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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 582 · 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 91 and 143 =
  2. 2.HCF of 252 and 162 =
  3. 3.HCF of 24 and 20 =
  4. 4.HCF of 456 and 216 =
  5. 5.HCF of 135 and 150 =
  6. 6.HCF of 36 and 52 =
  7. 7.HCF of 15 and 55 =
  8. 8.HCF of 104 and 16 =
  9. 9.HCF of 10 and 8 =
  10. 10.HCF of 36 and 162 =
  11. 11.HCF of 72 and 44 =
  12. 12.HCF of 16 and 88 =
  13. 13.HCF of 88 and 152 =
  14. 14.HCF of 45 and 18 =
  15. 15.HCF of 18 and 51 =
  16. 16.HCF of 270 and 255 =
  17. 17.HCF of 168 and 120 =
  18. 18.HCF of 28 and 26 =
  19. 19.HCF of 126 and 54 =
  20. 20.HCF of 255 and 240 =
  21. 21.HCF of 132 and 209 =
  22. 22.HCF of 306 and 221 =
  23. 23.HCF of 168 and 154 =
  24. 24.HCF of 231 and 315 =
  25. 25.HCF of 52 and 28 =
  26. 26.HCF of 204 and 180 =
  27. 27.HCF of 6 and 21 =
  28. 28.HCF of 18 and 27 =
  29. 29.HCF of 52 and 44 =
  30. 30.HCF of 180 and 306 =
  31. 31.HCF of 391 and 69 =
  32. 32.HCF of 50 and 80 =
  33. 33.HCF of 34 and 12 =
  34. 34.HCF of 80 and 55 =
  35. 35.HCF of 247 and 95 =
  36. 36.HCF of 275 and 500 =
  37. 37.HCF of 480 and 72 =
  38. 38.HCF of 400 and 380 =
  39. 39.HCF of 420 and 399 =
  40. 40.HCF of 190 and 110 =

Answer key

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

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