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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 691 · 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 30 and 102 =
  2. 2.HCF of 323 and 221 =
  3. 3.HCF of 152 and 160 =
  4. 4.HCF of 168 and 288 =
  5. 5.HCF of 65 and 104 =
  6. 6.HCF of 76 and 72 =
  7. 7.HCF of 240 and 176 =
  8. 8.HCF of 105 and 112 =
  9. 9.HCF of 96 and 408 =
  10. 10.HCF of 25 and 55 =
  11. 11.HCF of 69 and 391 =
  12. 12.HCF of 154 and 126 =
  13. 13.HCF of 90 and 234 =
  14. 14.HCF of 450 and 325 =
  15. 15.HCF of 104 and 16 =
  16. 16.HCF of 144 and 152 =
  17. 17.HCF of 437 and 46 =
  18. 18.HCF of 168 and 357 =
  19. 19.HCF of 45 and 108 =
  20. 20.HCF of 144 and 156 =
  21. 21.HCF of 126 and 35 =
  22. 22.HCF of 255 and 75 =
  23. 23.HCF of 110 and 33 =
  24. 24.HCF of 65 and 35 =
  25. 25.HCF of 60 and 160 =
  26. 26.HCF of 40 and 136 =
  27. 27.HCF of 300 and 195 =
  28. 28.HCF of 368 and 69 =
  29. 29.HCF of 336 and 264 =
  30. 30.HCF of 91 and 26 =
  31. 31.HCF of 266 and 247 =
  32. 32.HCF of 240 and 135 =
  33. 33.HCF of 128 and 144 =
  34. 34.HCF of 154 and 352 =
  35. 35.HCF of 16 and 20 =
  36. 36.HCF of 136 and 255 =
  37. 37.HCF of 260 and 220 =
  38. 38.HCF of 117 and 27 =
  39. 39.HCF of 40 and 380 =
  40. 40.HCF of 24 and 40 =

Answer key

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

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