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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 438 · 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 57 and 152 =
  2. 2.HCF of 20 and 45 =
  3. 3.HCF of 221 and 195 =
  4. 4.HCF of 30 and 66 =
  5. 5.HCF of 38 and 8 =
  6. 6.HCF of 195 and 247 =
  7. 7.HCF of 18 and 20 =
  8. 8.HCF of 34 and 12 =
  9. 9.HCF of 286 and 440 =
  10. 10.HCF of 16 and 34 =
  11. 11.HCF of 180 and 110 =
  12. 12.HCF of 320 and 260 =
  13. 13.HCF of 110 and 90 =
  14. 14.HCF of 357 and 252 =
  15. 15.HCF of 104 and 48 =
  16. 16.HCF of 55 and 88 =
  17. 17.HCF of 196 and 126 =
  18. 18.HCF of 21 and 24 =
  19. 19.HCF of 88 and 24 =
  20. 20.HCF of 26 and 38 =
  21. 21.HCF of 105 and 91 =
  22. 22.HCF of 114 and 90 =
  23. 23.HCF of 300 and 325 =
  24. 24.HCF of 54 and 102 =
  25. 25.HCF of 253 and 115 =
  26. 26.HCF of 374 and 132 =
  27. 27.HCF of 374 and 330 =
  28. 28.HCF of 220 and 140 =
  29. 29.HCF of 40 and 144 =
  30. 30.HCF of 36 and 38 =
  31. 31.HCF of 36 and 80 =
  32. 32.HCF of 144 and 64 =
  33. 33.HCF of 55 and 70 =
  34. 34.HCF of 30 and 12 =
  35. 35.HCF of 322 and 299 =
  36. 36.HCF of 56 and 52 =
  37. 37.HCF of 253 and 414 =
  38. 38.HCF of 105 and 357 =
  39. 39.HCF of 153 and 187 =
  40. 40.HCF of 168 and 288 =

Answer key

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

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