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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 549 · 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 108 and 126 =
  2. 2.HCF of 6 and 34 =
  3. 3.HCF of 80 and 60 =
  4. 4.HCF of 169 and 182 =
  5. 5.HCF of 85 and 187 =
  6. 6.HCF of 216 and 156 =
  7. 7.HCF of 198 and 242 =
  8. 8.HCF of 96 and 112 =
  9. 9.HCF of 18 and 48 =
  10. 10.HCF of 190 and 361 =
  11. 11.HCF of 20 and 26 =
  12. 12.HCF of 342 and 288 =
  13. 13.HCF of 144 and 117 =
  14. 14.HCF of 324 and 342 =
  15. 15.HCF of 112 and 80 =
  16. 16.HCF of 136 and 96 =
  17. 17.HCF of 315 and 399 =
  18. 18.HCF of 18 and 78 =
  19. 19.HCF of 361 and 133 =
  20. 20.HCF of 345 and 299 =
  21. 21.HCF of 342 and 361 =
  22. 22.HCF of 216 and 342 =
  23. 23.HCF of 209 and 154 =
  24. 24.HCF of 102 and 96 =
  25. 25.HCF of 22 and 32 =
  26. 26.HCF of 84 and 133 =
  27. 27.HCF of 147 and 315 =
  28. 28.HCF of 100 and 320 =
  29. 29.HCF of 340 and 380 =
  30. 30.HCF of 50 and 95 =
  31. 31.HCF of 312 and 408 =
  32. 32.HCF of 136 and 24 =
  33. 33.HCF of 90 and 165 =
  34. 34.HCF of 252 and 231 =
  35. 35.HCF of 180 and 130 =
  36. 36.HCF of 22 and 26 =
  37. 37.HCF of 100 and 90 =
  38. 38.HCF of 110 and 418 =
  39. 39.HCF of 108 and 30 =
  40. 40.HCF of 40 and 48 =

Answer key

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

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