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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 504 · 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 42 and 120 =
  2. 2.HCF of 56 and 32 =
  3. 3.HCF of 65 and 182 =
  4. 4.HCF of 88 and 32 =
  5. 5.HCF of 81 and 45 =
  6. 6.HCF of 66 and 286 =
  7. 7.HCF of 192 and 156 =
  8. 8.HCF of 18 and 8 =
  9. 9.HCF of 72 and 264 =
  10. 10.HCF of 84 and 48 =
  11. 11.HCF of 90 and 50 =
  12. 12.HCF of 342 and 306 =
  13. 13.HCF of 88 and 121 =
  14. 14.HCF of 22 and 6 =
  15. 15.HCF of 21 and 112 =
  16. 16.HCF of 49 and 21 =
  17. 17.HCF of 208 and 272 =
  18. 18.HCF of 35 and 28 =
  19. 19.HCF of 46 and 69 =
  20. 20.HCF of 374 and 198 =
  21. 21.HCF of 81 and 72 =
  22. 22.HCF of 54 and 30 =
  23. 23.HCF of 110 and 143 =
  24. 24.HCF of 240 and 456 =
  25. 25.HCF of 288 and 126 =
  26. 26.HCF of 18 and 57 =
  27. 27.HCF of 32 and 12 =
  28. 28.HCF of 100 and 75 =
  29. 29.HCF of 34 and 36 =
  30. 30.HCF of 12 and 42 =
  31. 31.HCF of 91 and 133 =
  32. 32.HCF of 27 and 18 =
  33. 33.HCF of 253 and 276 =
  34. 34.HCF of 104 and 112 =
  35. 35.HCF of 45 and 165 =
  36. 36.HCF of 56 and 266 =
  37. 37.HCF of 91 and 56 =
  38. 38.HCF of 55 and 30 =
  39. 39.HCF of 77 and 91 =
  40. 40.HCF of 154 and 252 =

Answer key

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

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