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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 321 · 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 456 and 312 =
  2. 2.HCF of 48 and 112 =
  3. 3.HCF of 91 and 14 =
  4. 4.HCF of 18 and 38 =
  5. 5.HCF of 312 and 144 =
  6. 6.HCF of 180 and 320 =
  7. 7.HCF of 28 and 77 =
  8. 8.HCF of 24 and 132 =
  9. 9.HCF of 391 and 69 =
  10. 10.HCF of 60 and 52 =
  11. 11.HCF of 117 and 130 =
  12. 12.HCF of 242 and 44 =
  13. 13.HCF of 272 and 192 =
  14. 14.HCF of 228 and 48 =
  15. 15.HCF of 153 and 90 =
  16. 16.HCF of 368 and 207 =
  17. 17.HCF of 112 and 64 =
  18. 18.HCF of 140 and 120 =
  19. 19.HCF of 400 and 225 =
  20. 20.HCF of 48 and 9 =
  21. 21.HCF of 91 and 21 =
  22. 22.HCF of 88 and 64 =
  23. 23.HCF of 117 and 130 =
  24. 24.HCF of 253 and 92 =
  25. 25.HCF of 266 and 28 =
  26. 26.HCF of 112 and 35 =
  27. 27.HCF of 45 and 81 =
  28. 28.HCF of 114 and 66 =
  29. 29.HCF of 306 and 119 =
  30. 30.HCF of 180 and 70 =
  31. 31.HCF of 325 and 50 =
  32. 32.HCF of 45 and 240 =
  33. 33.HCF of 24 and 156 =
  34. 34.HCF of 121 and 154 =
  35. 35.HCF of 456 and 216 =
  36. 36.HCF of 45 and 99 =
  37. 37.HCF of 272 and 64 =
  38. 38.HCF of 260 and 400 =
  39. 39.HCF of 147 and 168 =
  40. 40.HCF of 72 and 44 =

Answer key

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

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