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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 692 · 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 28 and 44 =
  2. 2.HCF of 91 and 52 =
  3. 3.HCF of 22 and 26 =
  4. 4.HCF of 330 and 44 =
  5. 5.HCF of 240 and 75 =
  6. 6.HCF of 46 and 253 =
  7. 7.HCF of 39 and 9 =
  8. 8.HCF of 42 and 60 =
  9. 9.HCF of 126 and 70 =
  10. 10.HCF of 176 and 128 =
  11. 11.HCF of 400 and 125 =
  12. 12.HCF of 28 and 48 =
  13. 13.HCF of 84 and 48 =
  14. 14.HCF of 102 and 323 =
  15. 15.HCF of 18 and 39 =
  16. 16.HCF of 51 and 85 =
  17. 17.HCF of 12 and 8 =
  18. 18.HCF of 96 and 304 =
  19. 19.HCF of 72 and 117 =
  20. 20.HCF of 133 and 323 =
  21. 21.HCF of 57 and 24 =
  22. 22.HCF of 27 and 45 =
  23. 23.HCF of 357 and 84 =
  24. 24.HCF of 72 and 162 =
  25. 25.HCF of 288 and 342 =
  26. 26.HCF of 153 and 340 =
  27. 27.HCF of 24 and 78 =
  28. 28.HCF of 48 and 36 =
  29. 29.HCF of 28 and 35 =
  30. 30.HCF of 51 and 36 =
  31. 31.HCF of 112 and 88 =
  32. 32.HCF of 80 and 25 =
  33. 33.HCF of 132 and 228 =
  34. 34.HCF of 418 and 132 =
  35. 35.HCF of 247 and 208 =
  36. 36.HCF of 38 and 361 =
  37. 37.HCF of 60 and 156 =
  38. 38.HCF of 33 and 18 =
  39. 39.HCF of 156 and 24 =
  40. 40.HCF of 132 and 60 =

Answer key

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

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