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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 641 · 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 6 and 22 =
  2. 2.HCF of 272 and 144 =
  3. 3.HCF of 26 and 65 =
  4. 4.HCF of 120 and 165 =
  5. 5.HCF of 260 and 240 =
  6. 6.HCF of 288 and 270 =
  7. 7.HCF of 55 and 99 =
  8. 8.HCF of 323 and 361 =
  9. 9.HCF of 350 and 425 =
  10. 10.HCF of 55 and 44 =
  11. 11.HCF of 78 and 60 =
  12. 12.HCF of 28 and 49 =
  13. 13.HCF of 260 and 169 =
  14. 14.HCF of 80 and 76 =
  15. 15.HCF of 24 and 66 =
  16. 16.HCF of 264 and 336 =
  17. 17.HCF of 45 and 80 =
  18. 18.HCF of 198 and 72 =
  19. 19.HCF of 475 and 75 =
  20. 20.HCF of 112 and 42 =
  21. 21.HCF of 72 and 42 =
  22. 22.HCF of 18 and 48 =
  23. 23.HCF of 72 and 342 =
  24. 24.HCF of 231 and 210 =
  25. 25.HCF of 32 and 272 =
  26. 26.HCF of 42 and 105 =
  27. 27.HCF of 180 and 70 =
  28. 28.HCF of 153 and 72 =
  29. 29.HCF of 196 and 210 =
  30. 30.HCF of 368 and 437 =
  31. 31.HCF of 165 and 154 =
  32. 32.HCF of 20 and 90 =
  33. 33.HCF of 209 and 22 =
  34. 34.HCF of 221 and 34 =
  35. 35.HCF of 208 and 176 =
  36. 36.HCF of 135 and 120 =
  37. 37.HCF of 90 and 170 =
  38. 38.HCF of 121 and 154 =
  39. 39.HCF of 224 and 80 =
  40. 40.HCF of 60 and 75 =

Answer key

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

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