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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 429 · 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 48 and 64 =
  2. 2.HCF of 35 and 20 =
  3. 3.HCF of 39 and 143 =
  4. 4.HCF of 15 and 24 =
  5. 5.HCF of 189 and 357 =
  6. 6.HCF of 130 and 170 =
  7. 7.HCF of 195 and 26 =
  8. 8.HCF of 20 and 38 =
  9. 9.HCF of 33 and 22 =
  10. 10.HCF of 170 and 180 =
  11. 11.HCF of 198 and 234 =
  12. 12.HCF of 68 and 16 =
  13. 13.HCF of 55 and 50 =
  14. 14.HCF of 100 and 320 =
  15. 15.HCF of 39 and 182 =
  16. 16.HCF of 100 and 220 =
  17. 17.HCF of 289 and 68 =
  18. 18.HCF of 182 and 39 =
  19. 19.HCF of 60 and 40 =
  20. 20.HCF of 180 and 234 =
  21. 21.HCF of 115 and 92 =
  22. 22.HCF of 182 and 224 =
  23. 23.HCF of 176 and 242 =
  24. 24.HCF of 432 and 168 =
  25. 25.HCF of 187 and 323 =
  26. 26.HCF of 115 and 437 =
  27. 27.HCF of 340 and 289 =
  28. 28.HCF of 144 and 128 =
  29. 29.HCF of 247 and 76 =
  30. 30.HCF of 55 and 45 =
  31. 31.HCF of 30 and 190 =
  32. 32.HCF of 289 and 51 =
  33. 33.HCF of 45 and 105 =
  34. 34.HCF of 256 and 112 =
  35. 35.HCF of 306 and 288 =
  36. 36.HCF of 20 and 30 =
  37. 37.HCF of 247 and 38 =
  38. 38.HCF of 209 and 99 =
  39. 39.HCF of 126 and 182 =
  40. 40.HCF of 286 and 110 =

Answer key

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

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