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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 386 · 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 51 and 33 =
  2. 2.HCF of 63 and 135 =
  3. 3.HCF of 4 and 38 =
  4. 4.HCF of 32 and 120 =
  5. 5.HCF of 24 and 128 =
  6. 6.HCF of 102 and 18 =
  7. 7.HCF of 288 and 168 =
  8. 8.HCF of 57 and 48 =
  9. 9.HCF of 228 and 72 =
  10. 10.HCF of 133 and 247 =
  11. 11.HCF of 72 and 45 =
  12. 12.HCF of 39 and 24 =
  13. 13.HCF of 70 and 21 =
  14. 14.HCF of 480 and 312 =
  15. 15.HCF of 68 and 119 =
  16. 16.HCF of 190 and 170 =
  17. 17.HCF of 66 and 418 =
  18. 18.HCF of 44 and 28 =
  19. 19.HCF of 220 and 143 =
  20. 20.HCF of 34 and 4 =
  21. 21.HCF of 204 and 156 =
  22. 22.HCF of 306 and 360 =
  23. 23.HCF of 80 and 28 =
  24. 24.HCF of 110 and 132 =
  25. 25.HCF of 120 and 408 =
  26. 26.HCF of 204 and 36 =
  27. 27.HCF of 187 and 77 =
  28. 28.HCF of 52 and 65 =
  29. 29.HCF of 144 and 126 =
  30. 30.HCF of 85 and 102 =
  31. 31.HCF of 4 and 38 =
  32. 32.HCF of 42 and 105 =
  33. 33.HCF of 80 and 68 =
  34. 34.HCF of 70 and 190 =
  35. 35.HCF of 161 and 115 =
  36. 36.HCF of 90 and 160 =
  37. 37.HCF of 126 and 49 =
  38. 38.HCF of 323 and 221 =
  39. 39.HCF of 169 and 234 =
  40. 40.HCF of 51 and 15 =

Answer key

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

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