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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 320 · 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 75 and 475 =
  2. 2.HCF of 162 and 288 =
  3. 3.HCF of 42 and 45 =
  4. 4.HCF of 18 and 8 =
  5. 5.HCF of 20 and 24 =
  6. 6.HCF of 49 and 140 =
  7. 7.HCF of 56 and 128 =
  8. 8.HCF of 208 and 80 =
  9. 9.HCF of 42 and 231 =
  10. 10.HCF of 90 and 110 =
  11. 11.HCF of 10 and 26 =
  12. 12.HCF of 16 and 22 =
  13. 13.HCF of 273 and 336 =
  14. 14.HCF of 208 and 224 =
  15. 15.HCF of 48 and 32 =
  16. 16.HCF of 50 and 30 =
  17. 17.HCF of 247 and 152 =
  18. 18.HCF of 88 and 286 =
  19. 19.HCF of 175 and 500 =
  20. 20.HCF of 54 and 78 =
  21. 21.HCF of 12 and 40 =
  22. 22.HCF of 154 and 70 =
  23. 23.HCF of 39 and 27 =
  24. 24.HCF of 12 and 40 =
  25. 25.HCF of 42 and 224 =
  26. 26.HCF of 306 and 289 =
  27. 27.HCF of 80 and 272 =
  28. 28.HCF of 375 and 425 =
  29. 29.HCF of 375 and 175 =
  30. 30.HCF of 425 and 375 =
  31. 31.HCF of 306 and 144 =
  32. 32.HCF of 105 and 126 =
  33. 33.HCF of 270 and 126 =
  34. 34.HCF of 154 and 44 =
  35. 35.HCF of 108 and 84 =
  36. 36.HCF of 408 and 336 =
  37. 37.HCF of 20 and 6 =
  38. 38.HCF of 234 and 198 =
  39. 39.HCF of 150 and 135 =
  40. 40.HCF of 150 and 110 =

Answer key

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

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