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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 853 · 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 168 and 105 =
  2. 2.HCF of 60 and 100 =
  3. 3.HCF of 105 and 336 =
  4. 4.HCF of 380 and 133 =
  5. 5.HCF of 190 and 140 =
  6. 6.HCF of 38 and 57 =
  7. 7.HCF of 20 and 68 =
  8. 8.HCF of 220 and 66 =
  9. 9.HCF of 384 and 312 =
  10. 10.HCF of 20 and 85 =
  11. 11.HCF of 270 and 105 =
  12. 12.HCF of 306 and 288 =
  13. 13.HCF of 374 and 110 =
  14. 14.HCF of 24 and 204 =
  15. 15.HCF of 28 and 21 =
  16. 16.HCF of 125 and 275 =
  17. 17.HCF of 100 and 65 =
  18. 18.HCF of 91 and 78 =
  19. 19.HCF of 40 and 76 =
  20. 20.HCF of 60 and 220 =
  21. 21.HCF of 437 and 69 =
  22. 22.HCF of 340 and 40 =
  23. 23.HCF of 64 and 240 =
  24. 24.HCF of 55 and 85 =
  25. 25.HCF of 69 and 437 =
  26. 26.HCF of 340 and 187 =
  27. 27.HCF of 324 and 306 =
  28. 28.HCF of 152 and 40 =
  29. 29.HCF of 240 and 112 =
  30. 30.HCF of 153 and 63 =
  31. 31.HCF of 35 and 15 =
  32. 32.HCF of 207 and 460 =
  33. 33.HCF of 90 and 72 =
  34. 34.HCF of 15 and 39 =
  35. 35.HCF of 275 and 325 =
  36. 36.HCF of 20 and 55 =
  37. 37.HCF of 136 and 144 =
  38. 38.HCF of 72 and 112 =
  39. 39.HCF of 272 and 80 =
  40. 40.HCF of 162 and 306 =

Answer key

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

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