF of 184 and 69 =
  6. 6.HCF of 40 and 85 =
  7. 7.HCF of 200 and 220 =
  8. 8.HCF of 21 and 119 =
  9. 9.HCF of 126 and 27 =
  10. 10.HCF of 18 and 66 =
  11. 11.HCF of 231 and 378 =
  12. 12.HCF of 105 and 45 =
  13. 13.HCF of 18 and 24 =
  14. 14.HCF of 36 and 126 =
  15. 15.HCF of 231 and 84 =
  16. 16.HCF of 72 and 136 =
  17. 17.HCF of 63 and 133 =
  18. 18.HCF of 48 and 132 =
  19. 19.HCF of 20 and 35 =
  20. 20.HCF of 30 and 78 =
  21. 21.HCF of 128 and 240 =
  22. 22.HCF of 18 and 14 =
  23. 23.HCF of 75 and 275 =
  24. 24.HCF of 312 and 120 =
  25. 25.HCF of 4 and 22 =
  26. 26.HCF of 180 and 63 =
  27. 27.HCF of 72 and 198 =
  28. 28.HCF of 63 and 36 =
  29. 29.HCF of 16 and 24 =
  30. 30.HCF of 33 and 9 =
  31. 31.HCF of 27 and 42 =
  32. 32.HCF of 14 and 91 =
  33. 33.HCF of 320 and 176 =
  34. 34.HCF of 66 and 77 =
  35. 35.HCF of 80 and 100 =
  36. 36.HCF of 56 and 88 =
  37. 37.HCF of 6 and 16 =
  38. 38.HCF of 54 and 96 =
  39. 39.HCF of 90 and 24 =
  40. 40.HCF of 38 and 40 =

Answer key

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

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