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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 159 · 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 39 =
  2. 2.HCF of 60 and 55 =
  3. 3.HCF of 20 and 55 =
  4. 4.HCF of 105 and 30 =
  5. 5.HCF of 66 and 220 =
  6. 6.HCF of 130 and 20 =
  7. 7.HCF of 48 and 76 =
  8. 8.HCF of 40 and 75 =
  9. 9.HCF of 36 and 33 =
  10. 10.HCF of 114 and 133 =
  11. 11.HCF of 169 and 65 =
  12. 12.HCF of 84 and 96 =
  13. 13.HCF of 391 and 207 =
  14. 14.HCF of 264 and 168 =
  15. 15.HCF of 150 and 110 =
  16. 16.HCF of 187 and 272 =
  17. 17.HCF of 54 and 84 =
  18. 18.HCF of 63 and 45 =
  19. 19.HCF of 115 and 46 =
  20. 20.HCF of 240 and 228 =
  21. 21.HCF of 192 and 72 =
  22. 22.HCF of 175 and 100 =
  23. 23.HCF of 144 and 456 =
  24. 24.HCF of 38 and 361 =
  25. 25.HCF of 10 and 25 =
  26. 26.HCF of 264 and 154 =
  27. 27.HCF of 51 and 33 =
  28. 28.HCF of 45 and 105 =
  29. 29.HCF of 132 and 180 =
  30. 30.HCF of 170 and 150 =
  31. 31.HCF of 21 and 18 =
  32. 32.HCF of 320 and 260 =
  33. 33.HCF of 161 and 299 =
  34. 34.HCF of 380 and 280 =
  35. 35.HCF of 136 and 104 =
  36. 36.HCF of 36 and 198 =
  37. 37.HCF of 57 and 247 =
  38. 38.HCF of 182 and 65 =
  39. 39.HCF of 28 and 91 =
  40. 40.HCF of 54 and 60 =

Answer key

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

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