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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 145 · 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 133 and 114 =
  2. 2.HCF of 30 and 24 =
  3. 3.HCF of 42 and 315 =
  4. 4.HCF of 16 and 12 =
  5. 5.HCF of 234 and 169 =
  6. 6.HCF of 264 and 418 =
  7. 7.HCF of 90 and 78 =
  8. 8.HCF of 15 and 27 =
  9. 9.HCF of 63 and 42 =
  10. 10.HCF of 380 and 400 =
  11. 11.HCF of 110 and 286 =
  12. 12.HCF of 375 and 475 =
  13. 13.HCF of 60 and 195 =
  14. 14.HCF of 255 and 45 =
  15. 15.HCF of 110 and 99 =
  16. 16.HCF of 68 and 32 =
  17. 17.HCF of 78 and 90 =
  18. 18.HCF of 50 and 125 =
  19. 19.HCF of 119 and 77 =
  20. 20.HCF of 56 and 63 =
  21. 21.HCF of 340 and 120 =
  22. 22.HCF of 132 and 228 =
  23. 23.HCF of 198 and 286 =
  24. 24.HCF of 24 and 33 =
  25. 25.HCF of 304 and 323 =
  26. 26.HCF of 209 and 55 =
  27. 27.HCF of 240 and 132 =
  28. 28.HCF of 48 and 264 =
  29. 29.HCF of 204 and 180 =
  30. 30.HCF of 65 and 39 =
  31. 31.HCF of 36 and 96 =
  32. 32.HCF of 500 and 425 =
  33. 33.HCF of 138 and 161 =
  34. 34.HCF of 147 and 399 =
  35. 35.HCF of 72 and 54 =
  36. 36.HCF of 30 and 16 =
  37. 37.HCF of 95 and 133 =
  38. 38.HCF of 110 and 50 =
  39. 39.HCF of 30 and 18 =
  40. 40.HCF of 35 and 77 =

Answer key

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

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