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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 836 · 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 40 and 52 =
  2. 2.HCF of 70 and 110 =
  3. 3.HCF of 475 and 125 =
  4. 4.HCF of 161 and 207 =
  5. 5.HCF of 152 and 80 =
  6. 6.HCF of 150 and 475 =
  7. 7.HCF of 299 and 69 =
  8. 8.HCF of 165 and 270 =
  9. 9.HCF of 195 and 247 =
  10. 10.HCF of 144 and 272 =
  11. 11.HCF of 336 and 312 =
  12. 12.HCF of 28 and 119 =
  13. 13.HCF of 40 and 140 =
  14. 14.HCF of 24 and 26 =
  15. 15.HCF of 114 and 72 =
  16. 16.HCF of 18 and 66 =
  17. 17.HCF of 80 and 150 =
  18. 18.HCF of 360 and 198 =
  19. 19.HCF of 92 and 299 =
  20. 20.HCF of 152 and 24 =
  21. 21.HCF of 40 and 170 =
  22. 22.HCF of 28 and 34 =
  23. 23.HCF of 120 and 36 =
  24. 24.HCF of 342 and 234 =
  25. 25.HCF of 25 and 90 =
  26. 26.HCF of 156 and 24 =
  27. 27.HCF of 120 and 114 =
  28. 28.HCF of 42 and 112 =
  29. 29.HCF of 70 and 49 =
  30. 30.HCF of 102 and 12 =
  31. 31.HCF of 44 and 48 =
  32. 32.HCF of 96 and 90 =
  33. 33.HCF of 85 and 289 =
  34. 34.HCF of 39 and 9 =
  35. 35.HCF of 126 and 357 =
  36. 36.HCF of 57 and 24 =
  37. 37.HCF of 20 and 36 =
  38. 38.HCF of 322 and 345 =
  39. 39.HCF of 323 and 238 =
  40. 40.HCF of 8 and 12 =

Answer key

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

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