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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 236 · 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 72 and 153 =
  2. 2.HCF of 48 and 264 =
  3. 3.HCF of 264 and 96 =
  4. 4.HCF of 200 and 425 =
  5. 5.HCF of 42 and 189 =
  6. 6.HCF of 420 and 399 =
  7. 7.HCF of 45 and 117 =
  8. 8.HCF of 50 and 15 =
  9. 9.HCF of 10 and 15 =
  10. 10.HCF of 110 and 66 =
  11. 11.HCF of 136 and 128 =
  12. 12.HCF of 20 and 38 =
  13. 13.HCF of 320 and 300 =
  14. 14.HCF of 75 and 125 =
  15. 15.HCF of 84 and 30 =
  16. 16.HCF of 256 and 272 =
  17. 17.HCF of 34 and 30 =
  18. 18.HCF of 60 and 110 =
  19. 19.HCF of 192 and 60 =
  20. 20.HCF of 42 and 60 =
  21. 21.HCF of 90 and 84 =
  22. 22.HCF of 40 and 380 =
  23. 23.HCF of 35 and 50 =
  24. 24.HCF of 187 and 33 =
  25. 25.HCF of 133 and 140 =
  26. 26.HCF of 46 and 391 =
  27. 27.HCF of 255 and 150 =
  28. 28.HCF of 25 and 10 =
  29. 29.HCF of 52 and 20 =
  30. 30.HCF of 66 and 72 =
  31. 31.HCF of 39 and 247 =
  32. 32.HCF of 198 and 308 =
  33. 33.HCF of 437 and 207 =
  34. 34.HCF of 22 and 99 =
  35. 35.HCF of 98 and 42 =
  36. 36.HCF of 81 and 117 =
  37. 37.HCF of 144 and 136 =
  38. 38.HCF of 168 and 238 =
  39. 39.HCF of 18 and 28 =
  40. 40.HCF of 63 and 171 =

Answer key

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

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