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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 656 · 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 350 and 125 =
  2. 2.HCF of 286 and 88 =
  3. 3.HCF of 208 and 32 =
  4. 4.HCF of 24 and 27 =
  5. 5.HCF of 147 and 399 =
  6. 6.HCF of 20 and 64 =
  7. 7.HCF of 110 and 88 =
  8. 8.HCF of 34 and 187 =
  9. 9.HCF of 56 and 80 =
  10. 10.HCF of 39 and 42 =
  11. 11.HCF of 21 and 33 =
  12. 12.HCF of 15 and 40 =
  13. 13.HCF of 161 and 299 =
  14. 14.HCF of 90 and 126 =
  15. 15.HCF of 306 and 360 =
  16. 16.HCF of 100 and 40 =
  17. 17.HCF of 225 and 125 =
  18. 18.HCF of 75 and 165 =
  19. 19.HCF of 250 and 75 =
  20. 20.HCF of 180 and 105 =
  21. 21.HCF of 72 and 90 =
  22. 22.HCF of 117 and 135 =
  23. 23.HCF of 16 and 88 =
  24. 24.HCF of 234 and 342 =
  25. 25.HCF of 299 and 115 =
  26. 26.HCF of 110 and 40 =
  27. 27.HCF of 136 and 160 =
  28. 28.HCF of 92 and 253 =
  29. 29.HCF of 64 and 40 =
  30. 30.HCF of 77 and 98 =
  31. 31.HCF of 304 and 133 =
  32. 32.HCF of 66 and 18 =
  33. 33.HCF of 72 and 20 =
  34. 34.HCF of 207 and 437 =
  35. 35.HCF of 50 and 475 =
  36. 36.HCF of 33 and 24 =
  37. 37.HCF of 289 and 34 =
  38. 38.HCF of 375 and 475 =
  39. 39.HCF of 160 and 190 =
  40. 40.HCF of 144 and 156 =

Answer key

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

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