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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 752 · 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 336 and 399 =
  2. 2.HCF of 30 and 14 =
  3. 3.HCF of 51 and 9 =
  4. 4.HCF of 75 and 250 =
  5. 5.HCF of 208 and 39 =
  6. 6.HCF of 12 and 26 =
  7. 7.HCF of 216 and 264 =
  8. 8.HCF of 154 and 168 =
  9. 9.HCF of 95 and 30 =
  10. 10.HCF of 16 and 12 =
  11. 11.HCF of 57 and 12 =
  12. 12.HCF of 36 and 8 =
  13. 13.HCF of 78 and 36 =
  14. 14.HCF of 250 and 175 =
  15. 15.HCF of 184 and 69 =
  16. 16.HCF of 90 and 153 =
  17. 17.HCF of 48 and 33 =
  18. 18.HCF of 39 and 91 =
  19. 19.HCF of 91 and 77 =
  20. 20.HCF of 40 and 52 =
  21. 21.HCF of 144 and 90 =
  22. 22.HCF of 456 and 288 =
  23. 23.HCF of 361 and 114 =
  24. 24.HCF of 315 and 42 =
  25. 25.HCF of 342 and 288 =
  26. 26.HCF of 90 and 65 =
  27. 27.HCF of 126 and 399 =
  28. 28.HCF of 120 and 16 =
  29. 29.HCF of 60 and 285 =
  30. 30.HCF of 216 and 456 =
  31. 31.HCF of 39 and 52 =
  32. 32.HCF of 156 and 91 =
  33. 33.HCF of 121 and 88 =
  34. 34.HCF of 64 and 52 =
  35. 35.HCF of 70 and 224 =
  36. 36.HCF of 120 and 96 =
  37. 37.HCF of 182 and 169 =
  38. 38.HCF of 136 and 104 =
  39. 39.HCF of 110 and 88 =
  40. 40.HCF of 121 and 132 =

Answer key

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

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