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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 267 · 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 60 and 255 =
  2. 2.HCF of 96 and 156 =
  3. 3.HCF of 357 and 294 =
  4. 4.HCF of 147 and 399 =
  5. 5.HCF of 306 and 342 =
  6. 6.HCF of 96 and 272 =
  7. 7.HCF of 112 and 210 =
  8. 8.HCF of 408 and 336 =
  9. 9.HCF of 176 and 154 =
  10. 10.HCF of 39 and 57 =
  11. 11.HCF of 325 and 75 =
  12. 12.HCF of 12 and 16 =
  13. 13.HCF of 65 and 104 =
  14. 14.HCF of 64 and 80 =
  15. 15.HCF of 342 and 360 =
  16. 16.HCF of 120 and 105 =
  17. 17.HCF of 27 and 18 =
  18. 18.HCF of 30 and 12 =
  19. 19.HCF of 33 and 55 =
  20. 20.HCF of 380 and 171 =
  21. 21.HCF of 323 and 114 =
  22. 22.HCF of 96 and 72 =
  23. 23.HCF of 95 and 247 =
  24. 24.HCF of 38 and 247 =
  25. 25.HCF of 133 and 361 =
  26. 26.HCF of 40 and 170 =
  27. 27.HCF of 72 and 28 =
  28. 28.HCF of 44 and 36 =
  29. 29.HCF of 40 and 45 =
  30. 30.HCF of 140 and 110 =
  31. 31.HCF of 50 and 75 =
  32. 32.HCF of 80 and 150 =
  33. 33.HCF of 92 and 253 =
  34. 34.HCF of 72 and 96 =
  35. 35.HCF of 90 and 78 =
  36. 36.HCF of 92 and 115 =
  37. 37.HCF of 84 and 154 =
  38. 38.HCF of 198 and 162 =
  39. 39.HCF of 24 and 42 =
  40. 40.HCF of 56 and 12 =

Answer key

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

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