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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 546 · 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 165 =
  2. 2.HCF of 380 and 247 =
  3. 3.HCF of 8 and 10 =
  4. 4.HCF of 12 and 44 =
  5. 5.HCF of 63 and 336 =
  6. 6.HCF of 78 and 84 =
  7. 7.HCF of 42 and 112 =
  8. 8.HCF of 180 and 70 =
  9. 9.HCF of 180 and 24 =
  10. 10.HCF of 112 and 192 =
  11. 11.HCF of 85 and 75 =
  12. 12.HCF of 63 and 294 =
  13. 13.HCF of 60 and 400 =
  14. 14.HCF of 160 and 50 =
  15. 15.HCF of 288 and 264 =
  16. 16.HCF of 384 and 360 =
  17. 17.HCF of 6 and 40 =
  18. 18.HCF of 80 and 44 =
  19. 19.HCF of 368 and 253 =
  20. 20.HCF of 30 and 57 =
  21. 21.HCF of 140 and 30 =
  22. 22.HCF of 63 and 14 =
  23. 23.HCF of 216 and 120 =
  24. 24.HCF of 161 and 414 =
  25. 25.HCF of 45 and 57 =
  26. 26.HCF of 18 and 81 =
  27. 27.HCF of 64 and 272 =
  28. 28.HCF of 56 and 63 =
  29. 29.HCF of 408 and 288 =
  30. 30.HCF of 56 and 144 =
  31. 31.HCF of 171 and 81 =
  32. 32.HCF of 30 and 50 =
  33. 33.HCF of 289 and 323 =
  34. 34.HCF of 108 and 306 =
  35. 35.HCF of 45 and 126 =
  36. 36.HCF of 33 and 51 =
  37. 37.HCF of 90 and 66 =
  38. 38.HCF of 36 and 114 =
  39. 39.HCF of 153 and 119 =
  40. 40.HCF of 126 and 36 =

Answer key

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

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