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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 843 · 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 12 and 102 =
  2. 2.HCF of 64 and 48 =
  3. 3.HCF of 126 and 144 =
  4. 4.HCF of 126 and 171 =
  5. 5.HCF of 322 and 207 =
  6. 6.HCF of 136 and 32 =
  7. 7.HCF of 55 and 77 =
  8. 8.HCF of 456 and 360 =
  9. 9.HCF of 125 and 475 =
  10. 10.HCF of 104 and 39 =
  11. 11.HCF of 76 and 20 =
  12. 12.HCF of 28 and 49 =
  13. 13.HCF of 56 and 48 =
  14. 14.HCF of 120 and 72 =
  15. 15.HCF of 117 and 18 =
  16. 16.HCF of 92 and 207 =
  17. 17.HCF of 55 and 75 =
  18. 18.HCF of 360 and 312 =
  19. 19.HCF of 76 and 80 =
  20. 20.HCF of 16 and 76 =
  21. 21.HCF of 60 and 39 =
  22. 22.HCF of 6 and 34 =
  23. 23.HCF of 76 and 57 =
  24. 24.HCF of 228 and 240 =
  25. 25.HCF of 65 and 30 =
  26. 26.HCF of 192 and 204 =
  27. 27.HCF of 286 and 220 =
  28. 28.HCF of 399 and 126 =
  29. 29.HCF of 115 and 253 =
  30. 30.HCF of 8 and 30 =
  31. 31.HCF of 28 and 52 =
  32. 32.HCF of 18 and 57 =
  33. 33.HCF of 198 and 209 =
  34. 34.HCF of 52 and 12 =
  35. 35.HCF of 28 and 36 =
  36. 36.HCF of 33 and 45 =
  37. 37.HCF of 133 and 323 =
  38. 38.HCF of 120 and 340 =
  39. 39.HCF of 20 and 68 =
  40. 40.HCF of 180 and 160 =

Answer key

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

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