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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 756 · 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 56 and 49 =
  2. 2.HCF of 80 and 224 =
  3. 3.HCF of 360 and 312 =
  4. 4.HCF of 96 and 156 =
  5. 5.HCF of 204 and 240 =
  6. 6.HCF of 357 and 315 =
  7. 7.HCF of 437 and 368 =
  8. 8.HCF of 60 and 18 =
  9. 9.HCF of 350 and 475 =
  10. 10.HCF of 342 and 108 =
  11. 11.HCF of 384 and 360 =
  12. 12.HCF of 133 and 119 =
  13. 13.HCF of 266 and 126 =
  14. 14.HCF of 10 and 26 =
  15. 15.HCF of 361 and 95 =
  16. 16.HCF of 150 and 105 =
  17. 17.HCF of 75 and 40 =
  18. 18.HCF of 255 and 150 =
  19. 19.HCF of 12 and 90 =
  20. 20.HCF of 187 and 66 =
  21. 21.HCF of 252 and 70 =
  22. 22.HCF of 45 and 144 =
  23. 23.HCF of 361 and 342 =
  24. 24.HCF of 72 and 156 =
  25. 25.HCF of 63 and 399 =
  26. 26.HCF of 28 and 20 =
  27. 27.HCF of 160 and 260 =
  28. 28.HCF of 147 and 315 =
  29. 29.HCF of 114 and 96 =
  30. 30.HCF of 225 and 200 =
  31. 31.HCF of 325 and 275 =
  32. 32.HCF of 143 and 187 =
  33. 33.HCF of 308 and 418 =
  34. 34.HCF of 119 and 56 =
  35. 35.HCF of 378 and 147 =
  36. 36.HCF of 312 and 216 =
  37. 37.HCF of 77 and 165 =
  38. 38.HCF of 330 and 418 =
  39. 39.HCF of 69 and 368 =
  40. 40.HCF of 91 and 52 =

Answer key

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

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