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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 63 · 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 104 and 65 =
  2. 2.HCF of 14 and 38 =
  3. 3.HCF of 18 and 28 =
  4. 4.HCF of 36 and 306 =
  5. 5.HCF of 209 and 176 =
  6. 6.HCF of 84 and 231 =
  7. 7.HCF of 4 and 18 =
  8. 8.HCF of 40 and 128 =
  9. 9.HCF of 12 and 33 =
  10. 10.HCF of 204 and 108 =
  11. 11.HCF of 260 and 40 =
  12. 12.HCF of 133 and 91 =
  13. 13.HCF of 18 and 102 =
  14. 14.HCF of 56 and 126 =
  15. 15.HCF of 22 and 12 =
  16. 16.HCF of 252 and 98 =
  17. 17.HCF of 24 and 156 =
  18. 18.HCF of 22 and 26 =
  19. 19.HCF of 77 and 35 =
  20. 20.HCF of 176 and 224 =
  21. 21.HCF of 104 and 72 =
  22. 22.HCF of 228 and 216 =
  23. 23.HCF of 96 and 208 =
  24. 24.HCF of 16 and 20 =
  25. 25.HCF of 72 and 228 =
  26. 26.HCF of 130 and 247 =
  27. 27.HCF of 375 and 325 =
  28. 28.HCF of 136 and 120 =
  29. 29.HCF of 115 and 437 =
  30. 30.HCF of 42 and 39 =
  31. 31.HCF of 32 and 120 =
  32. 32.HCF of 70 and 180 =
  33. 33.HCF of 30 and 36 =
  34. 34.HCF of 56 and 70 =
  35. 35.HCF of 286 and 66 =
  36. 36.HCF of 300 and 105 =
  37. 37.HCF of 8 and 20 =
  38. 38.HCF of 117 and 54 =
  39. 39.HCF of 378 and 357 =
  40. 40.HCF of 6 and 15 =

Answer key

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

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