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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 51 · 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 399 and 273 =
  2. 2.HCF of 273 and 378 =
  3. 3.HCF of 136 and 40 =
  4. 4.HCF of 66 and 60 =
  5. 5.HCF of 255 and 60 =
  6. 6.HCF of 10 and 26 =
  7. 7.HCF of 190 and 160 =
  8. 8.HCF of 91 and 104 =
  9. 9.HCF of 105 and 90 =
  10. 10.HCF of 304 and 208 =
  11. 11.HCF of 56 and 160 =
  12. 12.HCF of 90 and 117 =
  13. 13.HCF of 340 and 60 =
  14. 14.HCF of 175 and 375 =
  15. 15.HCF of 90 and 80 =
  16. 16.HCF of 49 and 105 =
  17. 17.HCF of 72 and 456 =
  18. 18.HCF of 154 and 28 =
  19. 19.HCF of 42 and 30 =
  20. 20.HCF of 221 and 51 =
  21. 21.HCF of 54 and 288 =
  22. 22.HCF of 143 and 247 =
  23. 23.HCF of 450 and 425 =
  24. 24.HCF of 175 and 500 =
  25. 25.HCF of 91 and 84 =
  26. 26.HCF of 312 and 168 =
  27. 27.HCF of 240 and 176 =
  28. 28.HCF of 119 and 306 =
  29. 29.HCF of 121 and 55 =
  30. 30.HCF of 384 and 360 =
  31. 31.HCF of 210 and 135 =
  32. 32.HCF of 266 and 84 =
  33. 33.HCF of 78 and 54 =
  34. 34.HCF of 95 and 114 =
  35. 35.HCF of 253 and 460 =
  36. 36.HCF of 180 and 81 =
  37. 37.HCF of 91 and 104 =
  38. 38.HCF of 147 and 126 =
  39. 39.HCF of 90 and 25 =
  40. 40.HCF of 117 and 208 =

Answer key

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

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