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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 879 · 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 84 and 182 =
  2. 2.HCF of 36 and 198 =
  3. 3.HCF of 234 and 252 =
  4. 4.HCF of 100 and 120 =
  5. 5.HCF of 56 and 40 =
  6. 6.HCF of 100 and 260 =
  7. 7.HCF of 250 and 325 =
  8. 8.HCF of 24 and 152 =
  9. 9.HCF of 16 and 6 =
  10. 10.HCF of 171 and 99 =
  11. 11.HCF of 51 and 272 =
  12. 12.HCF of 105 and 112 =
  13. 13.HCF of 240 and 264 =
  14. 14.HCF of 100 and 425 =
  15. 15.HCF of 391 and 368 =
  16. 16.HCF of 114 and 12 =
  17. 17.HCF of 360 and 342 =
  18. 18.HCF of 10 and 16 =
  19. 19.HCF of 35 and 49 =
  20. 20.HCF of 15 and 51 =
  21. 21.HCF of 306 and 180 =
  22. 22.HCF of 208 and 247 =
  23. 23.HCF of 104 and 48 =
  24. 24.HCF of 198 and 162 =
  25. 25.HCF of 126 and 119 =
  26. 26.HCF of 253 and 138 =
  27. 27.HCF of 56 and 44 =
  28. 28.HCF of 220 and 209 =
  29. 29.HCF of 110 and 374 =
  30. 30.HCF of 55 and 45 =
  31. 31.HCF of 54 and 36 =
  32. 32.HCF of 55 and 198 =
  33. 33.HCF of 24 and 78 =
  34. 34.HCF of 32 and 26 =
  35. 35.HCF of 30 and 102 =
  36. 36.HCF of 128 and 104 =
  37. 37.HCF of 18 and 10 =
  38. 38.HCF of 40 and 136 =
  39. 39.HCF of 125 and 325 =
  40. 40.HCF of 8 and 28 =

Answer key

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

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