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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 659 · 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 76 =
  2. 2.HCF of 437 and 345 =
  3. 3.HCF of 119 and 68 =
  4. 4.HCF of 133 and 304 =
  5. 5.HCF of 70 and 15 =
  6. 6.HCF of 84 and 78 =
  7. 7.HCF of 171 and 162 =
  8. 8.HCF of 27 and 12 =
  9. 9.HCF of 63 and 168 =
  10. 10.HCF of 198 and 288 =
  11. 11.HCF of 300 and 135 =
  12. 12.HCF of 60 and 66 =
  13. 13.HCF of 20 and 38 =
  14. 14.HCF of 66 and 220 =
  15. 15.HCF of 10 and 6 =
  16. 16.HCF of 253 and 437 =
  17. 17.HCF of 208 and 91 =
  18. 18.HCF of 162 and 126 =
  19. 19.HCF of 380 and 247 =
  20. 20.HCF of 315 and 357 =
  21. 21.HCF of 60 and 57 =
  22. 22.HCF of 16 and 44 =
  23. 23.HCF of 66 and 108 =
  24. 24.HCF of 57 and 12 =
  25. 25.HCF of 480 and 456 =
  26. 26.HCF of 143 and 22 =
  27. 27.HCF of 35 and 119 =
  28. 28.HCF of 35 and 40 =
  29. 29.HCF of 15 and 57 =
  30. 30.HCF of 56 and 12 =
  31. 31.HCF of 156 and 240 =
  32. 32.HCF of 195 and 91 =
  33. 33.HCF of 40 and 64 =
  34. 34.HCF of 220 and 300 =
  35. 35.HCF of 30 and 54 =
  36. 36.HCF of 102 and 96 =
  37. 37.HCF of 52 and 72 =
  38. 38.HCF of 85 and 65 =
  39. 39.HCF of 126 and 144 =
  40. 40.HCF of 182 and 168 =

Answer key

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

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