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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 424 · 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 187 and 85 =
  2. 2.HCF of 91 and 117 =
  3. 3.HCF of 25 and 45 =
  4. 4.HCF of 120 and 112 =
  5. 5.HCF of 21 and 12 =
  6. 6.HCF of 252 and 238 =
  7. 7.HCF of 247 and 91 =
  8. 8.HCF of 119 and 323 =
  9. 9.HCF of 54 and 42 =
  10. 10.HCF of 184 and 253 =
  11. 11.HCF of 150 and 110 =
  12. 12.HCF of 52 and 76 =
  13. 13.HCF of 90 and 100 =
  14. 14.HCF of 96 and 54 =
  15. 15.HCF of 45 and 72 =
  16. 16.HCF of 92 and 437 =
  17. 17.HCF of 91 and 133 =
  18. 18.HCF of 192 and 176 =
  19. 19.HCF of 90 and 84 =
  20. 20.HCF of 300 and 165 =
  21. 21.HCF of 120 and 140 =
  22. 22.HCF of 42 and 60 =
  23. 23.HCF of 60 and 51 =
  24. 24.HCF of 264 and 312 =
  25. 25.HCF of 195 and 45 =
  26. 26.HCF of 55 and 88 =
  27. 27.HCF of 45 and 165 =
  28. 28.HCF of 140 and 119 =
  29. 29.HCF of 75 and 20 =
  30. 30.HCF of 384 and 408 =
  31. 31.HCF of 33 and 54 =
  32. 32.HCF of 221 and 169 =
  33. 33.HCF of 160 and 152 =
  34. 34.HCF of 140 and 380 =
  35. 35.HCF of 154 and 242 =
  36. 36.HCF of 57 and 18 =
  37. 37.HCF of 190 and 40 =
  38. 38.HCF of 40 and 22 =
  39. 39.HCF of 140 and 160 =
  40. 40.HCF of 133 and 42 =

Answer key

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

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